{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":8,"title":"Add two numbers","description":"Given a and b, return the sum a+b in c.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 123.5px 8px; transform-origin: 123.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a and b, return the sum a+b in c.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = add_two_numbers(a,b)\r\n  c = 17;\r\nend","test_suite":"%%\r\nfiletext = fileread('add_two_numbers.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'if') || contains(filetext, 'switch'); \r\nassert(~illegal)\r\n\r\n%%\r\na = 1;\r\nb = 2;\r\nc_correct = 3;\r\nassert(isequal(add_two_numbers(a,b),c_correct))\r\n\r\n%%\r\na = 17;\r\nb = 2;\r\nc_correct = 19;\r\nassert(isequal(add_two_numbers(a,b),c_correct))\r\n\r\n\r\n%%\r\na = -5;\r\nb = 2;\r\nc_correct = -3;\r\nassert(isequal(add_two_numbers(a,b),c_correct))\r\n\r\n%%\r\na = randi(1e4);\r\nb = -a;\r\nassert(isequal(add_two_numbers(a,b),0))\r\n\r\n%%\r\na = randi(1e3);\r\nb = a;\r\nassert(isequal(add_two_numbers(a,b),2*a))\r\n","published":true,"deleted":false,"likes_count":306,"comments_count":84,"created_by":1,"edited_by":223089,"edited_at":"2022-12-19T10:49:35.000Z","deleted_by":null,"deleted_at":null,"solvers_count":46843,"test_suite_updated_at":"2022-12-19T10:49:47.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:18.000Z","updated_at":"2026-04-05T10:29:11.000Z","published_at":"2012-01-18T01:00:18.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a and b, return the sum a+b in c.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1545,"title":"Return area of square","description":"Side of square=input=a\r\n\r\nArea=output=b","description_html":"\u003cp\u003eSide of square=input=a\u003c/p\u003e\u003cp\u003eArea=output=b\u003c/p\u003e","function_template":"function b = area_square(a)\r\n  b = a;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = 0;\r\nassert(isequal(area_square(x),y_correct))\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(area_square(x),y_correct))\r\n%%\r\nx = 11;\r\ny_correct = 121;\r\nassert(isequal(area_square(x),y_correct))\r\n%%\r\nx = 101;\r\ny_correct = 10201;\r\nassert(isequal(area_square(x),y_correct))","published":true,"deleted":false,"likes_count":67,"comments_count":12,"created_by":14249,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18178,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-06-03T09:56:54.000Z","updated_at":"2026-04-05T08:25:50.000Z","published_at":"2013-06-03T09:56:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSide of square=input=a\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArea=output=b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45209,"title":"An Ohm's Law Calculator","description":"*BACKGROUND / MOTIVATION:*\r\n\r\nMany important observations in math and science can be described by short, but powerful, equations:\r\n \r\n * The Pythagorean Theorem (c^2 = a^2 + b^2)\r\n * Newton's Second Law of Motion (F = ma)\r\n * Einstein's Mass-Energy Equivalence (E = mc^2)\r\n\r\nFor electrical circuits, one of the most useful and important equations is:\r\n\r\n * Ohm's Law (V = IR)\r\n\r\nOhm's Law describes the relationship between voltage (V), current (I), and resistance (R) in electrical circuits.\r\n\r\nFor more information, check out: \u003chttps://www.build-electronic-circuits.com/ohms-law/\u003e\r\n\r\n*PROBLEM DESCRIPTION:*\r\n\r\nGiven the current (I) through a resistor with resistance (R), create a function that will return the voltage (V) across the resistor.\r\n","description_html":"\u003cp\u003e\u003cb\u003eBACKGROUND / MOTIVATION:\u003c/b\u003e\u003c/p\u003e\u003cp\u003eMany important observations in math and science can be described by short, but powerful, equations:\u003c/p\u003e\u003cpre\u003e * The Pythagorean Theorem (c^2 = a^2 + b^2)\r\n * Newton's Second Law of Motion (F = ma)\r\n * Einstein's Mass-Energy Equivalence (E = mc^2)\u003c/pre\u003e\u003cp\u003eFor electrical circuits, one of the most useful and important equations is:\u003c/p\u003e\u003cpre\u003e * Ohm's Law (V = IR)\u003c/pre\u003e\u003cp\u003eOhm's Law describes the relationship between voltage (V), current (I), and resistance (R) in electrical circuits.\u003c/p\u003e\u003cp\u003eFor more information, check out: \u003ca href = \"https://www.build-electronic-circuits.com/ohms-law/\"\u003ehttps://www.build-electronic-circuits.com/ohms-law/\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003ePROBLEM DESCRIPTION:\u003c/b\u003e\u003c/p\u003e\u003cp\u003eGiven the current (I) through a resistor with resistance (R), create a function that will return the voltage (V) across the resistor.\u003c/p\u003e","function_template":"function V = OhmsLaw(I,R)\r\n  V = 0; % modify this equation to use Ohm's Law\r\nend","test_suite":"%%\r\nI = 0.09; %90mA current\r\nR = 100; %100 Ohm resistor\r\nV_correct = 9; %9V voltage\r\nassert(isequal(OhmsLaw(I,R),V_correct))\r\n\r\n%%\r\nI = 0.012; %12mA current\r\nR = 1000; %1kOhm resistor\r\nV_correct = 12; %12V voltage\r\nassert(isequal(OhmsLaw(I,R),V_correct))","published":true,"deleted":false,"likes_count":12,"comments_count":1,"created_by":377536,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1860,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-20T14:14:50.000Z","updated_at":"2026-04-03T03:29:27.000Z","published_at":"2019-11-21T02:54:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBACKGROUND / MOTIVATION:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMany important observations in math and science can be described by short, but powerful, equations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ * The Pythagorean Theorem (c^2 = a^2 + b^2)\\n * Newton's Second Law of Motion (F = ma)\\n * Einstein's Mass-Energy Equivalence (E = mc^2)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor electrical circuits, one of the most useful and important equations is:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ * Ohm's Law (V = IR)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOhm's Law describes the relationship between voltage (V), current (I), and resistance (R) in electrical circuits.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor more information, check out:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.build-electronic-circuits.com/ohms-law/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://www.build-electronic-circuits.com/ohms-law/\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ePROBLEM DESCRIPTION:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the current (I) through a resistor with resistance (R), create a function that will return the voltage (V) across the resistor.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":55390,"title":"Force and Motion 3","description":"Two robots push on a large object in the same direction.  One robot pushes with a force of F1 Newtons and the other with a force of F2 Newtons.  Determine the Net force on the object.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 157px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78.5px; transform-origin: 407px 78.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTwo robots push on a large object in the same direction.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOne robot pushes with a force of F1 Newtons and the other with a force of F2 Newtons.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDetermine the Net force on the object.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function N = netforce(F1, F2) % Do not edit this line.\r\n  % insert your code here\r\n  N =\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(netforce(10,30),40));\r\n%%\r\nassert(isequal(netforce(20,60),80));\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-08T18:45:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1489,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-08-31T13:49:45.000Z","updated_at":"2026-04-03T03:26:24.000Z","published_at":"2022-08-31T13:49:45.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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from Fahrenheit to Celsius","description":"Given an input vector F containing temperature values in Fahrenheit, return an output vector C that contains the values in Celsius using the formula:\r\nC = (F–32) * 5/9","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 36.5px; transform-origin: 407px 36.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.25px; text-align: left; transform-origin: 384px 21.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.5px 8px; transform-origin: 67.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an input vector\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 218px 8px; transform-origin: 218px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e containing temperature values in Fahrenheit, return an output vector\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86.5px 8px; transform-origin: 86.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that contains the values in Celsius using the formula:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.75px; text-align: left; transform-origin: 384px 10.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 64px 8.5px; transform-origin: 64px 8.5px; \"\u003eC = (F–32) * 5/9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function C = temp_convert(F)\r\n  C = F;\r\nend","test_suite":"%%\r\nfiletext = fileread('temp_convert.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assignin') || ...\r\n          contains(filetext, 'switch') || contains(filetext, 'elseif'); \r\nassert(~illegal)\r\n%%\r\nF = [75 82 97 65];\r\nC_correct = [23.8889   27.7778   36.1111   18.3333];\r\nassert(all(abs(temp_convert(F) - C_correct) \u003c 1e-4))\r\n%%\r\nF = [];\r\nC_correct = [];\r\nassert(all(abs(temp_convert(F) - C_correct) \u003c 1e-4))\r\n%%\r\nF = [-1; 1200];\r\nC_correct = [-18.3333;648.8889];\r\nassert(all(abs(temp_convert(F) - C_correct) \u003c 1e-4))","published":true,"deleted":false,"likes_count":115,"comments_count":7,"created_by":162851,"edited_by":223089,"edited_at":"2023-02-03T09:23:29.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27967,"test_suite_updated_at":"2023-02-03T09:23:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-08-13T19:53:45.000Z","updated_at":"2026-04-05T11:17:43.000Z","published_at":"2019-08-29T18:16:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an input vector\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e containing temperature values in Fahrenheit, return an output vector\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that contains the values in Celsius using the formula:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC = (F–32) * 5/9\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":48905,"title":"Potential energy calculation","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the potential energy of an object with mass 'm' and height 'h'. Consider g=10 m/s^2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function PE = your_fcn_name(m,h)\r\n  y = x;\r\nend","test_suite":"%%\r\nm=10;\r\nh=10;\r\ny_correct = 1000;\r\nassert(isequal(your_fcn_name(m,h),y_correct))\r\n\r\n%%\r\nm=1;\r\nh=12;\r\ny_correct = 120;\r\nassert(isequal(your_fcn_name(m,h),y_correct))\r\n%%\r\nm=85;\r\nh=10;\r\ny_correct = 8500;\r\nassert(isequal(your_fcn_name(m,h),y_correct))\r\n","published":true,"deleted":false,"likes_count":15,"comments_count":0,"created_by":644918,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":3015,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-21T20:24:12.000Z","updated_at":"2026-04-04T04:01:58.000Z","published_at":"2020-12-21T20:24:12.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the potential energy of an object with mass 'm' and height 'h'. Consider g=10 m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55320,"title":"Force and Motion 2","description":"Two robots are pulling on an object in opposite directions. One robot pulls with a force of F1 Newtons and the other with a force of F2 Newtons.  Write a function that returns the net force N exerted on the object.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 160.667px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 80.3333px; transform-origin: 407px 80.3333px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTwo robots are pulling on an object in opposite directions. One robot pulls with a force of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Newtons and the other with a force of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Newtons.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWrite a function that returns the net force \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eexerted on the object.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 109.667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 54.8333px; text-align: left; transform-origin: 384px 54.8333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"534\" height=\"104\" style=\"vertical-align: baseline;width: 534px;height: 104px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function N = netforce(F1, F2) % Do not edit this line.\r\n  % insert your code here\r\n  N =\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(netforce(10,30),20));\r\n%% \r\nassert(isequal(netforce(20,60),40)); 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTwo robots are pulling on an object in opposite directions. One robot pulls with a force of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Newtons and the other with a force of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Newtons.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that returns the net force \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eexerted on the object.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"104\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"534\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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2 - START HERE","description":"Try out this test problem first.\r\n\r\nGiven the variable x as your input, multiply it by two and put the result in y.\r\n\r\nExamples:\r\n\r\n Input  x = 2\r\n Output y is 4\r\n\r\n Input  x = 17\r\n Output y is 34\r\n","description_html":"\u003cp\u003eTry out this test problem first.\u003c/p\u003e\u003cp\u003eGiven the variable x as your input, multiply it by two and put the result in y.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e Input  x = 2\r\n Output y is 4\u003c/pre\u003e\u003cpre\u003e Input  x = 17\r\n Output y is 34\u003c/pre\u003e","function_template":"function y = times2(x) % Do not edit this line.\r\n\r\n  % Modify the line below so that the output y is twice the incoming value x\r\n\r\n  y = x;\r\n\r\n  % After you modify the code, press the \"Submit\" button, and you're on your way.\r\n\r\nend % Do not edit this line.","test_suite":"%%\r\nassert(isequal(times2(1),2));\r\n\r\n%%\r\nassert(isequal(times2(11),22));\r\n\r\n%%\r\nassert(isequal(times2(-3),-6));\r\n\r\n%%\r\nassert(isequal(times2(29),58));","published":true,"deleted":false,"likes_count":2290,"comments_count":147,"created_by":1,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":114395,"test_suite_updated_at":"2012-01-25T22:41:49.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:16.000Z","updated_at":"2026-04-05T11:21:06.000Z","published_at":"2012-01-18T01:00:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTry out this test problem first.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the variable x as your input, multiply it by two and put the result in y.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  x = 2\\n Output y is 4\\n\\n Input  x = 17\\n Output y is 34]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":55610,"title":"Linear Motion 3","description":"Suppose a robot is moving in a straight line and steadily increases its speed.  It moves from v1 ft/s to v1+2 ft/s in the first second and v2 ft/s to v2+3 ft/s in the next second.  What is the total acceleration in ft/sec2? Round to the nearest tenth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.9px; transform-origin: 407px 75.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSuppose a robot is moving in a straight line and steadily increases its speed.  It moves from v1 ft/s to v1+2 ft/s in the first second and v2 ft/s to v2+3 ft/s in the next second.  What is the total acceleration in ft/sec2? Round to the nearest tenth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.4px; text-align: left; transform-origin: 384px 50.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"323\" height=\"95\" style=\"vertical-align: baseline;width: 323px;height: 95px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function a = findAccel3(v1) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findAccel3 (3.5),2.5));\r\n%%\r\nassert(isequal(findAccel3 (6.2),2.5));\r\n%%\r\nassert(isequal(findAccel3 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose a robot is moving in a straight line and steadily increases its speed.  It moves from v1 ft/s to v1+2 ft/s in the first second and v2 ft/s to v2+3 ft/s in the next second.  What is the total acceleration in ft/sec2? 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Motion 5","description":"A robot moving down an incline for 3 seconds undergoes a uniform acceleration of a ft/s2. If the robot has an initial velocity of v1 ft/s when it starts down, what is its final velocity (v2) at the bottom of the incline? Round to the nearest tenth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 146.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 73.25px; transform-origin: 407px 73.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 261px 8px; transform-origin: 261px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA robot moving down an incline for 3 seconds undergoes a uniform acceleration of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ea\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5px 8px; transform-origin: 15.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e ft/s2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.5px 8px; transform-origin: 81.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If the robot has an initial velocity of v1 ft/s when it starts down, what is its final velocity (v2) at the bottom of the incline? Round to the nearest tenth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 95.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 47.75px; text-align: left; transform-origin: 384px 47.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v2 = findVelocity(v1, a) % Do not edit this line.\r\n  % insert your code here\r\n   v2 =\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findVelocity(2,1.2),5.6));\r\n%%\r\nassert(isequal(findVelocity(5,2.3),11.9));\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":2,"created_by":542228,"edited_by":223089,"edited_at":"2022-09-11T09:45:01.000Z","deleted_by":null,"deleted_at":null,"solvers_count":387,"test_suite_updated_at":"2022-09-11T09:45:01.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-10T01:55:20.000Z","updated_at":"2026-04-01T23:20:04.000Z","published_at":"2022-09-10T01:58:18.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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If the robot has an initial velocity of v1 ft/s when it starts down, what is its final velocity (v2) at the bottom of the incline? 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in a lamp","description":"A lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being applied to the lamp? Round to 2 decimal places.\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 72px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 36px; transform-origin: 407px 36px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being applied to the lamp? Round to 2 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function V = findVoltage(R,P) % Do not edit this line.\r\n  % insert your code here\r\n  V = ?;\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findVoltage(45,80),60));\r\n%%\r\nassert(isequal(findVoltage(145,100),120.42));\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":3,"created_by":542228,"edited_by":223089,"edited_at":"2022-09-17T10:01:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":393,"test_suite_updated_at":"2022-09-17T09:59:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:26:15.000Z","updated_at":"2026-03-30T16:46:37.000Z","published_at":"2022-09-15T12:26:15.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being applied to the lamp? Round to 2 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55605,"title":"Linear Motion 2","description":"During testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain.  The testing takes place over a T hour period.  What was the average speed in km/hr of the test vehicle? Round to the nearest tenth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 141.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 70.9px; transform-origin: 407px 70.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDuring testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe testing takes place over a T hour period.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat was the average speed in km/hr of the test vehicle? Round to the nearest tenth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 90.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 45.4px; text-align: left; transform-origin: 384px 45.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findSpeed(24,4),6));\r\n%%\r\nassert(isequal(findSpeed(34,3),11.3));\r\n%%\r\nassert(isequal(findSpeed(20,8),2.5));\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:33:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":464,"test_suite_updated_at":"2022-10-11T18:33:34.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T19:21:21.000Z","updated_at":"2026-04-01T23:09:56.000Z","published_at":"2022-09-09T19:21:21.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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What is the acceleration of the robot to the nearest hundredth ft/sec2?\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 152px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 76px; transform-origin: 407px 76px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAn object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during the third second.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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Motion 4","description":"A robot accelerates at a rate of A ft/s2.  Assuming the robot starts from rest how much time is required to reach an object located X ft away? Round to the nearest tenth of a second.\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.9px; transform-origin: 407px 75.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA robot accelerates at a rate of A ft/s\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAssuming the robot starts from rest how much time is required to reach an object located X ft away? Round to the nearest tenth of a second.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.4px; text-align: left; transform-origin: 384px 50.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function t = findTime (A,X) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this 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of Static friction","description":"The coefficient of static friction between two surfaces is u.  What force must be used to move a W lb. crate on a horizontal surface? Round to the nearest whole number.\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.9px; transform-origin: 407px 75.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe coefficient of static friction between two surfaces is u.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat force must be used to move a W lb. crate on a horizontal surface? Round to the nearest whole number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.4px; text-align: left; transform-origin: 384px 50.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"342\" height=\"95\" style=\"vertical-align: baseline;width: 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pDSC0tZU2FcJV9kHb7RrsadOVWW7BZZyE6kaa3pvCFDx3Q3PItm1DhT9NLxOzZrE8XiJvUxP2bsqIlIuMSJLWskKdYHcEpCAs77n21etS9J7DmkewP2/RfU3H9PZf6WQ/j2Ow2YU2PdX3GFpmORVcYZbWEOJDjZSUK+3yCt6YMdpnRP8AzwaO/wD6Z3y0fumNEv8AO9vrv/czvlrI9guflv8AB4e22/xr8ll1mjZpdo2BaYYfHyO3i4T4smbkCbWi6R7c3DSHENy+NaQrvHUtpUTuNuI9dqXHLsXyfGcOyXTLUXB8lye32PVW15HZ7qm1egxry3NmtuSWIzLTnCopecf2bP2VpVuOdNR+6Y0T6jL2/wCbu+WsZz3U7stan26Jas9mw7xEgTWrjHaeZkJDcls7tujgAPEk8x4U9guvlv8AA9ut/jQt960wtttyu2rvWg17vEfJ7dmztjxZqKFuWqHLkxhEQ5FKw1HTxrW4SP7SXU9CBw3jINP9RYVxnW6+aZZpkEu03zTZ9NyhwS6zNdtjYTOkoVxp71KAVglY+0diBvsRvG8andmC5ZjC1LenQ3sss8J6FbbkWZHeR2lpPEhI24diTz3HXbwFZToTrFH1Rx4sXUMsZDb0gTY4TsHEH9V5AP8Agn2j2K3HhVZ2dxTg6koNJeQjeUJyUIyTYtDujGXxo2eTo2Dakzs6QuZ+k/SJbaLPfrUq6tyXI8R0BJfcejI4EIcUVI3UjcDru/sm2K6WKRqg6rS244RYb1mKrrYYk1luMp2K5CjIJEZJJYAW0r7J2HPkBsa36lCFAkoHPrX0ShA22G1Y2TKPVFFFAFFFFARuPGioOw51CXEnoQajIPdeTRxDxFG6fEb/AI1HUg1J2jdQcgwHBu+x2K8mVdH/AEH0/b7EEKB+2fBR24UeziIpPrJkGVY0l9vGsqvdqRJWHH0RJamw64BtxqGx3VsOZ9tdCMgsNrye0TLDe4jUqDOaUy8y5zCkn/n7QfYQDWgcF7KONNXHIomfxZNyjsTUJs8tuc6yXIhaSdlpQoDjC+IKPtI39tdHo+o2dnQlCvDL/s53VtPurqtGdCWEaIGo+qHs1Kyr5ir+qp9ZGqHvLyv5ir+qmm/coaJH/uCf82k+ej9yhol/5BcPm0rz1s/felfI/wCIwfc2pfN/6WXsoZNk2RWbJPrJkVxuy41xZQyua/3q20KZBKQdt9t9zW/B1/CsRwDTHD9MosuFh8FyK1OeD74dkuPFSwnhB3WSRy5bCst4k7/rVyd3VhXryqU1iL6HT2dOdGjGnUeWupYNRp0y16f5NdLeoplQ7PNfYI6hxDC1J2/aBXKn6FCyWm6amanZhc0oevMC0wo8ZawCoNyX3FPqBPiWWwfxrrhNYizYrsOWhLrL6FNOIPRSVAgj8ia4b4ZmmU/Ro9tjILdfLXKmY0867EmMNjhM6yvud4xIZ35FaNkkf6SFp5bmscycnc8Ebb1zs+mnx2yTNCMMyl9KBdbblIhxlbfaLD8Z1Tqfw3ZaNM1Y+3P2S71iqMtj664qxDLRdLEqYGJaNhuUmOr984h4AGuXHbi7UVx7dWsWKaQaLW6XKx2DO9Ds4W0UOXSe+QhUlSOqUJTyTvzCeNR23oSOz2NdQcdc7LWmov2W2tqe1Zu4cbfmIS4hLbziEAgncfYSn9laK+lbymz3jRrDodgyGBOT9ZVrktxZSXCAIyuAkJPTcnnXRvSPSTGdL9McV06jW6A+jHLRGtxeMdBLy22wFuHl1UriV+2tadt7s3xu0B2dsjwfGbZEbyGMEXay920hsrmMEqDW4H+MQVo/FQNXzF8ii3slX2A49ki9jvStFjS0mOuwNuOcB6yFLUXifv7zi3pgFbbGuLnYF+kFb7MMGXohrdarmcWjznVxJDbRVJs0kq2eZcaP2i0VgkgfaSri5Hem31j+lt7OWI4jJk6Uz5mbZE60oQoiYLsWM26R9lT7jqQQkE9Egk7bVTGC4pXaJesll+llgzbLJjxm05LZXZ7vGEoQ6plvvyo9B9nrvXQ/Kc5wl7G72yzmFlWtyBLSlKZzZKiW1hIA35nflSFfRiaQ5t2gO0hfe1XqYlybCtMiTKVLkNjgn3iSCOFIPIpaQtSiBySS2K6t5pjlrcxC9twrHDXIctspLSW4qCsrLStgkbczvt+dS91J5L0JONaD7k1/ZxQG4QARsdqNj4VnzfZ91zLaB6o8r3CQCDbHOXL8Kn9z9rlzHqlyrl/q1dfFFzo9860nGk8Z8D9DdN2+2bhZ0oSvaeVFZ/y8kM/9GN/2zn/+ywP6TtWm2QsdMOOiTDhLU4jdR3O++53/AG1m30eGnud4LeM2VmeH3eyJmRoSY6p0VTSXSlTm4ST1I3H51jaLNb7ZxWqdAQH4TzsZ0KXwkOoWUq336Hcb7feK6LUKFSlpVGE1hx6n1J2kvra/2wvbi1mpQk+TXR8kQ0cca3jRYNvAT04+u9WrKHoa2baiOmOhfpat0tgdO6Xz5VeREtbjzajb2TseauIcqs2VxIDH6PcjtpSsy1DcAdC0uqbJ5Ws2/wDsjmtqs+6K/hust1qft8a6SnJ73dH0dkI3Ow/XXvWSwXLKvcl9BSnmk7jnVgsUaBJuc79IRmXkiOxsHUkgfbXWUiFGAKBHjoYSN0cLPKs7bn98rP6f0jD2J/ZKSfrmCLjZWHkcbzJAI/taOLl+ym07PCm16PY8plXE2pEgpO2249Jd2pTmJNrY/fHkQwlDZJI2TsB7TTb6DQ37fpHjbMpstLcirkBBG2yHXVuJ/wCFYqmzUXmpPuLbSyTVOPebAPSlk7UGBZzlOZ2a44xi0+6RmbW6w65H4SEOF4KCTuRz250zXEP4Yo4k79RXa2V3KyrKtBZaOKu7aF5SdKb5MQT1P6ue7u9/k35qPU/q77u738Lfmp++JPiPzo3T4p/Ot72qu31ijSdmbbukxBfU/q57dPL3+SPNR6n9XPZp5e/yb81P1unxT+dBKduRT+dO1V18KHZm2+JiBO6R6sstqdd0+vSUIBUong5Adf8ACrNey/gd/wAizFjOosh+BaLMpTbjyeRmOKGxjjfqgcir7wAKcKSy3JZWwsjZaSk8/YRsf9xqhxnHbLiNki49YYjcWDDRwNNI6AdST4kkkknqSa8bnaKvdUZUpxXM9bfQKFvVjUi3yLikH2givoOlRxp/hCjjT/CFc9k3+T1UbgdagrT4io4kkgb70TyMnuioHSipJPKjy50qELP87nsemvavT47jrrxLSTCSlvZ1YCQCjfkABz502BAI29n41jLmmOnDzq3nsBx1xbiita1WxglSidySeHmSavTmo5yec4yk1gXv66Zv75rj8cHyUfXTN/fNcfjg+SmC9Vumnu9xv5Ux5aPVbpp7vcb+VMeWvTiwKcOXpsX366Zt75rj8cHyUfXTNvZrNcfjg+SmC9Vumnu9xv5Ux5aPVbpp7vcb+VMeWnEgOHL02L79c82981x+OD5KPrpm/vmuPxwfJTBeq3TT3e438qY8tHqt0093uN/KmPLTiQJ4cl/6L79dM3981x+KD5Kn66Zvtz1luPxQfJTBeqzTP3e458rY8tHqs0z93uOfK2PLUKpBFeHMXz655t75rh8UHyVqDtC6E4l2mLXEjakZ/JkXK1pcFsuSVQkvRuLqklKUlxvfnwE7b8xsaeH1W6ae73G/lTHlo9V2mg/yfY4P/i2PLR1YMnckufI4rzfoyM1TclIt+ruGPW/iPC884pt7h8Sgbjf+VTQdm7spYT2cJoyqw6guSsvcYVHXdf7ECWUK/WSwhwK7skcioHcjce010I9Vumns09xz5Wx5an1WaadPV9jnytjy1VSprxJaqSWHgXz66Zt7NZbiP5cHyUfXTNj11muP7FwfJTBeqzTMf5Pcc+VseWj1W6ae73G/lTHlqyqwKqnJI55a6dj7SvXm/SszyHNZUPKZaUpduUZcRKXyOinWkBIWrblxcifaa1bjH0ZulcC4CTlurs28RUn+54oYiE/cVlaz+Qrq+dLdM+W+nuOcv9VseWj1W6aE/wB7zG/lTHlqrnTbzzLJVFy5CyYd6Xp9jUDDsJ1Hds1ltbIYiQoggobaQP5G5J6lR3JPM1eTmmbH/LNcfjg+SmC9Vumnu9xv5Ux5aPVbpp7vcb+VMeWr8WBHDl6Yvv1zzf3z3H44Pko+ueb++a4/FB8lMF6rdNPd7jfypjy0eq3TT3e438qY8tOLBjhy9Ni+/XPNvbrNcj/Lg+SsGyjArFmd1dveSZ1NlTX+HvXESorQWQNgohCQCrbYE9TsKbv1W6ae73G/lTHlqfVbpn7vcc+VseWqzlSqLdksr6FoKpTlvQeH9RNmtLMTYbDDebXENjmEm4Rz/wAqx7L8HsGNtW+fbMhlz3XJhaU07LacSElpZKtkjcdOvSnpOlemfX1e438rY8taT7VmGYhjuHWSZYMWtFtkLvSG1OxITbKygx3iU8SQDtyHL7qytHo20b2k4Q558DG1a4uJ2VSM5cseIvWLYnaMpudwTdr5Jt4jxWODuJDbPeFSl778Q59PZWUt6W4q0kIbzi6JSDuB+kWP6qznso4vjWSXrKk5Dj9tugYjwe69Mioe7vdTu/DxA7b7DfbwpjhpZpnv/e9xv5Ux5ayNfpW89QqOcef0PDQ69xCwgoSwvqJ6rTTGHFNqezWa4GlJWlK5cUgkHfYgp2UOXQ8jWwE5jmiEhKNY56UgbAAwQAPADg5CmE9Vmmfu9xz5Wx5ag6W6aezT3HPlTHlrV0+DSWILH2RsZ8Wq8zefuL79dM3981x+KD5Kn66Zt75bj8cHyUwPqt0093uN/KmPLR6rdNPd7jfypjy16cWBXhy9MX366Zv75rj8cHyUfXTN/fNcPig+SmC9Vumnu9xv5Ux5aPVbpp7vcb+VMeWo4kCOHL02L79dM3981x+KD5KPrpm/vmuHxQfJTBeq3TT3e438qY8tHqt0093uN/KmPLU8SBPDl6Y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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = findForce(u,W) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findForce(0.25,345),86));\r\n%%\r\nassert(isequal(findForce(0.33,300),99));\r\n%%\r\nassert(isequal(findForce(0.75,225),169));\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:32:00.000Z","deleted_by":null,"deleted_at":null,"solvers_count":333,"test_suite_updated_at":"2022-10-11T18:32:00.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T18:14:46.000Z","updated_at":"2026-04-01T23:06:10.000Z","published_at":"2022-09-09T18:14:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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of motion 6","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the force required to bring and object of mass 'm' moving with velocity 'v' to rest, in t seconds.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = your_fcn_name(m,v,t)\r\n  y = x;\r\nend","test_suite":"%%\r\nm=1;\r\nv=1;\r\nt=1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(m,v,t),y_correct))\r\n\r\n%%\r\nm=4;\r\nv=7;\r\nt=2;\r\ny_correct = 14;\r\nassert(isequal(your_fcn_name(m,v,t),y_correct))\r\n\r\n%%\r\nm=6;\r\nv=19;\r\nt=2;\r\ny_correct = 57;\r\nassert(isequal(your_fcn_name(m,v,t),y_correct))\r\n","published":true,"deleted":false,"likes_count":42,"comments_count":22,"created_by":644918,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":3375,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-21T17:21:03.000Z","updated_at":"2026-04-04T03:55:28.000Z","published_at":"2020-12-21T17:21:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the force required to bring and object of mass 'm' moving with velocity 'v' to rest, in t seconds.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55575,"title":"Calculate the acceleration of a crate","description":"What is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts in the opposite direction of the motion? The mass of the crate is m kg. Round the answer to the nearest hundredths.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.9px; transform-origin: 407px 75.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts in the opposite direction of the motion? The mass of the crate is m kg. Round the answer to the nearest hundredths.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.4px; text-align: left; transform-origin: 384px 50.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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1tjeKro24plzVSrw5j6Y6xPkscQgPNKUl3kEkhChxPJPocj00zO52998X5uHb+zewd40+15E2kS7jrVy1OhrlriQmnW2GWYsZ0oQ446659ZR4pSn4nTHSsY4RuO55D0StaTkgckwu53RT1bXTuTdVzW9uPCZpdXrMydBaVdE5lTcdx1Sm0lCU8UEJIHEdhjtpM/QK60PTc6D/AJX1D9XUnhtb1hBaUr61Gk8my5k7ZU/Hb6w/p3mNeTm2/WF4KnI3WnHewkFIG2cAHPfz/dv5O/fy1VdQwuOok+66eDi6vp4xExrMDbdgJUTry6GesGmWpVptTutu4IzUVZdpUW5Z0l2cn1ZS0tPFZV5cVEA+vbXQPpqsK+ttdm7bs7ca5zXK3To/B10nkI6CSW4yXPN0NJIQFq7q4/DGmsO3HV6hTCZPWpHSZAyj+hrT+4/x3f8ARpY9O+4O5k67L32d3cq1LrtwWR82zGK9ToPsKKnT57S1sqdjclBl5CmnEKCTxI4keupYKaOAksz9SqVzv1Vdo2x1AaADnutA/JPto0aNWViI1RXlqurXCAnv8RpruRQodWp/UBn/AM6V/pLutvrU2pkUJlKgQQ9LBB9D7U7nW2/CRr4B4kaf2tUZ+d35r2+3EfCx+gVCkHsSe+o+1m1Iu4vVJc1tXDXrmZpdMs2lTo0SmV2TBbS+t9aVLIZUASU/HUg8j0I0ztw7e7swN6Krupt5Ns5bNXoEOiOxq4JfJBYcU5zT4HbuSB3Plrf4Iq46SWp1SiN7oiGOdsA7LevQ4yoLmwvDMAkat8eGCs8dN+3o/rzf3x/551H9preUfamFb9ObpNC3B3Mp8JkrLbDF7T0ISVKKlEDn6qUSfvk603Lqhx2a2mP46p+nWXR5m88ph9Nx3btlQ5jElxkx1UStSQtCfquJcQsApUDkdu2ult44nrHltJc2E/7uPzAWdVGgjaHTwHHoSkPetVvWzN77Stak7q7hPUuq23V58qNOuqZJSt9lxpLSxyXlOApXl8ddBE7eWyonPzsO58q3NH+t1BWtba1a4L/pG492bx2Kz8w0mbSm2Idv1dptaZS0HmtbnLBCkpAA88/HUwvtk3GhSgmHTAcnsYNVyO/97a+jeDhVCgY2slEkgaA5wdq72TnfrthefXcxOnJhbpb02x4JVfa7tlOFA1jII/r3N/a65+7sQ4lNg7MU+EymPGibvUplltHZLbaahIAA+8ANTZTuXcqlpSYlMwVAdoFV+P8Ae2oSbrT25TGzKw6yuSrd+lOLaQogpJnyCfdVhYHf7oA/EDTOJWvdcbdp5doc/wBJTrYQIZ8/L+qn0sRg6HwWw0sKUoefNPL3eyvwg6sccIacb4OrQFpyG1DkgghWBgfDvgeWMHVXcsoce8MrXn/tE8Uq4nsPgPLHmM/l1VbgQ2tzIUGx4iUtq80kYJ/8R9Ndesdebj76muaSB4h7J80pKQMEAfc98kZx5500tDUpXXKSQU/0JAePDiATWu5z658zp1j4So6mioqZcZCShJ5EJJxjAwM9sfAfHz01VD7dcKEJcK0J2iHH3uQx89Edj+IaUIUj9GjRpyEa8nF4PEDzIGrnHW2kKcdcShCQVKUo4AA8yTpu91rjg1nbO7qVZ930hFenUGfGpa0VFkES1x1pZIPIYPMpwdGhz9mhNc9reZUFa18oPt9SrpVb9w75Xs3UVPuNznKbFYNPhO+IoFtJ8Eq4owBlPLyPcnOn6plzXbWqdFq9I3huubBmsokRpLEuKpt5tQylaVCPggg+eueOzW5fS1a3SxXbJ3GpEFN4IRPYqMGTT/EnTJZKgwpp7ieAQeIzyTwKVHvnvNr5PXbLbRrpOsx/dqgWk/Wpntctk1IR1SRCcfUqPz5Hl9QggHySU68uq+GrpeZZW2+pmgMb8ZccteOeWgYwF07LhSUUbDOxjw4dNiEvPnK/cjO6l5YHc4kRv9n1zuqu8MjYq6upWXPnuyL5qNwwTS35pSp5xRkOOpkKHEBYQAheMcSSntjXWX7XHTGO4tawP8CL+nXPr5T7o/s2VTfpB7Hv28wKTDTHuWiU95lJWwk8UTWkIPvKSFcXB5lISofVVrU4f4PutCZGXaqdUMdpwCDsWnKqVl5pJtPw8YYR5jqkTt98mf1CdSFgNb/X7vK3T7oudn54pcarIfkyHkOe+24++FZY5jCkhCVcUkdh5BW9Lnyhu5ew0KvbCdQlqVu6q1Zs5cGJIVPbTLipaUUORnnHc+KlKgC2vJPEkZICdPt07fKYdMqNgKANxrz+xq5bZo8em1GjqhPOOyHI7QbC43BJS4lwIBAyME4OMZ1C3ZPbS4+ubqlvfd52dEsyyKjWX5lVnS32g62053ZisJWcOSChKeSsFKO6j5pSrupWylpEI73RUbc6jbVMNwz2We9jnjyUr9xfla6RS7Kq8u2toKrHrPsy26a7OqEdyO3JUMNqcQj3lJSfeIHnjHbOdR52n+T26hesmzT1Gbm70pp1SuQuTaP86NOy35LfI8XlcVJEZpSgeCUAkJAISBgFxeq/5P8A26tPYi5bt2x3TqNxV2htoqCaZIkwlCRHbV+7hIaSFFaWitYAPfjjBzpyOjL5RjpyonTjbVn7p3oza1wWTSmqS/FkRHnBNaYSUtPRy2hQWVICcpOFBWe2CDqOnZUtj/tI3V2+SWiSp/uXV2WB97nlRI2x373R6Z5O4HT7f8aqRL3oKXYFJrFMmISWFYKSzLSsFudFUlaXG1LSXUA+6oAgJf8A6Ab8vW/+paqv3bXX6y9BsF6LEMhtsBDYqDCuHuJT2J9T3z66j4KbJ64eonezfahQplOo9Ko70+kxippD82Q00hmDFKVditxDS3FJSSQBgHJBLp9F9eg7Eb6uXBvGw/Z9Bua35NBhVStpMKIZiX2pHhrcXjgS2kkE4ST2znVSWmlfXRyae6Ad8LaoXW0cN1Gojt9TeZ3x5BdQlFZcUp9xJdjnkptSckgZ4kAfvu4xrRQdxtvape0iw6ZdlLcuBlDq5lOS6PaGS2EKWFDHmEqTn4ZGkm91TdM/J1LHUPt+2lxSyVC44pKQB2I97v6/8Y0wFr7vbY07qEqG4dR3Ht2DalSqVcRErL1TZEJ1a2GAkNvFXhqJKFDsfuVfDWzBSmZrj4DK4Oeo7ItA6nCmN7Ow+G/D5x3XBwCniCtLh+q33Gew79sZH+ZrdnVNr6tN5Vs/0s2zZvDtjt4c7V6+p7pqVJBR1AbcZGAD9k0bCVFIzxJX9U9wT5jP39J3pwv6zb96id4L9tS56VPt+bFtq34M6PJR4EybEjvqkIjKJy8hBfbTzT2JJAJxqAMd4KxqA5lSo0aoCD5EHVdCVU7/AA1a4kLSUnVHnWmUKcdcShKAVKUo4AA8yT6aZxjrD6Y3pU+IvfOz2HKdLchOh+qNthTiMcigqI5oycBacpJBwTjTSd8JCQOaYvq3oXVFbG4sRzpk2Rj3HRqrCM+rS1VFtCBUVOrC0hlxxIQSgIWVJGFFZJ7g5XuxW0m5d37Z0qu71qqdnXfIU+J1HiGG80ylLqktKCuC/rNhKiORwTp5LF3s2h3Rnyabt3uPblyy4LSX5DNMntyFtNlXEKUEnsCe2T66T+724Fz2ndVl23b85qA3cTk8SpP2PSqy4nwGm1JSlmMtKkglZy4rKUgd8ZzrnKnhKx1chlnpWFx5nG6vx3SrjaGMkIA81YOnuKfK/q8P/gifsdR/61aNu3sXtRDvDZBqu3fXHqyxBfiLo7c4MxltuKU74TDQX9ZKE5zgcvwaeXbHea9Lu3UqNnT3adJhMP11K2W6TIhOwm4M5MaOtD7rim5ocyrn4ScNKCQopyAVlt/vXae4leqFs0mHVYdWo4d+c4VRjiNIhcVpS2VoKiSh4KC2nEcm1pCsKykgRN4I4fadQpGeyeLvXH/NPuuQn0oPlBzknZqrdvjYMr9TVw6oflCx5bN1oD/2DK/U083yqe9289sb125Q9mt3bgpFPi2+EVKDb9bWyWp/tDij46GlApWWlM45+nljvqFH0j+sk55b7bnYx6XDL/X1IOFeH2HaljH/ABCttqLs8BzS4j6rpd8nxcm9+9dXuipdR9hVOkothyBJontNIfpjDzyi4Vcm1gB5TZQhQ8wkkHGcET9QSPRRGNRC2J6z9nYXT/Z1O3L31pi75bt1huquTn3HX/bvC7+IvgQV8sZPfv551yXqPUX1hmfJI3z3GWS8577dek8D7x7pwrGPhjtjGNa1HSUVuYY6VrWNO+BsqctPXVDtUjHE+YK+iYrx24q/HqN/WBQ6LCteyKjFpUJmZI3OtMOyGo6EOr5VFGcqABOT55OubHRF1Lb6U3qUtOdvVvhdQslAmpqxr1aecglJiuhoLDhIz4xawfMEZ7DOn8ure+/dx997ptGr3qus2pR9y7WeocdIaVHjoTXWW0KbWhIJBbURkqIOQdWHSQuc0HBOdvJPZaavsnyuaWhoycgjIyB+q6Gy2VSVuFstFbDi208fdSEpJxnHkMA+Xw14tAw3nlFAWSUhCAkJAAHchXf0I7eY7/HXpMSEMeC2+2Spaklv98Cv3ST54z6/k17Dg60G1JaX4qOOQvCUgJORy9R2A88+upVmLAdUPD4O5SkKCQUtrAcIX2yc+XIAH8P49NZRAv6c7hLoUn7U2EoAHuYrZyM+vfTuocbVx5khAWfeCiDkDHH8B+Gmko6SnrmV39xW0uUjhxI/m2c5+Pf8Xw0oQpHaNGjTkLUXNCfqVu1KnRgkvSobzDYUcAqW2pIBPoMnUMWOl3dhLLbf2L0YlCEpUBUWTg4H9zqalZTU10qWmjORm55YWIi5KSplL3E8CsJ7lPLGQO+M65i29Znyshfrpt64Xo6TXJypQdnQG0uSS5762g8gq8FXulvB48MAAd9XKC5zUDi2ItGfm/RZlwoYqvHaAnHgnCqnQbVK7Xhc1X2jtaZVAoKVJcltFS1DyKx9VZ7DuoHW7rPTzuDbtPcq1wU226bCZ4hyTMrEZhpGThIK14SMnAGTpw+jihdalIrtzr6qqz7bAdhxRRgJUN7i8Fr8btHSCPd4fW/F66eHfOy7ive16XSbZDaZbNx0ecp5bTTqWGWJaHHHS24QlfFIJ4nucdsnGrjOIqlhJYG/QKt+xKeRo1F31KiZC2ZuOpVGLSKc/ZsqdOjiVGjMXDDcdfZIJDiEJJUpOATyAIwD31mjp7vx10Rfm22lrdkLhBsVeKSp4JyprHqsJzlHnjORjTv1TZvcRW7Dd3ORI1Uo0as21JeaQzGjPSvZYzjS5jawrk0GXHEqUxjC0BaUn3sHa0XZWvQN+zuxRqXHpVKqlSmfZFTZXguCa81HLcCrRuBPhPcVuMOfVUtso5DKO837yVh6N9kg4fpc8z7qHFa+SsjVqrqrBsX2HxVc1xYVxIajqOe+ElJKR95JA06VvdHV/wBp0aNb9uWHRYNPiJKWWG6g0QM9ySSCVEnuSSSdTw4p+GjA+GoIrzPC4uY1oJ8lYltEc7QyR7iB5qEI6Xd2wQRatJGDkYqDP6umhuf5Ldu6awutv2KmnvPLLjzVPrzbLDiick8OJ45/ucDXTzA+GjA+GlmvdRUACRrTjySQ2eKnOYnOH1UCrW6Mb5smjM2/bFiUaBAYJUltNSaUVKOMrUoglSj6qOtnI6Vt0ZzCo0y0KLIYcwFtvTWHEKx5ZCkkHH8upxcR8NHEfDUg4gqgNIDceijdYqdx1Fzs+qgWejW8cZO2Foj8UP8AZ6bijbKVis7gp2wZtSjPTKbV6y4qnuBn2Zri00cpynh28QeQ9TrpysJ4kEDGNRB25x9Muuf+o13/AEeLqxT3meVshcG7NzyVae0RROYA525A5pGjo0vPzO19on+J/s9Kzb/pr3Itq8bbqki16RDgUqpxpK/BlsgNNIcClcEJT+HsPXUxU4PljtquB8NU33yplYWENwfJW2WWCNwcC7bzVjI93XpqgAHkNV1jrY5Lxkx2pLa2XkIW24koUhaQpKgexBB8wfhpimuhjpPblTpbmx1syF1CW5MWHoxWltS8ZS2M4Q3nJCB2GTjA7afrRgfDTS3JyEhAPMJuttunzZfaCozKvtltvRLal1BhMaU9T2C2p5pKuQSrucgK76WUu3aPOq1PrkuntOVClJeRDkEHmwHkpS4E9/uglIP4NbPA+GjA0Y6pcAbBJyLt/Z8GfEqcKgxGJUF+dKjvISQpt2YrlKUDn/rFd1DyyAexA160my7XoMlidSqJFYlx4gpzcnhyfEXxPEDJdVlZQFkqCSSAScYydb7A+GrXThIOPuhpyBsos9J21G2tyWXdV23JYtDrFZqt9XJ7ZPqMBqU86G6k822CpwEgBKQAB2/Lp8vtJ7Of2KbQ/MkX9TUW9q+pezOmyPdG1G8NAuqjVeHdtbqDDrNGdlR5sWXMckNOtON9iCleP/76Bd/8op04Ht7Vdn+Tcn9GoNcQ2JC1DTV7zqaHEeWcJ6hsps5/YptD8yRv1NUVsrs8MEbVWgf/AKOL+pplD8oz02JPEz7qBHmDbsn9Gqn5RTpwKRiVdpB8v525P6NJ2kJ6hN+EuHyu/FMb8pntlt9Z1v2NcVpWZR6LUJlTkwZDtPiIj+KwI5cCVhAAVhSQQSMjv376it03gJuFKG+LYTctn4yMgfzwM+mn066OpaxeoOlWnbm29KuGT80T350iRKpjkdPvsltLaEEFSldyScYAAHcnsyuxNPqdr1e4p9epkyCmz6pbVYrrbrKg7Ahxa/HVIddRjkA2hXNfb3Ugk9gdYpw65BzPu/gvUY9UfA74ak/xMnY/eA1DHnhdfHAtRW66twLaWo+8OJcQrA7nzJB8viBq+GnPuqTkLSfdSU5GTkgflI/472xpFLrEFqr0d+PPgykl1qXEeTIadbWSUqbWklJHkcjIxqjTSVxUNtMreATx5pazkDtklXf73b0/FroMLxxXyOAWr3sqQFeI5jBcSodxk+YHYdvy9tNDQkJR1xe4lICtpefbv51r1PqcY08IUVuutvMO+CO5UPqlQ7ZSD6aZixalFu7rSrtat1bM2FbO3TFCq8mKoOMRKi9U1SERVLHul3wRzUgHKQU8sZGgIUl9GqJzgZ89GnIVpbyMZ/zaolpKTkfya9NGm6WnohWhAHkdVx9/VdGlwhWlOfXVQMDGq6NKhGjRo0IRo0aNCFQjProwfjqujQheMgEgAHGc6iTYG1W9VP6k5FcqojNtx58ypVKuewYhT4UpKUoajIK8pfIaQFAk+HxWo8gtAMu8A+mreIz9UZ1LHO6EODeowoZYWylpPQ5Q2D3yc6v1antq7UI5KZGjRo0qEaNGjQhGjRo0IRq1aeYxnV2jQhc8flH+kbqZ6gd0bYuTZdbT1EptA9hksuV4QfDle0OrUsNqUAcoU2OQyTxwfIaiOPkyOvlOecKIQfPN3t/r67ikA+Y0YHwGkwE4PcNgU2fTrY9yWFsXYll36tqTcVEocSFU3Q+ZHKQhAC/3Q9148s+uNckupXos6xU733BVIMWbVWr0uOrTaIinVpUh12KHi4CpsEFpKG3GweWAOwGu3HHHYDtpv772sZvq9LRuOdUpLES2vb1LYiTJER59UhttCcOsOIUEjgeSVEpUCAR200+QR2jxyK5I9NXRx1aULqPtR64C9TWrVrEOs1EzK2toPU9qTxedY5H93QCCg8fVSc+6oE9DtlOmu79vOpjdTdyv1ShSqHegkewxmHFqkJS9JS9h5CkhKQEgpPc5J+GnGtzb6/fspvG4b5lWvVna9FegQHmmpGYsEKV7PEU05lAbHJS3VA8nHFE9khCEZ22e0jlgMT4rlb9uiyqZCp0ZktHnBbaQsLZQ8pRccZ5uFTaVkqbB45KQkAcxrsFTxVk0bXxg7PGD6ZB/RJ2b0s9J0+W9MlbSWQl19ZccDLLbKOROSQhCgkd/gB314fRO6RiOJ2ns7Hwz2/8A3pq2/kutkEpCRel9YAwMz2Ccfh8HVx+S72Q/hnfP8eY/Zai1zfKPdaAprYQCZ3Z/0f8AqcSqdNHRnREx11bbexobcuS1BYW+4EpcfdOG2k5X9ZRBAHqe2nms60LSsKhs21ZFsUyg0mPktw6dFRHZQT5q4oAHI+pPc+uoh1r5LTaiUzHbo+4F2xVCWyt9UpxiQFRwcuIQngni4odkrOQk98Hy1MK2Leh2rb9PtmnOSnIdMitRGFSpK5DxQhPFJW4slS1YHdSiSdOY6R2dYwqdZFSRBvw0hd45bjH4lbgdxnRoT9UY0amVJf/Z\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function a = findAccel(F1,F2,FR,m) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findAccel(85,52.5,45.5,175), 0.53));\r\n%%\r\nassert(isequal(findAccel(65.5,22.7,33.3,175), 0.31));\r\n%%\r\nassert(isequal(findAccel(125,77,55,200), 0.74));","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:30:06.000Z","deleted_by":null,"deleted_at":null,"solvers_count":363,"test_suite_updated_at":"2022-10-11T18:30:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T17:51:51.000Z","updated_at":"2026-03-30T16:16:56.000Z","published_at":"2022-09-09T17:51:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts in the opposite direction of the motion? The mass of the crate is m kg. Round the answer to the nearest hundredths.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"95\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"280\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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BtqroSpKZlDlyae4AfMHwXUgj7xBH3tZtv4St1CyHu6nxfdcdne4wrFTc553POcB3MdE59r3na97UtFatOuRKpDUooLsdwK8NY80LT9ZCx6pUAoeo0l7j2yduPdaibgO1qbFiUejyYIYhT34rjzzklh1PieGQlxrDKgUKyCSO2tdI6ebPN0IvSDcd4U2tBvwlzIledQt9H714HIfA9PFCsemNbCXbNSpUlhhW+NfhrkHiwzM+bllwk+nNgKV+I66cjKzisXae0twaPWLhubc1FBkVututkzaXPkOoEZpTgYioZdZR4LTaF57LWpbjjq1EZACb2r2YrNkbmVK/oqI1IpFzRpcmqW+FIeEetKkJBnMuJAAEiOhHjIGAXG0K7kqOl1tjeKro24plzVSrw5j6Y6xPkscQgPNKUl3kEkhChxPJPocj00zO52998X5uHb+zewd40+15E2kS7jrVy1OhrlriQmnW2GWYsZ0oQ446659ZR4pSn4nTHSsY4RuO55D0StaTkgckwu53RT1bXTuTdVzW9uPCZpdXrMydBaVdE5lTcdx1Sm0lCU8UEJIHEdhjtpM/QK60PTc6D/AJX1D9XUnhtb1hBaUr61Gk8my5k7ZU/Hb6w/p3mNeTm2/WF4KnI3WnHewkFIG2cAHPfz/dv5O/fy1VdQwuOok+66eDi6vp4xExrMDbdgJUTry6GesGmWpVptTutu4IzUVZdpUW5Z0l2cn1ZS0tPFZV5cVEA+vbXQPpqsK+ttdm7bs7ca5zXK3To/B10nkI6CSW4yXPN0NJIQFq7q4/DGmsO3HV6hTCZPWpHSZAyj+hrT+4/x3f8ARpY9O+4O5k67L32d3cq1LrtwWR82zGK9ToPsKKnT57S1sqdjclBl5CmnEKCTxI4keupYKaOAksz9SqVzv1Vdo2x1AaADnutA/JPto0aNWViI1RXlqurXCAnv8RpruRQodWp/UBn/AM6V/pLutvrU2pkUJlKgQQ9LBB9D7U7nW2/CRr4B4kaf2tUZ+d35r2+3EfCx+gVCkHsSe+o+1m1Iu4vVJc1tXDXrmZpdMs2lTo0SmV2TBbS+t9aVLIZUASU/HUg8j0I0ztw7e7swN6Krupt5Ns5bNXoEOiOxq4JfJBYcU5zT4HbuSB3Plrf4Iq46SWp1SiN7oiGOdsA7LevQ4yoLmwvDMAkat8eGCs8dN+3o/rzf3x/551H9preUfamFb9ObpNC3B3Mp8JkrLbDF7T0ISVKKlEDn6qUSfvk603Lqhx2a2mP46p+nWXR5m88ph9Nx3btlQ5jElxkx1UStSQtCfquJcQsApUDkdu2ult44nrHltJc2E/7uPzAWdVGgjaHTwHHoSkPetVvWzN77Stak7q7hPUuq23V58qNOuqZJSt9lxpLSxyXlOApXl8ddBE7eWyonPzsO58q3NH+t1BWtba1a4L/pG492bx2Kz8w0mbSm2Idv1dptaZS0HmtbnLBCkpAA88/HUwvtk3GhSgmHTAcnsYNVyO/97a+jeDhVCgY2slEkgaA5wdq72TnfrthefXcxOnJhbpb02x4JVfa7tlOFA1jII/r3N/a65+7sQ4lNg7MU+EymPGibvUplltHZLbaahIAA+8ANTZTuXcqlpSYlMwVAdoFV+P8Ae2oSbrT25TGzKw6yuSrd+lOLaQogpJnyCfdVhYHf7oA/EDTOJWvdcbdp5doc/wBJTrYQIZ8/L+qn0sRg6HwWw0sKUoefNPL3eyvwg6sccIacb4OrQFpyG1DkgghWBgfDvgeWMHVXcsoce8MrXn/tE8Uq4nsPgPLHmM/l1VbgQ2tzIUGx4iUtq80kYJ/8R9Ndesdebj76muaSB4h7J80pKQMEAfc98kZx5500tDUpXXKSQU/0JAePDiATWu5z658zp1j4So6mioqZcZCShJ5EJJxjAwM9sfAfHz01VD7dcKEJcK0J2iHH3uQx89Edj+IaUIUj9GjRpyEa8nF4PEDzIGrnHW2kKcdcShCQVKUo4AA8yTpu91rjg1nbO7qVZ930hFenUGfGpa0VFkES1x1pZIPIYPMpwdGhz9mhNc9reZUFa18oPt9SrpVb9w75Xs3UVPuNznKbFYNPhO+IoFtJ8Eq4owBlPLyPcnOn6plzXbWqdFq9I3huubBmsokRpLEuKpt5tQylaVCPggg+eueOzW5fS1a3SxXbJ3GpEFN4IRPYqMGTT/EnTJZKgwpp7ieAQeIzyTwKVHvnvNr5PXbLbRrpOsx/dqgWk/Wpntctk1IR1SRCcfUqPz5Hl9QggHySU68uq+GrpeZZW2+pmgMb8ZccteOeWgYwF07LhSUUbDOxjw4dNiEvPnK/cjO6l5YHc4kRv9n1zuqu8MjYq6upWXPnuyL5qNwwTS35pSp5xRkOOpkKHEBYQAheMcSSntjXWX7XHTGO4tawP8CL+nXPr5T7o/s2VTfpB7Hv28wKTDTHuWiU95lJWwk8UTWkIPvKSFcXB5lISofVVrU4f4PutCZGXaqdUMdpwCDsWnKqVl5pJtPw8YYR5jqkTt98mf1CdSFgNb/X7vK3T7oudn54pcarIfkyHkOe+24++FZY5jCkhCVcUkdh5BW9Lnyhu5ew0KvbCdQlqVu6q1Zs5cGJIVPbTLipaUUORnnHc+KlKgC2vJPEkZICdPt07fKYdMqNgKANxrz+xq5bZo8em1GjqhPOOyHI7QbC43BJS4lwIBAyME4OMZ1C3ZPbS4+ubqlvfd52dEsyyKjWX5lVnS32g62053ZisJWcOSChKeSsFKO6j5pSrupWylpEI73RUbc6jbVMNwz2We9jnjyUr9xfla6RS7Kq8u2toKrHrPsy26a7OqEdyO3JUMNqcQj3lJSfeIHnjHbOdR52n+T26hesmzT1Gbm70pp1SuQuTaP86NOy35LfI8XlcVJEZpSgeCUAkJAISBgFxeq/5P8A26tPYi5bt2x3TqNxV2htoqCaZIkwlCRHbV+7hIaSFFaWitYAPfjjBzpyOjL5RjpyonTjbVn7p3oza1wWTSmqS/FkRHnBNaYSUtPRy2hQWVICcpOFBWe2CDqOnZUtj/tI3V2+SWiSp/uXV2WB97nlRI2x373R6Z5O4HT7f8aqRL3oKXYFJrFMmISWFYKSzLSsFudFUlaXG1LSXUA+6oAgJf8A6Ab8vW/+paqv3bXX6y9BsF6LEMhtsBDYqDCuHuJT2J9T3z66j4KbJ64eonezfahQplOo9Ko70+kxippD82Q00hmDFKVditxDS3FJSSQBgHJBLp9F9eg7Eb6uXBvGw/Z9Bua35NBhVStpMKIZiX2pHhrcXjgS2kkE4ST2znVSWmlfXRyae6Ad8LaoXW0cN1Gojt9TeZ3x5BdQlFZcUp9xJdjnkptSckgZ4kAfvu4xrRQdxtvape0iw6ZdlLcuBlDq5lOS6PaGS2EKWFDHmEqTn4ZGkm91TdM/J1LHUPt+2lxSyVC44pKQB2I97v6/8Y0wFr7vbY07qEqG4dR3Ht2DalSqVcRErL1TZEJ1a2GAkNvFXhqJKFDsfuVfDWzBSmZrj4DK4Oeo7ItA6nCmN7Ow+G/D5x3XBwCniCtLh+q33Gew79sZH+ZrdnVNr6tN5Vs/0s2zZvDtjt4c7V6+p7pqVJBR1AbcZGAD9k0bCVFIzxJX9U9wT5jP39J3pwv6zb96id4L9tS56VPt+bFtq34M6PJR4EybEjvqkIjKJy8hBfbTzT2JJAJxqAMd4KxqA5lSo0aoCD5EHVdCVU7/AA1a4kLSUnVHnWmUKcdcShKAVKUo4AA8yT6aZxjrD6Y3pU+IvfOz2HKdLchOh+qNthTiMcigqI5oycBacpJBwTjTSd8JCQOaYvq3oXVFbG4sRzpk2Rj3HRqrCM+rS1VFtCBUVOrC0hlxxIQSgIWVJGFFZJ7g5XuxW0m5d37Z0qu71qqdnXfIU+J1HiGG80ylLqktKCuC/rNhKiORwTp5LF3s2h3Rnyabt3uPblyy4LSX5DNMntyFtNlXEKUEnsCe2T66T+724Fz2ndVl23b85qA3cTk8SpP2PSqy4nwGm1JSlmMtKkglZy4rKUgd8ZzrnKnhKx1chlnpWFx5nG6vx3SrjaGMkIA81YOnuKfK/q8P/gifsdR/61aNu3sXtRDvDZBqu3fXHqyxBfiLo7c4MxltuKU74TDQX9ZKE5zgcvwaeXbHea9Lu3UqNnT3adJhMP11K2W6TIhOwm4M5MaOtD7rim5ocyrn4ScNKCQopyAVlt/vXae4leqFs0mHVYdWo4d+c4VRjiNIhcVpS2VoKiSh4KC2nEcm1pCsKykgRN4I4fadQpGeyeLvXH/NPuuQn0oPlBzknZqrdvjYMr9TVw6oflCx5bN1oD/2DK/U083yqe9289sb125Q9mt3bgpFPi2+EVKDb9bWyWp/tDij46GlApWWlM45+nljvqFH0j+sk55b7bnYx6XDL/X1IOFeH2HaljH/ABCttqLs8BzS4j6rpd8nxcm9+9dXuipdR9hVOkothyBJontNIfpjDzyi4Vcm1gB5TZQhQ8wkkHGcET9QSPRRGNRC2J6z9nYXT/Z1O3L31pi75bt1huquTn3HX/bvC7+IvgQV8sZPfv551yXqPUX1hmfJI3z3GWS8577dek8D7x7pwrGPhjtjGNa1HSUVuYY6VrWNO+BsqctPXVDtUjHE+YK+iYrx24q/HqN/WBQ6LCteyKjFpUJmZI3OtMOyGo6EOr5VFGcqABOT55OubHRF1Lb6U3qUtOdvVvhdQslAmpqxr1aecglJiuhoLDhIz4xawfMEZ7DOn8ure+/dx997ptGr3qus2pR9y7WeocdIaVHjoTXWW0KbWhIJBbURkqIOQdWHSQuc0HBOdvJPZaavsnyuaWhoycgjIyB+q6Gy2VSVuFstFbDi208fdSEpJxnHkMA+Xw14tAw3nlFAWSUhCAkJAAHchXf0I7eY7/HXpMSEMeC2+2Spaklv98Cv3ST54z6/k17Dg60G1JaX4qOOQvCUgJORy9R2A88+upVmLAdUPD4O5SkKCQUtrAcIX2yc+XIAH8P49NZRAv6c7hLoUn7U2EoAHuYrZyM+vfTuocbVx5khAWfeCiDkDHH8B+Gmko6SnrmV39xW0uUjhxI/m2c5+Pf8Xw0oQpHaNGjTkLUXNCfqVu1KnRgkvSobzDYUcAqW2pIBPoMnUMWOl3dhLLbf2L0YlCEpUBUWTg4H9zqalZTU10qWmjORm55YWIi5KSplL3E8CsJ7lPLGQO+M65i29Znyshfrpt64Xo6TXJypQdnQG0uSS5762g8gq8FXulvB48MAAd9XKC5zUDi2ItGfm/RZlwoYqvHaAnHgnCqnQbVK7Xhc1X2jtaZVAoKVJcltFS1DyKx9VZ7DuoHW7rPTzuDbtPcq1wU226bCZ4hyTMrEZhpGThIK14SMnAGTpw+jihdalIrtzr6qqz7bAdhxRRgJUN7i8Fr8btHSCPd4fW/F66eHfOy7ive16XSbZDaZbNx0ecp5bTTqWGWJaHHHS24QlfFIJ4nucdsnGrjOIqlhJYG/QKt+xKeRo1F31KiZC2ZuOpVGLSKc/ZsqdOjiVGjMXDDcdfZIJDiEJJUpOATyAIwD31mjp7vx10Rfm22lrdkLhBsVeKSp4JyprHqsJzlHnjORjTv1TZvcRW7Dd3ORI1Uo0as21JeaQzGjPSvZYzjS5jawrk0GXHEqUxjC0BaUn3sHa0XZWvQN+zuxRqXHpVKqlSmfZFTZXguCa81HLcCrRuBPhPcVuMOfVUtso5DKO837yVh6N9kg4fpc8z7qHFa+SsjVqrqrBsX2HxVc1xYVxIajqOe+ElJKR95JA06VvdHV/wBp0aNb9uWHRYNPiJKWWG6g0QM9ySSCVEnuSSSdTw4p+GjA+GoIrzPC4uY1oJ8lYltEc7QyR7iB5qEI6Xd2wQRatJGDkYqDP6umhuf5Ldu6awutv2KmnvPLLjzVPrzbLDiick8OJ45/ucDXTzA+GjA+GlmvdRUACRrTjySQ2eKnOYnOH1UCrW6Mb5smjM2/bFiUaBAYJUltNSaUVKOMrUoglSj6qOtnI6Vt0ZzCo0y0KLIYcwFtvTWHEKx5ZCkkHH8upxcR8NHEfDUg4gqgNIDceijdYqdx1Fzs+qgWejW8cZO2Foj8UP8AZ6bijbKVis7gp2wZtSjPTKbV6y4qnuBn2Zri00cpynh28QeQ9TrpysJ4kEDGNRB25x9Muuf+o13/AEeLqxT3meVshcG7NzyVae0RROYA525A5pGjo0vPzO19on+J/s9Kzb/pr3Itq8bbqki16RDgUqpxpK/BlsgNNIcClcEJT+HsPXUxU4PljtquB8NU33yplYWENwfJW2WWCNwcC7bzVjI93XpqgAHkNV1jrY5Lxkx2pLa2XkIW24koUhaQpKgexBB8wfhpimuhjpPblTpbmx1syF1CW5MWHoxWltS8ZS2M4Q3nJCB2GTjA7afrRgfDTS3JyEhAPMJuttunzZfaCozKvtltvRLal1BhMaU9T2C2p5pKuQSrucgK76WUu3aPOq1PrkuntOVClJeRDkEHmwHkpS4E9/uglIP4NbPA+GjA0Y6pcAbBJyLt/Z8GfEqcKgxGJUF+dKjvISQpt2YrlKUDn/rFd1DyyAexA160my7XoMlidSqJFYlx4gpzcnhyfEXxPEDJdVlZQFkqCSSAScYydb7A+GrXThIOPuhpyBsos9J21G2tyWXdV23JYtDrFZqt9XJ7ZPqMBqU86G6k822CpwEgBKQAB2/Lp8vtJ7Of2KbQ/MkX9TUW9q+pezOmyPdG1G8NAuqjVeHdtbqDDrNGdlR5sWXMckNOtON9iCleP/76Bd/8op04Ht7Vdn+Tcn9GoNcQ2JC1DTV7zqaHEeWcJ6hsps5/YptD8yRv1NUVsrs8MEbVWgf/AKOL+pplD8oz02JPEz7qBHmDbsn9Gqn5RTpwKRiVdpB8v525P6NJ2kJ6hN+EuHyu/FMb8pntlt9Z1v2NcVpWZR6LUJlTkwZDtPiIj+KwI5cCVhAAVhSQQSMjv376it03gJuFKG+LYTctn4yMgfzwM+mn066OpaxeoOlWnbm29KuGT80T350iRKpjkdPvsltLaEEFSldyScYAAHcnsyuxNPqdr1e4p9epkyCmz6pbVYrrbrKg7Ahxa/HVIddRjkA2hXNfb3Ugk9gdYpw65BzPu/gvUY9UfA74ak/xMnY/eA1DHnhdfHAtRW66twLaWo+8OJcQrA7nzJB8viBq+GnPuqTkLSfdSU5GTkgflI/472xpFLrEFqr0d+PPgykl1qXEeTIadbWSUqbWklJHkcjIxqjTSVxUNtMreATx5pazkDtklXf73b0/FroMLxxXyOAWr3sqQFeI5jBcSodxk+YHYdvy9tNDQkJR1xe4lICtpefbv51r1PqcY08IUVuutvMO+CO5UPqlQ7ZSD6aZixalFu7rSrtat1bM2FbO3TFCq8mKoOMRKi9U1SERVLHul3wRzUgHKQU8sZGgIUl9GqJzgZ89GnIVpbyMZ/zaolpKTkfya9NGm6WnohWhAHkdVx9/VdGlwhWlOfXVQMDGq6NKhGjRo0IRo0aNCFQjProwfjqujQheMgEgAHGc6iTYG1W9VP6k5FcqojNtx58ypVKuewYhT4UpKUoajIK8pfIaQFAk+HxWo8gtAMu8A+mreIz9UZ1LHO6EODeowoZYWylpPQ5Q2D3yc6v1antq7UI5KZGjRo0qEaNGjQhGjRo0IRq1aeYxnV2jQhc8flH+kbqZ6gd0bYuTZdbT1EptA9hksuV4QfDle0OrUsNqUAcoU2OQyTxwfIaiOPkyOvlOecKIQfPN3t/r67ikA+Y0YHwGkwE4PcNgU2fTrY9yWFsXYll36tqTcVEocSFU3Q+ZHKQhAC/3Q9148s+uNckupXos6xU733BVIMWbVWr0uOrTaIinVpUh12KHi4CpsEFpKG3GweWAOwGu3HHHYDtpv772sZvq9LRuOdUpLES2vb1LYiTJER59UhttCcOsOIUEjgeSVEpUCAR200+QR2jxyK5I9NXRx1aULqPtR64C9TWrVrEOs1EzK2toPU9qTxedY5H93QCCg8fVSc+6oE9DtlOmu79vOpjdTdyv1ShSqHegkewxmHFqkJS9JS9h5CkhKQEgpPc5J+GnGtzb6/fspvG4b5lWvVna9FegQHmmpGYsEKV7PEU05lAbHJS3VA8nHFE9khCEZ22e0jlgMT4rlb9uiyqZCp0ZktHnBbaQsLZQ8pRccZ5uFTaVkqbB45KQkAcxrsFTxVk0bXxg7PGD6ZB/RJ2b0s9J0+W9MlbSWQl19ZccDLLbKOROSQhCgkd/gB314fRO6RiOJ2ns7Hwz2/8A3pq2/kutkEpCRel9YAwMz2Ccfh8HVx+S72Q/hnfP8eY/Zai1zfKPdaAprYQCZ3Z/0f8AqcSqdNHRnREx11bbexobcuS1BYW+4EpcfdOG2k5X9ZRBAHqe2nms60LSsKhs21ZFsUyg0mPktw6dFRHZQT5q4oAHI+pPc+uoh1r5LTaiUzHbo+4F2xVCWyt9UpxiQFRwcuIQngni4odkrOQk98Hy1MK2Leh2rb9PtmnOSnIdMitRGFSpK5DxQhPFJW4slS1YHdSiSdOY6R2dYwqdZFSRBvw0hd45bjH4lbgdxnRoT9UY0amVJf/Z\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55690,"title":"Basic Mathematics 6","description":"A High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground.  Their robot’s arm reaches over a storage bin that is L inches long.  How long must the arm be to reach the object? Round to 1 decimal place.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheir robot’s arm reaches over a storage bin that is L inches long.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eHow long must the arm be to reach the object? Round to 1 decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Reach = armReach(H,L) % Do not edit this line.\r\n  % insert your code here\r\n  Reach = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(armReach(18,28),33.3));\r\n%%\r\nassert(isequal(armReach(9,14),16.6));\r\n\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-13T17:28:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":325,"test_suite_updated_at":"2022-09-13T16:38:03.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-13T16:34:47.000Z","updated_at":"2026-03-30T16:38:39.000Z","published_at":"2022-09-13T16:38:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eTheir robot’s arm reaches over a storage bin that is L inches long.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eHow long must the arm be to reach the object? Round to 1 decimal place.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55750,"title":"Resistance of a robot","description":"What is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? Round to 1 decimal place.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? Round to 1 decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function V = findResistance(P,V) % Do not edit this line.\r\n  % insert your code here\r\n  R = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findResistance(240,120),60));\r\n%%\r\nassert(isequal(findResistance(300,15),0.8));\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":316,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:28:59.000Z","updated_at":"2026-03-30T16:45:26.000Z","published_at":"2022-09-15T12:28:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? Round to 1 decimal place.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55685,"title":"Basic Mathematics 5","description":"The total area of all four equal sections of the game field is N ft².  Each section has a rectangle of dimensions X ft x Y ft reserved for a hanging scoring rack.  There is also a scoring bin that takes up an area of 1ft x 1ft.  How much driving area does the robot have in each section? Round to 2 decimal places.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 173px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 86.5px; transform-origin: 407px 86.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe total area of all four equal sections of the game field is N ft².\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eEach section has a rectangle of dimensions X ft x Y ft reserved for a hanging scoring rack.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThere is also a scoring bin that takes up an area of 1ft x 1ft.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eHow much driving area does the robot have in each section? Round to 2 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 101px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.5px; text-align: left; transform-origin: 384px 50.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = findArea(N,X,Y) % Do not edit this line.\r\n  % insert your code here\r\n  N = ?;\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findArea(576, 2, 2),139));\r\n%%\r\nassert(isequal(findArea(333, 4, 4),66.25));\r\n%%\r\nassert(isequal(findArea(128.5, 4, 4),15.13));","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":310,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-13T16:30:44.000Z","updated_at":"2026-03-30T16:37:22.000Z","published_at":"2022-09-13T16:30:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe total area of all four equal sections of the game field is N ft².\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eEach section has a rectangle of dimensions X ft x Y ft reserved for a hanging scoring rack.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThere is also a scoring bin that takes up an area of 1ft x 1ft.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eHow much driving area does the robot have in each section? Round to 2 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"95\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"145\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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How far does it travel before stopping? Round to the nearest tenth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 147px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 73.5px; transform-origin: 407px 73.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAn experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? Round to the nearest tenth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 96px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 48px; text-align: left; transform-origin: 384px 48px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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T5oi7yZvAar9s9N6BB+//AEqi8hJI64wVxBa0XdphXqJS7al6atuoyUxMPGcaWtQU242lITtUMDCzGdlHCSSYjJxX2ndVw3TbU3QLaqlTZYps406uUllOhtanmSkKx1EhJI+6MvTGQok2xsfs81Zao+LDlXOg9rkvJjiz1Ux/qdu+yPfqw+dnqp9Ct32R79WMeeLbUfs0+uT3c5Dxbaj/AGfXJ7tci98DRvD6ql8ZVu/0WQ/nZ6qfQ7d9ke/Vh87PVX6Hbvsj36sY88W2o/2e3H7uc/KHi21H+z24/dzn5RHA0bo31U8ZVvEsh/Oz1V+h277I9+rD52eqv0O3fZHv1Yx54ttR/s9uP3c5+UPFtqP9ntx+7nPyhwNG6N9U4yreJZD+dnqr9Dt32R79WHzs9Vfodu+yPfqxjzxbaj/Z7cfu5z8oeLbUf7Pbj93OflDgaN0b6pxlW8SyH87PVX6Hbvsj36sPnZ6q/Q7d9ke/VjHni21H+z24/dzn5Q8W2o/2fXH7uc/KHA0bo31TjKt4lkP52eqv0O3fZHv1YfOz1V+h277I9+rGPPFtqP8AZ7cfu5z8oeLbUf7Prj93OflDgaN0b6pxlW8SyH87PVX6Hbvsj36sPnZ6q/Q7d9ke/VjHni21H+z24/dzn5Q8W2o/2e3H7uc/KHA0bo31TjKt4lkP52eqv0O3fZHv1YfOz1V+h277I9+rGPPFtqP9ntx+7nPyh4ttR/s9uP3c5+UOBo3RvqnGVbxLIfzs9Vfodu+yPfqw+dpqr9Dtz2N79WMeeLbUf7Prj93OflDxbaj/AGe3H7uc/KHA0bo31TjKt4lkP52eqnX3nbvsbv6sY/vXUW57+uWWu2rvMSlQkmUNS66elbJaKFlSVpJUohQUeRHoizxbaj/Z7cnu5z8o6er0mrW/Nd5V+kztLmOiD/RzjCmlFskjfz7Mg847peSpTHkwt25HXkumPN1FzLRb2upb6D67sagMt2xc7rUvcksjkR5LdQQkc3EDsWP32+zzhy6s1AgnlEWOHbQuZnpyQ1HvCXdl5eXcTNUiSVlC3FjmiYc7QkdaEcic5VywIlMiKBVIcvDmnNlj8Ku9KiR4ksHTGqviA/Hfnx42/wCq0XCfb4nxGs3up2ozOm+o1DqaEJXPzNpOMSSFcwXDP81EehI5/wAB2xiJtjnwi1uq8OKZGLUqTGlIPaeAB6hYSu3USzrGbC7mrTEqsjchgeW8oekIHPHrIxGPFcVum6XehElWVJzjpAwjA/irMd9wi8C9w8USF6w6v16oU21JmYWmWDJHflXWlRCyhSgQ2yCCnfgkkEJHImJxsdzu4RGKP8keKVp0hOO/HKnNGZzjGd4WBn+7GpcQbSsK4WmzITcRz4re0GC+6ehNwL+SwFJ2QSHDgzV3uIzN7D7BQ8tLU2yL4SG7erbTsxt3GXc/ZvY7fJPWPuzHpo8pxfdz1nNCqI/rNobWalN0KkEP1GmzLm+bpref59t0YLjaSRuyNyc55jOOl0M1NXqNbClVAg1WmKSzN8sdICPJc/HBB9YizUuq0+vyIqVKib8I+oPMEdVr7HGzt2HYZm5UkwxqDqPvzCyLFRnrGeXqh18wMeqPJ6p35L6eWdNV7alcycMyrS+pbyhyB9QwSfuA7Y9zGl7t0LXEjIRajMslII+JxsFzrtv60bIl0zFy1piUUsfs2gordWP6qE8z98Ysa4n9P5SuVJwydXcl5oy/ROpZRgbEFJyCrPX1dcd9wn8Fl2cXE5Nasao3DO0y0e+VspfaAM3VHUny0M7gUtto81S8EA+SkHBIndIdzw4Q5GkfJStJ0TRCdpm5ipzS5kn07g4Bn+7FOxDtHwxhSaMhPRHPijtBgvu9xNxn3L6MoWyeThSx4gl7nCxN7DkcvuFDez9V7Gvghmg1xCpojPerw6J38AevHqzHr9p6znlHQ8W/c5TpLb03q9oDU6lM06ip77qVHmnOlmpRlPW+w8AFOJR1qSRuA5gkAiPF6CaoP6g247KVh5K6vStqJhfa82fNWfXnkfXg9pixUir03EkkKjSIm/DOR5EHoRyWv8bbOjh+EZyUJLBqDmR336LYR3P/AJzV8n+pTf8AOZiYsQ77n/jvu+sf0KYf8ZmJiRdpb/C3yWz8Dm9Blz3flUJwMxrE7twsKtjSbBAJqdX5Z7Ohlo2dnnEbuPrhsd4luHqrWrQZZty6aO6itUAqSnLk00FBTAUfN6VtS0dYG7YTnbHcrYvJcEdLo1I4UdMWKEG+hfobc4+Ujzpl1a1v59J6QrH4dnIRnAc+vrjVpwE8bNH0Rkn+HzXgzVFplPnXk02ozDKwaW8VnppWZbxuQjpNygrGUqKgoYII2V0nUCxa7Sk1yiXtb8/Tlp3iblqmy40U+ncFYj4N2n4NrVOxDMzMWE58OK8ua4AkEON7Zcx0Vok5iE+EADou+SkKWAsBWT5p5g8/XGjq1PkW1uLS7qRSZ2WlaLL1utykuVupbbLCHXejAKjjHkpxzjYLxad0E020jtioWzpbc1Pue+pxpUvLLp7yXpWllQwX3XU+QVpzlLaSTuA3bQMHw3cl+FOZmZaucRuqVuNTTFfllU63mKpKIdEyypxLkxPbXAeSlIShCsZI6QjkrnuzYVhKqUeRmZqoNMNsbdDWnXK/xW5a2CwGJYUKqy75O/aBF+l1j7wgt76w0kH+0GfijDfFJXJGYsSRkqfWZJ8P1EdKhiabcOA2ogkJJOAe3Ebwhpfpp26fWzy/8nlvgjDPF5wm2prnoLctiWfa9DpdydCmoUSYl5FiXJnWDvQ0paUghLnNsknA3g9kb0g04Q3729otVUTZvL0eeZOtjlxZnYj/ANWOO5+0uiU3hG0/NHCMTktMTk2pA5qmlzK+kz6xgD8IkVtIVu9MapuBbjDa4bZ2p8Puv0pO0ajS9Se6GafYWXKJOlWHmH2wN3RKUndkAlKsnBSeWzihai2FdNLTWrbvegVOnuJC0zMrUmXG8H1hXL8Y+JNquD6zT8RTE0+E58OM4ua8AkEHO3PMaWW85KYhvhBt7EL0ByCCnsII9ZzyjSbVJWkWxxx3jRrdebZpTVyVaXaCVhKA3+0UR14xuzGwXim4/dK9F7anqRYFy0y675mG1NSUrT3hMS8i4RgPTDiCUeQeYbBKiQM4HOMQ9ya4Z69c1yV3il1MpKnpOebmJKhGeZSr5QfecJmpwBQ5pBBQFYwVLXjzTG4dg+EqlSZSZnagww2RQ0NByJtc71vvksJiOHDqMu6VB7QIv5hZr4EX2Vaq10NPNuYt9WQhYOP5Sz6IngOoR1dOt6h0tSnabR5GTcWnYpcvLIaURnOMpA5dXL1R2g6hH0TCYITBDbyVZoFIFDkGSQdvBt8/PNCMjAiwNYOeXVH0hHYs0rdg9X8IbB6B/CLoQUWCt2CGwRdCIslgrdghsEXQhZLBW7BDYIuhCyWCt2CGwRdCFksFbsENgi6ELJYK3YIbBF0IWSwVuwQ2CLoQslgrdghsEXQhZLBWFEY1ubRWjXhqfJ35cbgm5SnSTbDFNKf2bj6VqWHHD+8kZGEYwTzOQMRk2KYGcx2Me6GbsNlwfCZEFnC6+TbAb24IOD2iPriKwjrsuy1tEjUF3bE/9KunWDzFuTp+7+Vco2+xDHun/C9VOIHRVq5LIpZnLxsV1dRk5dpsF6dk1JxMy6O0qwlLqU9pbKQMqESiyVozSqJRNIbJpFthsUuUt+ntyhR5pQWEcxj0kk/4x7bIjXDwFce1m0OzKbodrfV0UR+hpEnRK1MgiWclt2ES0wr/AGSm87UrI27eSikpydgDV9WVMUv5blrxoDtOKd4nEVNhTBHp3hW3H4x+fmP8GVuj1yP/ADwnPa95c1wBIcCbjrnmrVKzEN8IWNrLmV+n06rUOo0qstoXT5yUfl5pKxlJZW2pK8+raTGjnhhqMnSNQa/Jqn2JeSMq6EdM8lsK2PJCcbiATjP8TE4uNzugViUGyqvpXopcktcFx1mXckZ2rSKwuTprCwUuBDvmuvKSSkbcpSFE5JwI9r3LLhCFj6VVLVLVW0JVdWvksLpslVJFt1crTGwS24UuAlCnitSsdewIz1x9FbEMJVKh0aPEqQLP5i0tadQBztyvf/SrGKpWHW5Z8kTYOFr6rAgr9vZz4RUkj/j2f+aoj5xbVuWm5K3pWm1aVmWt8w6tMvModwoBASo7SezPX643vjS/TUDnp9bWf7HlvgiM3dA+EGn61aBzbWmFn02Xu62JgVmmS9PkWWHJ9KEKS9LZQkEqUhRKR2rSkdojc0CnCDED73WtcP7PJehT7Z1kYvLb5Fv5uvVcM1KolH4e9OKdboQJBNsyDiCgDClrZStw/eXFLyfVGTNvlA8j641n8A3HZbGn9tS+gmuk+uiM0h1bFFrEy2oNsIKyVScyMbm9iyrasjAyUqxgGNicnftkVGmprVOvOgTVPUneJtmpMLZKfTvCsEcvTHwttEwZWqTX5h8aE57Ijy5r7EhwJuMxfPlZbvlJiE+E0XGQXcTUtKzrLknPISqWfQpp9KvNLawUqB9WCY0c6CokaNrjc1LpkwhunNfKDDI6TAU22+ej/wAAIndxmd0H0/sS0Krp9o1c8ncV41VhyTXUKe6HpSktrBStzph5DjuCQkIJAOSTyweT3JjhSm7Ssmsa56k2+2mcvJpuVoUnPS6VKRTUneqZKVgkdKvATnnsb3dSxG/thuFKlRqVMRqiwwxGLd1pyNmg5kcr3yVcxRLwqxKvkgcnAgnzWXu5+OtLm766J1DgCKZkoUFY5zPXjqiY8ddTKJSKQV/JVLlJPpcb+gYQ3ux1Z2gZxz6/THYxvuGwQ2Bg5LC0SmCjyMOSDt7cFr9Ui1YyMYBzHS3LLXU/SHW7QqFLkKqVthqYqcm7Ny6U7hv3NtutLUSnIGFgA4JzGBLE4hr2bsSzNQNTXKE5K3bQalcfedBo8whbEtJyQmFtdI/Nq3LznB2YUOWEeceayq6vik7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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"\r\nfunction d = findDistance(v1, t) % Do not edit this line.\r\n  % insert your code here\r\n  d = ?;\r\nend % Do not edit this line.\r\n\r\n\r\n","test_suite":"%%\r\nassert(isequal(findDistance(22.5,2),22.5));\r\n%%\r\nassert(isequal(findDistance(33.3,3),50));","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":542228,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":360,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-10T02:04:42.000Z","updated_at":"2026-04-01T23:23:06.000Z","published_at":"2022-09-10T02:04:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? 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if a four bar mechanism is of Grashof type","description":"A four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other links. Grashof states that, in order that one of the link is a crank we have to satisfy s+l \u003c= p+q  ","description_html":"\u003cp\u003eA four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other links. Grashof states that, in order that one of the link is a crank we have to satisfy s+l \u0026lt;= p+q\u003c/p\u003e","function_template":"function y = Grashof(x)\r\n  y = true;\r\nend","test_suite":"%%\r\nx = [1 2 3 4];\r\ny_correct = true;\r\nassert(isequal(Grashof(x),y_correct))\r\n\r\n%%\r\nx = [4 2 1 3];\r\ny_correct = true;\r\nassert(isequal(Grashof(x),y_correct))\r\n\r\n%%\r\nx = [2 3 4 6];\r\ny_correct = false;\r\nassert(isequal(Grashof(x),y_correct))\r\n\r\n%%\r\nx = [2 5 4 6];\r\ny_correct = true;\r\nassert(isequal(Grashof(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":120378,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":97,"test_suite_updated_at":"2017-03-19T09:41:37.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2017-03-11T09:06:17.000Z","updated_at":"2026-02-13T19:56:58.000Z","published_at":"2017-03-11T09:06:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other links. Grashof states that, in order that one of the link is a crank we have to satisfy s+l \u0026lt;= p+q\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":55635,"title":"Linear Motion 7","description":"A robot has a maximum rate of acceleration of a m/s2. If the robot starts from rest and reaches a velocity of v2 m/s. How far has the robot traveled during this period? Round to 2 places.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 147px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 73.5px; transform-origin: 407px 73.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA robot has a maximum rate of acceleration of a m/s\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. If the robot starts from rest and reaches a velocity of v2 m/s. How far has the robot traveled during this period? Round to 2 places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 96px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 48px; text-align: left; transform-origin: 384px 48px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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If the robot starts from rest and reaches a velocity of v2 m/s. How far has the robot traveled during this period? 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Mathematics 4","description":"Team #1 is in first place but only one point higher than Team #2.  The sum of their two scores is N. What are each team’s scores?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTeam #1 is in first place but only one point higher than Team #2.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe sum of their two scores is N. What are each team’s scores?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [team1, team2] = teamPoints(N) % Do not edit this line.\r\n  % insert your code here\r\n  team1 = ?;\r\n  team2=?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\n[team1, team2] = teamPoints(147);\r\nassert(isequal(team1,74),\"team1 points correct\");\r\nassert(isequal(team2,73), \"team2 points correct\");\r\n%%\r\n \r\n[team1, team2] = teamPoints(285);\r\nassert(isequal(team1,143), \"team1 points correct\");\r\nassert(isequal(team2,142), \"team2 points correct\");\r\n%%\r\n \r\n[team1, team2] = teamPoints(91);\r\nassert(isequal(team1,46), \"team1 points correct\");\r\nassert(isequal(team2,45), \"team2 points correct\");\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-13T17:29:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":363,"test_suite_updated_at":"2022-09-13T17:29:44.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-13T15:38:54.000Z","updated_at":"2026-03-30T16:36:17.000Z","published_at":"2022-09-13T15:38:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTeam #1 is in first place but only one point higher than Team #2.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe sum of their two scores is N. What are each team’s scores?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55395,"title":" Resistance of a light bulb","description":"The current through two identical light bulbs connected in series is C Amperes.  The total voltage across both bulbs is V Volts.  Find the resistance R in a single light bulb.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 157px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78.5px; transform-origin: 407px 78.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe current through two identical light bulbs connected in series is C Amperes.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe total voltage across both bulbs is V Volts.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the resistance R in a single light 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function R = findRes(C,V) % Do not edit this line.\r\n  % insert your code here\r\n  \r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findRes (0.25,110),220));\r\n%%\r\nassert(isequal(findRes(0.2,20),50));","published":true,"deleted":false,"likes_count":6,"comments_count":3,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-08T18:46:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":923,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-08-31T14:38:51.000Z","updated_at":"2026-04-03T03:30:56.000Z","published_at":"2022-08-31T14:38:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml 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of Kinetic friction","description":"A robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed.  What is the coefficient of kinetic friction (to the nearest tenth) between the crate and the concrete floor?\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 156.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78.4px; transform-origin: 407px 78.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function u = findCoF(F1,W1) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findCoF(35,50),0.7));\r\n%%\r\nassert(isequal(findCoF(55,25),2.2));\r\n%%\r\nassert(isequal(findCoF(25,55),0.5));","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:28:03.000Z","deleted_by":null,"deleted_at":null,"solvers_count":359,"test_suite_updated_at":"2022-10-11T18:28:03.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T17:39:10.000Z","updated_at":"2026-03-30T16:15:59.000Z","published_at":"2022-09-09T17:39:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 276.5px 8px; transform-origin: 276.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which stand for the radius and height of a cake, calculate the surface area of the cake you need to put frosting on (all around the sides and the top).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.75px; text-align: left; transform-origin: 384px 10.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109.5px 8px; transform-origin: 109.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn the result in output variable\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8px 8px; transform-origin: 8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 8px 8.5px; transform-origin: 8px 8.5px; \"\u003eSA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function SA = func_frosting(r,h)\r\n  SA = r + h;\r\nend","test_suite":"%%\r\nfiletext = fileread('func_frosting.m');\r\nassert(isempty(strfind(filetext, 'regexp')))\r\nassert(isempty(strfind(filetext, 'else')))\r\nassert(isempty(strfind(filetext, 'switch')))\r\n\r\n%%\r\nr = 3;\r\nh = 2;\r\ny_correct = 65.9734;\r\nassert(abs(func_frosting(r,h) - y_correct) \u003c 1e-4)\r\n\r\n%%\r\nr = 1;\r\nh = 1;\r\ny_correct = 3*pi;\r\nassert(abs(func_frosting(r,h) - y_correct) \u003c 1e-4)\r\n\r\n%%\r\nr = 0.5;\r\nh = 0.25;\r\ny_correct = 1.5708;\r\nassert(abs(func_frosting(r,h) - y_correct) \u003c 1e-4)\r\n","published":true,"deleted":false,"likes_count":223,"comments_count":24,"created_by":162851,"edited_by":223089,"edited_at":"2022-07-06T08:49:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":29344,"test_suite_updated_at":"2022-07-06T08:49:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-08-13T19:36:28.000Z","updated_at":"2026-04-05T11:34:10.000Z","published_at":"2019-08-29T18:15:57.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven two input variables\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which stand for the radius and height of a cake, calculate the surface area of the cake you need to put frosting on (all around the sides and the top).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn the result in output variable\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55555,"title":"Find the force required to support a lever","description":"Students are designing a robot that will lift a block to the equilibrium position for transport to the scoring area. They have decided to use a lever to accomplish this. The lever below is composed of a WPlb. plank of length L hinged at the far-left end. The effort force FEis applied between the fulcrum and the WL lb. load. Determine the force required to support the lever in the equilibrium position. Assume the center of gravity of the plank is at the mid-point. Round to the nearest hundreds.\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 308.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 154.4px; transform-origin: 407px 154.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eStudents are designing a robot that will lift a block to the equilibrium position for transport to the scoring area. They have decided to use a lever to accomplish this. The lever below is composed of a W\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003elb. plank of length L hinged at the far-left end. The effort force F\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eE\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eis applied between the fulcrum and the W\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e lb. load. Determine the force required to support the lever in the equilibrium position. Assume the center of gravity of the plank is at the mid-point. Round to the nearest hundreds.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 164.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 82.4px; text-align: left; transform-origin: 384px 82.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findFE(100,20,70,2,5), 7.14));\r\n%%\r\nassert(isequal(findFE(200,65,125,3.5,5),8.2));\r\n%%\r\nassert(isequal(findFE(175,35,100,4.2,7),13.48));\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:26:23.000Z","deleted_by":null,"deleted_at":null,"solvers_count":234,"test_suite_updated_at":"2022-10-11T18:26:23.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T15:18:58.000Z","updated_at":"2026-04-03T02:10:15.000Z","published_at":"2022-09-09T15:18:58.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" 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Round to the nearest hundreds.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"159\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"315\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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The second mentor is donating twice as much as the first mentor and dedicating their money towards PVC pipe.  The third mentor is donating $20 less than the second to wiring.  How much are you receiving from each mentor?\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThree generous robotics team mentors would jointly like to donate $N toward extra supplies. 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This combination is connected in series with a 4 ohm resistor.  What is the overall resistance of this combination in kilohms? Round to 2 decimal places.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.75px; transform-origin: 407px 75.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 242px 8px; transform-origin: 242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTwo resistors with values of 6.0 ohms and 12 ohms are connected in parallel.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138px 8px; transform-origin: 138px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis combination is connected in series with a 4 ohm resistor.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 278.5px 8px; transform-origin: 278.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the overall resistance of this combination in kilohms? Round to 2 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.25px; text-align: left; transform-origin: 384px 50.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 312px;height: 95px\" 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data-image-state=\"image-loaded\" width=\"312\" height=\"95\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function R = findRes(R1,R2,R3) % Do not edit this line.\r\n  % insert your code here\r\n  R = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findRes(60,120,40),0.08));\r\n%%\r\nassert(isequal(findRes(6200,2200,1200),2.82));\r\n%%\r\nassert(isequal(findRes(1e4,1e4,5e3),10));\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":542228,"edited_by":223089,"edited_at":"2022-10-11T08:28:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":348,"test_suite_updated_at":"2022-10-11T08:28:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:22:44.000Z","updated_at":"2026-03-30T16:47:46.000Z","published_at":"2022-09-15T12:22:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTwo resistors with values of 6.0 ohms and 12 ohms are connected in parallel.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThis combination is connected in series with a 4 ohm resistor.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the overall resistance of this combination in kilohms? Round to 2 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"95\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"312\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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of Sliding Friction","description":"A weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = Ao with the horizontal, the mass just begins to slide.  What is the coefficient of sliding friction between the block and the surface? Round to the nearest hundredth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 153px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 76.5px; transform-origin: 407px 76.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = A\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eo\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e with the horizontal, the mass just begins to slide.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat is the coefficient of sliding friction between the block and the surface? Round to the nearest hundredth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 81px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 40.5px; text-align: left; transform-origin: 384px 40.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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The plane is gradually inclined until at an angle θ = A\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eo\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with the horizontal, the mass just begins to slide.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the coefficient of sliding friction between the block and the surface? 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Conversion ","description":"Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x*fast;\r\nend","test_suite":"%%\r\nx = 11;\r\ny_correct = 17.7027;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 45;\r\ny_correct = 72.4203;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 80;\r\ny_correct = 128.7472;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":10,"comments_count":8,"created_by":180632,"edited_by":26769,"edited_at":"2022-04-12T14:19:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1666,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T22:04:31.000Z","updated_at":"2026-04-03T03:28:00.000Z","published_at":"2020-12-22T22:04:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55670,"title":"Basic Mathematics 3","description":"It was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach balls.  The beach ball is worth ten more points than the cans.  The sum of twice the cans points plus three times the beach ball points, is N.\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 365px 8px; transform-origin: 365px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach balls.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171px 8px; transform-origin: 171px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe beach ball is worth ten more points than the cans.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 167px 8px; transform-origin: 167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe sum of twice the cans points plus three times the beach ball points, is N.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function points[cans,balls] = findPoints(N) % Do not edit this line.\r\n  % insert your code here\r\n  cans = ?\r\n  balls = ?\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\n[cans, balls] = findPoints(55)\r\nassert(isequal(cans,5), \"right number of cans\");\r\nassert(isequal(balls,15), \"right number of balls\");\r\n%%\r\n[cans, balls] = findPoints(75)\r\nassert(isequal(cans,9), \"right number of cans\");\r\nassert(isequal(balls,19), \"right number of balls\");\r\n%%\r\n[cans, balls] = findPoints(35)\r\nassert(isequal(cans,1), \"right number of cans\");\r\nassert(isequal(balls,11), \"right number of balls\");\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":542228,"edited_by":223089,"edited_at":"2022-10-14T07:06:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":264,"test_suite_updated_at":"2022-09-13T17:30:46.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-13T14:47:10.000Z","updated_at":"2026-03-30T16:31:13.000Z","published_at":"2022-09-13T14:47:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach balls.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe beach ball is worth ten more points than the cans.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe sum of twice the cans points plus three times the beach ball points, is N.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49087,"title":"Energy Conversion 2","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 10.5px; transform-origin: 332px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven an energy in Joule, convert it to MeV (Mega Electron Volt).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x/1e-18;\r\nend","test_suite":"%%\r\nx = 100;\r\ny_correct = 6.242e14;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 222;\r\ny_correct = 1.386e15;\r\nassert(abs(convert_stuff(x)-y_correct)\u003c1e12)\r\n","published":true,"deleted":false,"likes_count":12,"comments_count":4,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1272,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T22:12:08.000Z","updated_at":"2026-04-03T03:34:45.000Z","published_at":"2020-12-22T22:12:08.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an energy in Joule, convert it to MeV (Mega Electron Volt).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55400,"title":"Calculate Parallel Resistance","description":"Three resistors connected in parallel have resistances R1, R 2, and R 3, respectively.  Return the total resistance R total  of the three resistors together to two decimal places?\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 144.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 72.25px; transform-origin: 407px 72.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 178px 8px; transform-origin: 178px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThree resistors connected in parallel have resistances R\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5px 8px; transform-origin: 5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eR\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6px 8px; transform-origin: 6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19px 8px; transform-origin: 19px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand R\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6px 8px; transform-origin: 6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39px 8px; transform-origin: 39px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003erespectively.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.5px 8px; transform-origin: 92.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn the total resistance R \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.5px 8px; transform-origin: 13.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003etotal\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 167px 8px; transform-origin: 167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof the three resistors together to two decimal places?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 93.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 46.75px; text-align: left; transform-origin: 384px 46.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Rtotal = findTotalRes(R1,R2,R3) % Do not edit this line.\r\n  % insert your code here\r\n  \r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findTotalRes(100,200,300),54.55));\r\n%%\r\nassert(isequal(findTotalRes(20,40,60),10.91));\r\n%%\r\nassert(isequal(findTotalRes(45,45,45),15));\r\n\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":1,"created_by":542228,"edited_by":223089,"edited_at":"2022-10-11T07:58:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":887,"test_suite_updated_at":"2022-10-11T07:58:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-08-31T15:14:42.000Z","updated_at":"2026-04-03T03:32:04.000Z","published_at":"2022-08-31T15:14:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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Diode Current Calculation","description":"In engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instances of that phenomenon. Sometimes it is more useful to use one equation in a set of circumstances, and another equation in a different set of circumstances. One example of this is with electrical diodes. A simplification of the approximation of the electrical characteristics of a diode uses these two simple equations:\r\n\r\ni = I_s * exp(v/V_T) for v \u003e V_T\r\n\r\ni = −I_s for v ≤ V_T\r\n\r\nWhere V_T = 0.026 Volts and I_S = 1*10-8 Amperes. Write a function with one input, the voltage v across this diode, and one output, the current i running through the diode. Use a conditional statement in writing this program.\r\n\r\n(Source: \u003chttps://drive.google.com/file/d/0B9G6VyQGUYhnc0JSZHVVUkN3dkk/view 14:440:127 – Introduction to Computers for Engineers – HW3\u003e)","description_html":"\u003cp\u003eIn engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instances of that phenomenon. Sometimes it is more useful to use one equation in a set of circumstances, and another equation in a different set of circumstances. One example of this is with electrical diodes. A simplification of the approximation of the electrical characteristics of a diode uses these two simple equations:\u003c/p\u003e\u003cp\u003ei = I_s * exp(v/V_T) for v \u0026gt; V_T\u003c/p\u003e\u003cp\u003ei = −I_s for v ≤ V_T\u003c/p\u003e\u003cp\u003eWhere V_T = 0.026 Volts and I_S = 1*10-8 Amperes. Write a function with one input, the voltage v across this diode, and one output, the current i running through the diode. Use a conditional statement in writing this program.\u003c/p\u003e\u003cp\u003e(Source: \u003ca href = \"https://drive.google.com/file/d/0B9G6VyQGUYhnc0JSZHVVUkN3dkk/view\"\u003e14:440:127 – Introduction to Computers for Engineers – HW3\u003c/a\u003e)\u003c/p\u003e","function_template":"function [i] = diode(v)\r\n  Is = 1*10^-8;\r\n  Vt = 0.026;\r\n  i = v;\r\nend","test_suite":"%%\r\nv = 0.2;\r\nIs = 1*10^-8;\r\nVt = 0.026;\r\ni_correct = Is*exp(v/Vt);\r\nassert(isequal(diode(v),i_correct))\r\n\r\n%%\r\nv = 0.7;\r\nIs = 1*10^-8;\r\nVt = 0.026;\r\ni_correct = Is*exp(v/Vt);\r\nassert(isequal(diode(v),i_correct))\r\n\r\n%%\r\nv = 0.026;\r\nIs = 1*10^-8;\r\nVt = 0.026;\r\ni_correct = -Is;\r\nassert(isequal(diode(v),i_correct))\r\n\r\n%%\r\nv = -1;\r\nIs = 1*10^-8;\r\nVt = 0.026;\r\ni_correct = -Is;\r\nassert(isequal(diode(v),i_correct))","published":true,"deleted":false,"likes_count":8,"comments_count":6,"created_by":85443,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1136,"test_suite_updated_at":"2016-09-30T01:43:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-09-30T01:33:10.000Z","updated_at":"2026-04-03T03:30:14.000Z","published_at":"2016-09-30T01:43:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instances of that phenomenon. Sometimes it is more useful to use one equation in a set of circumstances, and another equation in a different set of circumstances. One example of this is with electrical diodes. A simplification of the approximation of the electrical characteristics of a diode uses these two simple equations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ei = I_s * exp(v/V_T) for v \u0026gt; V_T\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ei = −I_s for v ≤ V_T\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhere V_T = 0.026 Volts and I_S = 1*10-8 Amperes. Write a function with one input, the voltage v across this diode, and one output, the current i running through the diode. Use a conditional statement in writing this program.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e(Source:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://drive.google.com/file/d/0B9G6VyQGUYhnc0JSZHVVUkN3dkk/view\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e14:440:127 – Introduction to Computers for Engineers – HW3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":48685,"title":"Laws of motion 3","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the final velocity of an object with initial velocity 'u', acceleration 'a' and distance travelled 's'. Round to nearest number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v = your_fcn_name(u,a,s)\r\n  y = x;\r\nend","test_suite":"%%\r\nu=0;\r\na=1;\r\ns=1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(u,a,s),y_correct))\r\n\r\n%%\r\nu=0;\r\na=1;\r\ns=10;\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(u,a,s),y_correct))\r\n\r\n%%\r\nu=20;\r\na=2;\r\ns=10;\r\ny_correct = 21;\r\nassert(isequal(your_fcn_name(u,a,s),y_correct))\r\n\r\n%%\r\nu=0;\r\na=1;\r\ns=7;\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(u,a,s),y_correct))\r\n","published":true,"deleted":false,"likes_count":24,"comments_count":5,"created_by":644918,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":3285,"test_suite_updated_at":"2020-12-21T16:57:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-21T16:53:43.000Z","updated_at":"2026-04-04T03:59:26.000Z","published_at":"2020-12-21T16:53:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the final velocity of an object with initial velocity 'u', acceleration 'a' and distance travelled 's'. Round to nearest number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49057,"title":"Mass Conversion 1","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 246.5px 8px; transform-origin: 246.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a mass in kg, convert it into lbs. Use a conversion factor of 2.205 lbs/kg.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x+x+x+x;\r\nend","test_suite":"%%\r\nx = 10;\r\ny_correct = 22.05;\r\nassert(abs(convert_stuff(x) - y_correct) \u003c 1e-4)\r\n%%\r\nx = 11;\r\ny_correct = 24.255;\r\nassert(abs(convert_stuff(x) - y_correct) \u003c 1e-4)\r\n%%\r\nx = -3;\r\ny_correct = 'Cannot have a negative mass';\r\nassert(isequal(convert_stuff(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":12,"comments_count":5,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1569,"test_suite_updated_at":"2021-01-11T11:36:19.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T21:45:53.000Z","updated_at":"2026-04-03T03:36:37.000Z","published_at":"2020-12-22T21:45:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a mass in kg, convert it into lbs. Use a conversion factor of 2.205 lbs/kg.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55735,"title":"Calculate supply voltage and total current","description":"Three resistors are connected in series and each has a resistance in ohms. Resistor R2 has a voltage drop of ΔV2volts  Find the supply voltage Vt and the total current I (in mA) flowing through the circuit. Round to 1 decimal place.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.5px; transform-origin: 407px 75.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThree resistors are connected in series and each has a resistance in ohms. Resistor R2 has a voltage drop of ΔV\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003evolts\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the supply voltage Vt and the total current I (in mA) flowing through the circuit. Round to 1 decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50px; text-align: left; transform-origin: 384px 50px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"471\" height=\"94\" style=\"vertical-align: baseline;width: 471px;height: 94px\" 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correct\");\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-15T14:32:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":250,"test_suite_updated_at":"2022-09-15T14:32:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:16:53.000Z","updated_at":"2026-03-30T16:48:51.000Z","published_at":"2022-09-15T12:19:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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Round to 1 decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function w = findWeight(W,L) % Do not edit this line.\r\n  % insert your code here\r\n  w = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findWeight(20,18),1.4));\r\n%%\r\nassert(isequal(findWeight(15,15),0.7));","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":542228,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":320,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-12T12:55:45.000Z","updated_at":"2026-03-30T16:29:45.000Z","published_at":"2022-09-12T12:55:45.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weight will this base contribute to your robot? Round to 1 decimal place.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55540,"title":"Calculate load on arm 1","description":"A robot is designed with a motor directly attached at the pivot point of the lifting arm.  The L inch arm has a weight of W1 lbs. that is concentrated at its center of gravity which is located at CG inches from the fulcrum. Determine the maximum weight W2 that the arm can lift if the motor provides Tq in. lbs. of torque and the load is located at the right end of the arm. Round to the nearest hundredth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 165.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 82.9px; transform-origin: 407px 82.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA robot is designed with a motor directly attached at the pivot point of the lifting arm.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe L inch arm has a weight of W1 lbs. that is concentrated at its center of gravity which is located at CG inches from the fulcrum. Determine the maximum weight W2 that the arm can lift if the motor provides Tq in. lbs. of torque and the load is located at the right end of the arm. Round to the nearest hundredth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 72.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 36.4px; text-align: left; transform-origin: 384px 36.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Wload = calcLoad(Tq,L,CG,W1) % Do not edit this line.\r\n\r\n  % insert your code here\r\n  \r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(calcLoad(9.5,12,6,0.5),0.54));\r\n%%\r\nassert(isequal(calcLoad(33,15,8,1),1.67));\r\n%%\r\nassert(isequal(calcLoad(25,22,11,1.2),0.54));\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:20:01.000Z","deleted_by":null,"deleted_at":null,"solvers_count":311,"test_suite_updated_at":"2022-10-11T18:20:01.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-08T17:25:32.000Z","updated_at":"2026-04-03T02:04:32.000Z","published_at":"2022-09-08T17:25:32.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA robot is designed with a motor directly attached at the pivot point of the lifting arm.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe L inch arm has a weight of W1 lbs. that is concentrated at its center of gravity which is located at CG inches from the fulcrum. Determine the maximum weight W2 that the arm can lift if the motor provides Tq in. lbs. of torque and the load is located at the right end of the arm. Round to the nearest hundredth.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"67\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"166\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.jpeg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.jpeg\",\"contentType\":\"image/jpeg\",\"content\":\"data:image/jpeg;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationsh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Numbers","description":"Triangle numbers are the sums of successive integers. So 6 is a triangle number because\r\n 6 = 1 + 2 + 3\r\nwhich can be displayed in a triangular shape like so\r\n      *\r\n     * *\r\n    * * *\r\nThus 6 = triangle(3). Given n, return t, the triangular number for n.\r\nExample:\r\n Input  n = 4\r\n Output t is 10","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 265.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 132.8px; transform-origin: 407px 132.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 282px 8px; transform-origin: 282px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangle numbers are the sums of successive integers. So 6 is a triangle number because\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 8.5px; tab-size: 4; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 6 = 1 + 2 + 3\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 162px 8px; transform-origin: 162px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhich can be displayed in a triangular shape like so\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e      *\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); 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\"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 32px 8.5px; tab-size: 4; transform-origin: 32px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     * *\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 36px 8.5px; tab-size: 4; transform-origin: 36px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    * * *\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 208.5px 8px; transform-origin: 208.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThus 6 = triangle(3). Given n, return t, the triangular number for n.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.5px 8px; transform-origin: 28.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20.4333px; transform-origin: 404px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; tab-size: 4; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; \"\u003en = 4\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 60px 8.5px; tab-size: 4; transform-origin: 60px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 28px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 28px 8.5px; \"\u003et is 10\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function t = triangle(n)\r\n t = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('triangle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'if') || contains(filetext, 'switch'); \r\nassert(~illegal)\r\n\r\n%%\r\nn = 1;\r\nt = 1;\r\nassert(isequal(triangle(n),t))\r\n\r\n%%\r\nn = 3;\r\nt = 6;\r\nassert(isequal(triangle(n),t))\r\n\r\n%%\r\nn = 5;\r\nt = 15;\r\nassert(isequal(triangle(n),t))\r\n\r\n%%\r\nn = 30;\r\nt = 465;\r\nassert(isequal(triangle(n),t))\r\n\r\n%%\r\nn = 30;\r\nt = 465;\r\nassert(isequal(triangle(n),t))","published":true,"deleted":false,"likes_count":143,"comments_count":27,"created_by":1,"edited_by":223089,"edited_at":"2022-12-21T10:26:58.000Z","deleted_by":null,"deleted_at":null,"solvers_count":30170,"test_suite_updated_at":"2022-12-21T10:26:58.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:17.000Z","updated_at":"2026-04-05T09:54:59.000Z","published_at":"2012-01-18T01:00:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangle numbers are the sums of successive integers. So 6 is a triangle number because\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ 6 = 1 + 2 + 3]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhich can be displayed in a triangular shape like so\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[      *\\n     * *\\n    * * *]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThus 6 = triangle(3). Given n, return t, the triangular number for n.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  n = 4\\n Output t is 10]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55550,"title":" Find the mass of a  rod","description":"Determine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram.  In the diagram L1, L2, L3 are distance from the left end of the rod, in the order specified (i.e, L3\u003eL2\u003eL1). Assume the center of gravity is at the midpoint of the rod. Find the mass to the nearest gram.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 154.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 77.4px; transform-origin: 407px 77.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDetermine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn the diagram L1, L2, L3 are distance from the left end of the rod, in the order specified (i.e, L3\u0026gt;L2\u0026gt;L1). Assume the center of gravity is at the midpoint of the rod. Find the mass to the nearest gram.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 82.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 41.4px; text-align: left; transform-origin: 384px 41.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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410));","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:23:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":260,"test_suite_updated_at":"2022-10-11T18:23:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T14:54:29.000Z","updated_at":"2026-04-03T02:09:04.000Z","published_at":"2022-09-09T14:57:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eIn the diagram L1, L2, L3 are distance from the left end of the rod, in the order specified (i.e, L3\u0026gt;L2\u0026gt;L1). Assume the center of gravity is at the midpoint of the rod. Find the mass to the nearest gram.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"77\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"252\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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Mathematics 1","description":"If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in direction (left or right) each second, what is the unobstructed distance required to the right or left of the robot to make the turn (i.e., the turn radius)? Round to 2 places\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 168px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 84px; transform-origin: 407px 84px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIf a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in direction (left or right) each second, what is the unobstructed distance required to the right or left of the robot to make the turn (i.e., the turn radius)? 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line.\r\n","test_suite":"%%\r\nassert(isequal(myRadius(2,20),5.73));\r\n%%\r\nassert(isequal(myRadius(3,20),8.59));\r\n%%\r\nassert(isequal(myRadius(4,30),7.64));","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-13T12:06:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":331,"test_suite_updated_at":"2022-09-12T12:42:35.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-12T12:38:53.000Z","updated_at":"2026-03-30T16:28:38.000Z","published_at":"2022-09-12T12:42:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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The base of the arm is Ya inches above the ground.If the robot were d ” to the left or right of its current position, how much longer (in inches) would the robot arm need to be? Express as the delta rounded to 2 places.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 304.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 152.25px; transform-origin: 408px 152.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.867px 8px; transform-origin: 379.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm is Ya inches above the ground.If the robot were d ” to the left or right of its current position, how much longer (in inches) would the robot arm need to be? Express as the delta rounded to 2 places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 232.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 116.25px; text-align: left; transform-origin: 385px 116.25px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"624\" height=\"227\" style=\"vertical-align: baseline;width: 624px;height: 227px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Delta = findDelta(X,Ya,Yg,d) % Do not edit this line.\r\n  % insert your code here\r\n  Delta = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nfiletext = fileread('findDelta.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assert');\r\nassert(~illegal)\r\n%%\r\nassert(isequal(findDelta(3,1,2,1),0.15));\r\n%%\r\nassert(isequal(findDelta(15,5,20,10),2.24));\r\n%%\r\nassert(isequal(findDelta(8,0,20,15),4.71));\r\n%%\r\nassert(isequal(findDelta(randi(10),randi(10),randi(10),0),0));\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":542228,"edited_by":223089,"edited_at":"2025-09-27T04:28:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":200,"test_suite_updated_at":"2025-09-27T04:28:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:33:49.000Z","updated_at":"2026-03-30T16:43:40.000Z","published_at":"2022-09-15T12:33:49.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm is Ya inches above the ground.If the robot were d ” to the left or right of its current position, how much longer (in inches) would the robot arm need to be? 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long do each of the stages of the rocket take to burn?","description":"A space rocket has 3 stages:\r\n\r\n- stage 1, s1;\r\n\r\n- stage 2, s2;\r\n\r\n- stage 3, s3.\r\n\r\nIf s1 burns 3 x as long as s2 which burns 2 x as long as s3 then how long did s3 burn if the total burn time was tt minutes? How long did s2 burn? s1?","description_html":"\u003cp\u003eA space rocket has 3 stages:\u003c/p\u003e\u003cp\u003e- stage 1, s1;\u003c/p\u003e\u003cp\u003e- stage 2, s2;\u003c/p\u003e\u003cp\u003e- stage 3, s3.\u003c/p\u003e\u003cp\u003eIf s1 burns 3 x as long as s2 which burns 2 x as long as s3 then how long did s3 burn if the total burn time was tt minutes? How long did s2 burn? s1?\u003c/p\u003e","function_template":"function s = rocketburntime(totaltime,r1,r2)\r\n  s=(s1,s2,s3);\r\nend","test_suite":"%% test #1\r\ntt=18; rate1=3; rate2=2;\r\ny_correct =[12,4,2];\r\nassert(isequal(rocketburntime(tt,rate1,rate2),y_correct))\r\n%% test #2\r\ntt=32; rate1=4; rate2=3;\r\ny_correct =[24,6,2];\r\nassert(isequal(rocketburntime(tt,rate1,rate2),y_correct))\r\n%% test #3\r\ntt=58; rate1=6; rate2=4;\r\ny_correct =[48,8,2];\r\nassert(isequal(rocketburntime(tt,rate1,rate2),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":4,"created_by":1103,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":462,"test_suite_updated_at":"2013-02-24T01:38:26.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-02-24T01:16:02.000Z","updated_at":"2026-04-03T03:39:40.000Z","published_at":"2013-02-24T01:38:26.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA space rocket has 3 stages:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- stage 1, s1;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- stage 2, s2;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- stage 3, s3.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf s1 burns 3 x as long as s2 which burns 2 x as long as s3 then how long did s3 burn if the total burn time was tt minutes? How long did s2 burn? s1?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2414,"title":"Mechanical Advantage of a Gear Train","description":"Calculate the mechanical advantage of a gear train.\r\n\r\nThe mechanical advantage of a gear couple is given by MA = T_o/T_i where T_x is the number of gear teeth on gear x, o=output, and i=input. For stacked gear couples the overall mechanical advantage is the product of the individual mechanical advantages.\r\n\r\nThe number of teeth in each gear are given in a 2 x n matrix where n = number of gear couples and the output gears are in the first row.\r\n\r\nExample: \r\n\r\n T_i1 = 5; T_o1 = 15;\r\n T_i2 = 8; T_o2 = 12;\r\n T_i3 = 6; T_o3 = 24;\r\n gears = [T_o1 T_o2 T_o3\r\n          T_i1 T_i2 T_i3]\r\n \r\n MA = (15/5)*(12/8)*(24/6) = 3*1.5*4 = 18\r\n","description_html":"\u003cp\u003eCalculate the mechanical advantage of a gear train.\u003c/p\u003e\u003cp\u003eThe mechanical advantage of a gear couple is given by MA = T_o/T_i where T_x is the number of gear teeth on gear x, o=output, and i=input. For stacked gear couples the overall mechanical advantage is the product of the individual mechanical advantages.\u003c/p\u003e\u003cp\u003eThe number of teeth in each gear are given in a 2 x n matrix where n = number of gear couples and the output gears are in the first row.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e T_i1 = 5; T_o1 = 15;\r\n T_i2 = 8; T_o2 = 12;\r\n T_i3 = 6; T_o3 = 24;\r\n gears = [T_o1 T_o2 T_o3\r\n          T_i1 T_i2 T_i3]\u003c/pre\u003e\u003cpre\u003e MA = (15/5)*(12/8)*(24/6) = 3*1.5*4 = 18\u003c/pre\u003e","function_template":"function MA = MA_gear_train(gears)\r\n MA = 1;\r\nend","test_suite":"%%\r\nT_i = 10; T_o = 25;\r\ngears = [T_o; T_i];\r\nassert(isequal(MA_gear_train(gears),2.5))\r\n\r\n%%\r\nT_i1 = 5; T_o1 = 15;\r\nT_i2 = 8; T_o2 = 12;\r\nT_i3 = 6; T_o3 = 24;\r\ngears = [T_o1 T_o2 T_o3; T_i1 T_i2 T_i3];\r\nassert(isequal(MA_gear_train(gears),18))\r\n\r\n%%\r\nT_i1 = 10; T_o1 = 15;\r\nT_i2 = 8; T_o2 = 12;\r\ngears = [T_o1 T_o2; T_i1 T_i2];\r\nassert(isequal(MA_gear_train(gears),2.25))\r\n\r\n%%\r\nT_i1 = 6; T_o1 = 15;\r\nT_i2 = 5; T_o2 = 15;\r\nT_i3 = 9; T_o3 = 27;\r\nT_i4 = 6; T_o4 = 15;\r\nT_i5 = 11; T_o5 = 22;\r\nT_i6 = 14; T_o6 = 21;\r\ngears = [T_o1 T_o2 T_o3 T_o4 T_o5 T_o6; T_i1 T_i2 T_i3 T_i4 T_i5 T_i6];\r\nassert(isequal(MA_gear_train(gears),168.75))\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":0,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":375,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-07-11T16:20:19.000Z","updated_at":"2026-04-03T02:02:37.000Z","published_at":"2014-07-11T16:20:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the mechanical advantage of a gear train.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe mechanical advantage of a gear couple is given by MA = T_o/T_i where T_x is the number of gear teeth on gear x, o=output, and i=input. For stacked gear couples the overall mechanical advantage is the product of the individual mechanical advantages.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number of teeth in each gear are given in a 2 x n matrix where n = number of gear couples and the output gears are in the first row.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ T_i1 = 5; T_o1 = 15;\\n T_i2 = 8; T_o2 = 12;\\n T_i3 = 6; T_o3 = 24;\\n gears = [T_o1 T_o2 T_o3\\n          T_i1 T_i2 T_i3]\\n\\n MA = (15/5)*(12/8)*(24/6) = 3*1.5*4 = 18]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":49067,"title":"Area Conversion 1","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 10.5px; transform-origin: 332px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven an area in ft^2, convert it to m^2.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x+area*2;\r\nend","test_suite":"%%\r\nx = 11;\r\ny_correct = 1.0219;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 336;\r\ny_correct = 31.2144;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 121;\r\ny_correct = 11.2409;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 12.5;\r\ny_correct = 1.1613;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":11,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1025,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T21:53:28.000Z","updated_at":"2026-04-03T03:38:42.000Z","published_at":"2020-12-22T21:53:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an area in ft^2, convert it to m^2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55535,"title":"Magnitude of Balancing Force","description":"A box weighing W1 pounds is placed where its center of mass is located d1 ft from the fulcrum. A balancing force is placed at the opposite end of an L ft plank, d2 ft from the fulcrum. The plank has a weight of W2. Find the magnitude of the balancing force to the nearest hundredth of a pound.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 218.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 109.25px; transform-origin: 407px 109.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA box weighing W1 pounds is placed where its center of mass is located d1 ft from the fulcrum. A balancing force is placed at the opposite end of an L ft plank, d2 ft from the fulcrum. The plank has a weight of W2. Find the magnitude of the balancing force to the nearest hundredth of a pound.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 146.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.25px; text-align: left; transform-origin: 384px 73.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 347px;height: 141px\" 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line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(balanceforce(7,1.5,4.5,5,2),1.22));\r\n\r\n%%\r\nassert(isequal(balanceforce(2,0.2,1.5,13,5),0.07));\r\n\r\n%%\r\nassert(isequal(balanceforce(2,0.2,1.5,0,0),0));","published":true,"deleted":false,"likes_count":7,"comments_count":2,"created_by":542228,"edited_by":223089,"edited_at":"2022-10-12T10:26:17.000Z","deleted_by":null,"deleted_at":null,"solvers_count":267,"test_suite_updated_at":"2022-10-12T10:26:17.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-08T16:48:51.000Z","updated_at":"2026-04-03T03:40:29.000Z","published_at":"2022-09-08T16:48:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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A balancing force is placed at the opposite end of an L ft plank, d2 ft from the fulcrum. The plank has a weight of W2. Find the magnitude of the balancing force to the nearest hundredth of a pound.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"141\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"347\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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gear ratio does the cyclist need?","description":"A cyclist (perhaps including our famed Codysolver the cyclist \r\n\u003chttp://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\u003e) operates a bicycle most efficiently when turning the pedals at a specific rotational rate.  it turns out that almost all real engines are most efficient in a limited range of rotation rates.\r\nYou'll be given a minimum and a maximum cyclist pedaling rate in revolutions per minute (rpm).  You get a wheel diameter in inches and the height of the compressed tire above the wheel in inches.  You will be given a speed that the bicyclist wants to travel in miles per hour (mph).\r\nYou need to compute the gear ratios required to allow the cyclist to travel at the pedaling rates from the input and provide it as a two element row vector.","description_html":"\u003cp\u003eA cyclist (perhaps including our famed Codysolver the cyclist  \u003ca href=\"http://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\"\u003ehttp://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\u003c/a\u003e) operates a bicycle most efficiently when turning the pedals at a specific rotational rate.  it turns out that almost all real engines are most efficient in a limited range of rotation rates.\r\nYou'll be given a minimum and a maximum cyclist pedaling rate in revolutions per minute (rpm).  You get a wheel diameter in inches and the height of the compressed tire above the wheel in inches.  You will be given a speed that the bicyclist wants to travel in miles per hour (mph).\r\nYou need to compute the gear ratios required to allow the cyclist to travel at the pedaling rates from the input and provide it as a two element row vector.\u003c/p\u003e","function_template":"function gearRatios = bicycleGearRatios(minRate,maxRate,wheelDiam,tireHeight,speed)\r\n  gearRatios = speed;\r\nend","test_suite":"%%\r\nminRate=55;\r\nmaxRate=65;\r\nwheelDiam=26;\r\ntireHeight=0.5;\r\nspeed=20;\r\nratio_correct = [4.52707393683613 3.83060102347673];\r\nassert(max(abs(bicycleGearRatios(minRate,maxRate,wheelDiam,tireHeight,speed)-ratio_correct))\u003c1e-6);\r\n%%\r\nminRate=55;\r\nmaxRate=65;\r\nwheelDiam=26;\r\ntireHeight=0.5;\r\nspeed=30;\r\nratio_correct = [6.7906109052542  5.74590153521509];\r\nassert(max(abs(bicycleGearRatios(minRate,maxRate,wheelDiam,tireHeight,speed)-ratio_correct))\u003c1e-6);\r\n%%\r\nminRate=75;\r\nmaxRate=85;\r\nwheelDiam=26;\r\ntireHeight=0.5;\r\nspeed=30;\r\nratio_correct = [4.97978133051975 4.39392470339978];\r\nassert(max(abs(bicycleGearRatios(minRate,maxRate,wheelDiam,tireHeight,speed)-ratio_correct))\u003c1e-6);\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":2193,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":161,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-01-17T23:23:20.000Z","updated_at":"2026-03-30T16:14:57.000Z","published_at":"2013-01-17T23:49:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA cyclist (perhaps including our famed Codysolver the cyclist \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e) operates a bicycle most efficiently when turning the pedals at a specific rotational rate. it turns out that almost all real engines are most efficient in a limited range of rotation rates. You'll be given a minimum and a maximum cyclist pedaling rate in revolutions per minute (rpm). You get a wheel diameter in inches and the height of the compressed tire above the wheel in inches. You will be given a speed that the bicyclist wants to travel in miles per hour (mph). You need to compute the gear ratios required to allow the cyclist to travel at the pedaling rates from the input and provide it as a two element row vector.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":8,"title":"Add two numbers","description":"Given a and b, return the sum a+b in c.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 123.5px 8px; transform-origin: 123.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a and b, return the sum a+b in c.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = add_two_numbers(a,b)\r\n  c = 17;\r\nend","test_suite":"%%\r\nfiletext = fileread('add_two_numbers.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'if') || contains(filetext, 'switch'); \r\nassert(~illegal)\r\n\r\n%%\r\na = 1;\r\nb = 2;\r\nc_correct = 3;\r\nassert(isequal(add_two_numbers(a,b),c_correct))\r\n\r\n%%\r\na = 17;\r\nb = 2;\r\nc_correct = 19;\r\nassert(isequal(add_two_numbers(a,b),c_correct))\r\n\r\n\r\n%%\r\na = -5;\r\nb = 2;\r\nc_correct = -3;\r\nassert(isequal(add_two_numbers(a,b),c_correct))\r\n\r\n%%\r\na = randi(1e4);\r\nb = -a;\r\nassert(isequal(add_two_numbers(a,b),0))\r\n\r\n%%\r\na = randi(1e3);\r\nb = a;\r\nassert(isequal(add_two_numbers(a,b),2*a))\r\n","published":true,"deleted":false,"likes_count":306,"comments_count":84,"created_by":1,"edited_by":223089,"edited_at":"2022-12-19T10:49:35.000Z","deleted_by":null,"deleted_at":null,"solvers_count":46843,"test_suite_updated_at":"2022-12-19T10:49:47.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:18.000Z","updated_at":"2026-04-05T10:29:11.000Z","published_at":"2012-01-18T01:00:18.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a and b, return the sum a+b in c.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1545,"title":"Return area of square","description":"Side of square=input=a\r\n\r\nArea=output=b","description_html":"\u003cp\u003eSide of square=input=a\u003c/p\u003e\u003cp\u003eArea=output=b\u003c/p\u003e","function_template":"function b = area_square(a)\r\n  b = a;\r\nend","test_suite":"%%\r\nx = 0;\r\ny_correct = 0;\r\nassert(isequal(area_square(x),y_correct))\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(area_square(x),y_correct))\r\n%%\r\nx = 11;\r\ny_correct = 121;\r\nassert(isequal(area_square(x),y_correct))\r\n%%\r\nx = 101;\r\ny_correct = 10201;\r\nassert(isequal(area_square(x),y_correct))","published":true,"deleted":false,"likes_count":67,"comments_count":12,"created_by":14249,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18178,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-06-03T09:56:54.000Z","updated_at":"2026-04-05T08:25:50.000Z","published_at":"2013-06-03T09:56:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSide of square=input=a\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArea=output=b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45209,"title":"An Ohm's Law Calculator","description":"*BACKGROUND / MOTIVATION:*\r\n\r\nMany important observations in math and science can be described by short, but powerful, equations:\r\n \r\n * The Pythagorean Theorem (c^2 = a^2 + b^2)\r\n * Newton's Second Law of Motion (F = ma)\r\n * Einstein's Mass-Energy Equivalence (E = mc^2)\r\n\r\nFor electrical circuits, one of the most useful and important equations is:\r\n\r\n * Ohm's Law (V = IR)\r\n\r\nOhm's Law describes the relationship between voltage (V), current (I), and resistance (R) in electrical circuits.\r\n\r\nFor more information, check out: \u003chttps://www.build-electronic-circuits.com/ohms-law/\u003e\r\n\r\n*PROBLEM DESCRIPTION:*\r\n\r\nGiven the current (I) through a resistor with resistance (R), create a function that will return the voltage (V) across the resistor.\r\n","description_html":"\u003cp\u003e\u003cb\u003eBACKGROUND / MOTIVATION:\u003c/b\u003e\u003c/p\u003e\u003cp\u003eMany important observations in math and science can be described by short, but powerful, equations:\u003c/p\u003e\u003cpre\u003e * The Pythagorean Theorem (c^2 = a^2 + b^2)\r\n * Newton's Second Law of Motion (F = ma)\r\n * Einstein's Mass-Energy Equivalence (E = mc^2)\u003c/pre\u003e\u003cp\u003eFor electrical circuits, one of the most useful and important equations is:\u003c/p\u003e\u003cpre\u003e * Ohm's Law (V = IR)\u003c/pre\u003e\u003cp\u003eOhm's Law describes the relationship between voltage (V), current (I), and resistance (R) in electrical circuits.\u003c/p\u003e\u003cp\u003eFor more information, check out: \u003ca href = \"https://www.build-electronic-circuits.com/ohms-law/\"\u003ehttps://www.build-electronic-circuits.com/ohms-law/\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003ePROBLEM DESCRIPTION:\u003c/b\u003e\u003c/p\u003e\u003cp\u003eGiven the current (I) through a resistor with resistance (R), create a function that will return the voltage (V) across the resistor.\u003c/p\u003e","function_template":"function V = OhmsLaw(I,R)\r\n  V = 0; % modify this equation to use Ohm's Law\r\nend","test_suite":"%%\r\nI = 0.09; %90mA current\r\nR = 100; %100 Ohm resistor\r\nV_correct = 9; %9V voltage\r\nassert(isequal(OhmsLaw(I,R),V_correct))\r\n\r\n%%\r\nI = 0.012; %12mA current\r\nR = 1000; %1kOhm resistor\r\nV_correct = 12; %12V voltage\r\nassert(isequal(OhmsLaw(I,R),V_correct))","published":true,"deleted":false,"likes_count":12,"comments_count":1,"created_by":377536,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1860,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-20T14:14:50.000Z","updated_at":"2026-04-03T03:29:27.000Z","published_at":"2019-11-21T02:54:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBACKGROUND / MOTIVATION:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMany important observations in math and science can be described by short, but powerful, equations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ * The Pythagorean Theorem (c^2 = a^2 + b^2)\\n * Newton's Second Law of Motion (F = ma)\\n * Einstein's Mass-Energy Equivalence (E = mc^2)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor electrical circuits, one of the most useful and important equations is:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ * Ohm's Law (V = IR)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOhm's Law describes the relationship between voltage (V), current (I), and resistance (R) in electrical circuits.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor more information, check out:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.build-electronic-circuits.com/ohms-law/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://www.build-electronic-circuits.com/ohms-law/\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ePROBLEM DESCRIPTION:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the current (I) through a resistor with resistance (R), create a function that will return the voltage (V) across the resistor.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":55390,"title":"Force and Motion 3","description":"Two robots push on a large object in the same direction.  One robot pushes with a force of F1 Newtons and the other with a force of F2 Newtons.  Determine the Net force on the object.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 157px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78.5px; transform-origin: 407px 78.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTwo robots push on a large object in the same direction.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eOne robot pushes with a force of F1 Newtons and the other with a force of F2 Newtons.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDetermine the Net force on the object.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function N = netforce(F1, F2) % Do not edit this line.\r\n  % insert your code here\r\n  N =\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(netforce(10,30),40));\r\n%%\r\nassert(isequal(netforce(20,60),80));\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-08T18:45:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1489,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-08-31T13:49:45.000Z","updated_at":"2026-04-03T03:26:24.000Z","published_at":"2022-08-31T13:49:45.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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from Fahrenheit to Celsius","description":"Given an input vector F containing temperature values in Fahrenheit, return an output vector C that contains the values in Celsius using the formula:\r\nC = (F–32) * 5/9","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 36.5px; transform-origin: 407px 36.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.25px; text-align: left; transform-origin: 384px 21.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.5px 8px; transform-origin: 67.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an input vector\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 218px 8px; transform-origin: 218px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e containing temperature values in Fahrenheit, return an output vector\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86.5px 8px; transform-origin: 86.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that contains the values in Celsius using the formula:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.75px; text-align: left; transform-origin: 384px 10.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 64px 8.5px; transform-origin: 64px 8.5px; \"\u003eC = (F–32) * 5/9\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function C = temp_convert(F)\r\n  C = F;\r\nend","test_suite":"%%\r\nfiletext = fileread('temp_convert.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assignin') || ...\r\n          contains(filetext, 'switch') || contains(filetext, 'elseif'); \r\nassert(~illegal)\r\n%%\r\nF = [75 82 97 65];\r\nC_correct = [23.8889   27.7778   36.1111   18.3333];\r\nassert(all(abs(temp_convert(F) - C_correct) \u003c 1e-4))\r\n%%\r\nF = [];\r\nC_correct = [];\r\nassert(all(abs(temp_convert(F) - C_correct) \u003c 1e-4))\r\n%%\r\nF = [-1; 1200];\r\nC_correct = [-18.3333;648.8889];\r\nassert(all(abs(temp_convert(F) - C_correct) \u003c 1e-4))","published":true,"deleted":false,"likes_count":115,"comments_count":7,"created_by":162851,"edited_by":223089,"edited_at":"2023-02-03T09:23:29.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27967,"test_suite_updated_at":"2023-02-03T09:23:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-08-13T19:53:45.000Z","updated_at":"2026-04-05T11:17:43.000Z","published_at":"2019-08-29T18:16:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an input vector\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e containing temperature values in Fahrenheit, return an output vector\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that contains the values in Celsius using the formula:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC = (F–32) * 5/9\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":48905,"title":"Potential energy calculation","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the potential energy of an object with mass 'm' and height 'h'. Consider g=10 m/s^2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function PE = your_fcn_name(m,h)\r\n  y = x;\r\nend","test_suite":"%%\r\nm=10;\r\nh=10;\r\ny_correct = 1000;\r\nassert(isequal(your_fcn_name(m,h),y_correct))\r\n\r\n%%\r\nm=1;\r\nh=12;\r\ny_correct = 120;\r\nassert(isequal(your_fcn_name(m,h),y_correct))\r\n%%\r\nm=85;\r\nh=10;\r\ny_correct = 8500;\r\nassert(isequal(your_fcn_name(m,h),y_correct))\r\n","published":true,"deleted":false,"likes_count":15,"comments_count":0,"created_by":644918,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":3015,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-21T20:24:12.000Z","updated_at":"2026-04-04T04:01:58.000Z","published_at":"2020-12-21T20:24:12.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the potential energy of an object with mass 'm' and height 'h'. Consider g=10 m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55320,"title":"Force and Motion 2","description":"Two robots are pulling on an object in opposite directions. One robot pulls with a force of F1 Newtons and the other with a force of F2 Newtons.  Write a function that returns the net force N exerted on the object.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 160.667px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 80.3333px; transform-origin: 407px 80.3333px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTwo robots are pulling on an object in opposite directions. One robot pulls with a force of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Newtons and the other with a force of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Newtons.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWrite a function that returns the net force \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eexerted on the object.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 109.667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 54.8333px; text-align: left; transform-origin: 384px 54.8333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"534\" height=\"104\" style=\"vertical-align: baseline;width: 534px;height: 104px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function N = netforce(F1, F2) % Do not edit this line.\r\n  % insert your code here\r\n  N =\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(netforce(10,30),20));\r\n%% \r\nassert(isequal(netforce(20,60),40)); 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTwo robots are pulling on an object in opposite directions. One robot pulls with a force of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Newtons and the other with a force of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Newtons.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that returns the net force \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eexerted on the object.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"104\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"534\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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2 - START HERE","description":"Try out this test problem first.\r\n\r\nGiven the variable x as your input, multiply it by two and put the result in y.\r\n\r\nExamples:\r\n\r\n Input  x = 2\r\n Output y is 4\r\n\r\n Input  x = 17\r\n Output y is 34\r\n","description_html":"\u003cp\u003eTry out this test problem first.\u003c/p\u003e\u003cp\u003eGiven the variable x as your input, multiply it by two and put the result in y.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e Input  x = 2\r\n Output y is 4\u003c/pre\u003e\u003cpre\u003e Input  x = 17\r\n Output y is 34\u003c/pre\u003e","function_template":"function y = times2(x) % Do not edit this line.\r\n\r\n  % Modify the line below so that the output y is twice the incoming value x\r\n\r\n  y = x;\r\n\r\n  % After you modify the code, press the \"Submit\" button, and you're on your way.\r\n\r\nend % Do not edit this line.","test_suite":"%%\r\nassert(isequal(times2(1),2));\r\n\r\n%%\r\nassert(isequal(times2(11),22));\r\n\r\n%%\r\nassert(isequal(times2(-3),-6));\r\n\r\n%%\r\nassert(isequal(times2(29),58));","published":true,"deleted":false,"likes_count":2290,"comments_count":147,"created_by":1,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":114395,"test_suite_updated_at":"2012-01-25T22:41:49.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:16.000Z","updated_at":"2026-04-05T11:21:06.000Z","published_at":"2012-01-18T01:00:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTry out this test problem first.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the variable x as your input, multiply it by two and put the result in y.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  x = 2\\n Output y is 4\\n\\n Input  x = 17\\n Output y is 34]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":55610,"title":"Linear Motion 3","description":"Suppose a robot is moving in a straight line and steadily increases its speed.  It moves from v1 ft/s to v1+2 ft/s in the first second and v2 ft/s to v2+3 ft/s in the next second.  What is the total acceleration in ft/sec2? Round to the nearest tenth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.9px; transform-origin: 407px 75.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSuppose a robot is moving in a straight line and steadily increases its speed.  It moves from v1 ft/s to v1+2 ft/s in the first second and v2 ft/s to v2+3 ft/s in the next second.  What is the total acceleration in ft/sec2? Round to the nearest tenth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.4px; text-align: left; transform-origin: 384px 50.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"323\" height=\"95\" style=\"vertical-align: baseline;width: 323px;height: 95px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function a = findAccel3(v1) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findAccel3 (3.5),2.5));\r\n%%\r\nassert(isequal(findAccel3 (6.2),2.5));\r\n%%\r\nassert(isequal(findAccel3 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose a robot is moving in a straight line and steadily increases its speed.  It moves from v1 ft/s to v1+2 ft/s in the first second and v2 ft/s to v2+3 ft/s in the next second.  What is the total acceleration in ft/sec2? 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Motion 5","description":"A robot moving down an incline for 3 seconds undergoes a uniform acceleration of a ft/s2. If the robot has an initial velocity of v1 ft/s when it starts down, what is its final velocity (v2) at the bottom of the incline? Round to the nearest tenth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 146.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 73.25px; transform-origin: 407px 73.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 261px 8px; transform-origin: 261px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA robot moving down an incline for 3 seconds undergoes a uniform acceleration of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ea\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5px 8px; transform-origin: 15.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e ft/s2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.5px 8px; transform-origin: 81.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If the robot has an initial velocity of v1 ft/s when it starts down, what is its final velocity (v2) at the bottom of the incline? Round to the nearest tenth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 95.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 47.75px; text-align: left; transform-origin: 384px 47.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v2 = findVelocity(v1, a) % Do not edit this line.\r\n  % insert your code here\r\n   v2 =\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findVelocity(2,1.2),5.6));\r\n%%\r\nassert(isequal(findVelocity(5,2.3),11.9));\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":2,"created_by":542228,"edited_by":223089,"edited_at":"2022-09-11T09:45:01.000Z","deleted_by":null,"deleted_at":null,"solvers_count":387,"test_suite_updated_at":"2022-09-11T09:45:01.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-10T01:55:20.000Z","updated_at":"2026-04-01T23:20:04.000Z","published_at":"2022-09-10T01:58:18.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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If the robot has an initial velocity of v1 ft/s when it starts down, what is its final velocity (v2) at the bottom of the incline? 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in a lamp","description":"A lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being applied to the lamp? Round to 2 decimal places.\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 72px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 36px; transform-origin: 407px 36px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being applied to the lamp? Round to 2 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function V = findVoltage(R,P) % Do not edit this line.\r\n  % insert your code here\r\n  V = ?;\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findVoltage(45,80),60));\r\n%%\r\nassert(isequal(findVoltage(145,100),120.42));\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":3,"created_by":542228,"edited_by":223089,"edited_at":"2022-09-17T10:01:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":393,"test_suite_updated_at":"2022-09-17T09:59:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:26:15.000Z","updated_at":"2026-03-30T16:46:37.000Z","published_at":"2022-09-15T12:26:15.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being applied to the lamp? Round to 2 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55605,"title":"Linear Motion 2","description":"During testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain.  The testing takes place over a T hour period.  What was the average speed in km/hr of the test vehicle? Round to the nearest tenth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 141.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 70.9px; transform-origin: 407px 70.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDuring testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe testing takes place over a T hour period.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat was the average speed in km/hr of the test vehicle? Round to the nearest tenth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 90.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 45.4px; text-align: left; transform-origin: 384px 45.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findSpeed(24,4),6));\r\n%%\r\nassert(isequal(findSpeed(34,3),11.3));\r\n%%\r\nassert(isequal(findSpeed(20,8),2.5));\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:33:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":464,"test_suite_updated_at":"2022-10-11T18:33:34.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T19:21:21.000Z","updated_at":"2026-04-01T23:09:56.000Z","published_at":"2022-09-09T19:21:21.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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What is the acceleration of the robot to the nearest hundredth ft/sec2?\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 152px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 76px; transform-origin: 407px 76px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAn object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during the third second.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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rQgayak7jfVS9/CAr16cZ3nlmzxm+4xJk3m8Xh8NSYy3O0Nz3PNDhHoAJC/sNiTy3ByamjeIp0pVJTjs7THhpDRqVFBQlt7Df3eo18Irjrkdtx9rs3FJBWji4uE7cxv47Hx8a+9a6jYE7kqqxHm/LWi17eOKzP+NjVlxVYjzj69Fq960z/jY1fnPpZlKGiGNlF2er/KM3AfmI3Kjur7Y0ClDuUahSvnx94rdZ+LNr1VwI8Sj9kaJUoOJ2Wr2Q8fv1Cop9mn8I/XXNQxNdVFab3rpZWUVwOVfWjH+17oR99eZfKLNdi8U9rFp/EI/xSa46daN9b3Qj+XmXyizXYvFPavafxGP8Wmvppku3LcO/2Q/1Rpk+cyqbnfagWNu8fnr5rJABrn43rPqW4jjc1RvaVqJKh5eE7Hc8tvDb0VsWXZdUzJuNNpW4nW4/MaeXpOabvwOg/GPSPz1TrzkNosDbD94uUeGzIkNxG1vLCUqecOyEbnkCo8hv41oT6smpX3VL38ICvBes/wAuyuF9CMgzi5XaIpYWY0iWHEKUnmklPjtXbx0XxLe2cfE6uWklG34YS8DosFbgH01NWDei7mWb5PjMiJkcZ2TbbcpLFvury/PfA5KaO/8AdODbbtPH2J3IJrOIrXq9CWHqypSd2jvcPXWIpqpFWTI1i3V0BOT6fAf+MzD/ALtk1lKsXavn+yfT7+mJnybJrStP5OOjOOa3+rl8jOw3vo95OCrb2Rpz79zQd1K+ccsTWvz34s29RXAm41fbGpVKUfsj3emlQPj+CpjiayfPfiw4rgajdO8k9CzWwkkn6erZ3/yrbWVOqu9w7gH8/eflSTWK+nf7ivWz392z9dtrKnVXe4dwD+fvPypJr6R6Eu+juCb+HH5Gn4j3su820qVxYbSVEgAempqtjVCNKm6b5VDgsuvSX7LOaZaaSVLWtTCwlKQOZJJAAFbTFXaRjzlqxbK6mfFO+8pjv/7wf86m8uif5Uz/APIP+dc7k6e5jwj+19kPdz/geR8yo+p7mO31vsh+B5HzK2RZBRa/Mx/7/Jrjz2spWVCRvXlWpeL4ZcLNCv09Mdu9yFxWZO4LTbqUggOK38wK32CjyB2323q6krKhv6a5uXLHbrYuyVecZuNuD5LbRl291kOHbmlPEkcR2PsRzNbs6CWbP7Lp9Fh59JUp7feFHd3MiLG2HA28vfzlDwHekbJJJHLDzLK6eBpxnCopN8DLy7M6mNqyhOm42Mm1jrXj2jxvfBZD/vFisiDurHevHtHjf0/ZPlFitM0j2ZRiWupL5M76j7yPeeZRUN9lHvNR3VvvxH89Sq9kfw1GvmhUxNZy2zfizcYxXAm4lek1KSog+cr89KHuqixNZfrfiy2quBq105dz0d9flEkn6WMWHM/+7uVXeqL9yBB98V2+MRVC6cvudtfvexi3yu5Vd6or3IEH3xXb4xFfQ70XyctEsE5O71P5ZqOM9/I3WpSlb8YwpSlAQPMVhZf1384/F7P8S9WaF7hPm1jPINK8guWX3PLMezxdoN2YitSIzlpZlJ4mErSlSVKUCNwvmOfdy8a0D0laNYzSzIKmWYFr1knFq7stjuZWDrRoVVOW4UqmXTT/ADay22XeLprHHjQ4LDkmQ8vHGOFtpCSpaj9U7gkE/krUR3rDejw24pA6R95WEqICk6cqKVD0g8Xca8x+z5pT1qfmO65WodpudVKy32p3v+jZXxKq1E9cR6PH8Yq9/wBXKvnV9Y3Tx6O+VyG8WPSUurH0ZULf2junqm0I7b6nupZUQked3kbDvNZGD9AOk+HxEKs5U7RafOfQyJZrQcWtpgXrU/bPoB7zI3xzVdkNt/zmuQXW92tmxanaMWOO4txq2455Gha9uJSWpaEAnbluQmuvwA2/Ka9n0ouFOMX0JfI1x7WeC4WS0XUoF1tcSYG9+DyiOhwJ32324gdu6vJ9JmHf+VrP+gM/Nqt7CmwrlUpJWTKuEXtaKGcKxBW4+lWz8/8AMGvm1Q8R0hxPDsjvWVW+IldxvL6nC4W0pTGaIH1FpKRslO6dztzUe/uAq+NhTYd9SqlRK1yjo021JxVyRI4QE19KhsKjVEjlJVViPOPr0Wr3rTP+NjVlxXhWP8703u+T5PAymw5g5ZZcOA/blpNualNutOONub7LIKVBTY7j3GtQ07yTE6R5Bicswlteasr7FvT3mRhakaNVTluR46V5VaW6iJG51Zb7wOWNx/2lam5V079BcRyS54tcukjcXpdpluwpC4un5da7VtRSsJWFbKAUCNxy5V5U9nzSnrU/MzveVqHabeVEeyT/ACh+utLfXEejx/GMvf8AVyr51TJ6xDo878X/AEjL0OHmSdOV7D/aq8Ps+6UxkpXp7P3f0VebUe01760b63uhH8vMvlFmuxeKe1e0/iMf4tNchutit9mt+B9Hr6Xr+q+W2bbL/cotyUyGvK25TkKQHQgckg9ruB4DYV15xP2sWj8Qj/FJr2Xl2HlhcFRoT3xjFPvSSNek7ybRUlI4twef5Ko/0m4geasXtBJ5kmA1uT/q1W9hTYVmxbjuKOMXvRRDhmHnuxaz/oDPzat7NdGsKza1NWiTao0BlMtmS6qFHbadcS2rct8aQCkK7iRz27qvzYU2HdVo1Jxd0ykqNOas4o8VttMCzQo9utcRqLFitpZZZaQEoQhI2CQByAFexPPnUdhTYCqva7suko7ERrFur/tn0+/pmZ8myaylVkah4HPzY2aRbMjcss6yTVzGHxDbkpXxsOMqQpCyBtwukggg7gVr+lWW1s4ybE4DD216kHFX3XaOajNU6ik+go6e6o15fUs1EA56stjb/RuP+0rWrVzpd6R6KZ7ctNs36RUxF8tBQmazDwTylDK1ICwgrQrh4uFQJA7t68iez7pS/wBVPzf0d/yrQ7TZ+np/BWl3riPR4/jF3v8Aq5V86g6xDo8H/tGXv+rlXzqlfZ80p61Pzf0Hm1DtKv07vcV62e/u2frttZU6q73DuAfz95+VJNYb6X17xTMOray7UXC80cym2Zjfbbdk3BcAQiVidHjqb7HvRwGPwkHc7g1mTqrvcO4B/P3n5Uk16/0bwFXK8ow2Cr8+nCMXbilY1+rNTm5LpNtKlWOJO1TUruzjPlwbc9++nD9819NqbCjuyLLgUa7YpYb7crXdrtb2pUmyurfgqcBIZdUnhLgHdxAdx8NyRzqrpTwjh5VPUNhTa95CiltQrHevHtGj/wBP2X5QYrItWvqNh685xldgZu7lreMmNMYloYQ8W3WH0PI3QvzVAqQAQfA11ucYWpjcvrYalzpxkl3tWOWnJRmpMthY2Ufw1GvL6lmoyufqsNgnn7XI/wC0rAuvXSL0+6N+Tw8O1Q6QkiJeJsNM9EWJhKZSkMKUUpWsoWQniKVbAnfka8bv7P2lEndSp+Z/Q2FZrQXE2Eoe6tL/AFxHo8fxi73/AFcq+dUPXEejwTsOkXezvy29TlXzqj2e9KetT8zHK1DtLs6cvudtfh/oxi3yu5Vd6or3IML3xXb4xFY1111BwHWToF64aq4HqRIy1uS1aLJJL1m+hhhqjXFhwILR5kkSeLiJ22I27qyX1RfuQYXviu3xiK9ZaE5NiNH8hw2W4q2vTjZ22rezocRUVWq5x3M3VpSlbScIpSlAKgd/Co1YOe6rfSNmWJYeMRu10OVqmpEyIgKZheTtBwl3x2O/h3AE8+6gKzqRZLhkunmUY7akIVNullnQowWvhSXXWFoQCfAcShzrgcvq6umkklHqB33dJ2JEmJsSPR9W5/hrtVE6VuAPx7T2lryF5+7RLa4nyCzyJDAkz4gkxIyXShBLjqD5u6UgHkvs96qEPpLaUzbhZIcedLKL23DWX1xChuCuW6tmM1K4iFNOuPNONhOytlJ87hBBLcDiJ63X00vuB379Iiftqq2JdXb0zE5XZlSdDbxFZTcIxcfelREttJDqSVqPanYAbk8j3V39ShtQ3LaR+SoqbbAJ4E/moDkf1y3PWvSrbn/BD5//AHprrknu/Kf11qR0ssC0Lz7MW7zqfoiM3GntjYul0uJyOVb3LfAkSlBIjsMkJlOAsuuqSstgJQAFkq4a22T3d+/M0BNSlKAUpSgFKUoCBG9Q87uqalRYHzUCAPwj9dcFNVer16Yc/U3LZ1s0Tus+HKvk6RHlRpUUtPtLfWtC0Eug7FKgeYFd7lJChsal7JHikH8IqdwPz1et1dNL7gV+/SIn7ao+t2dNIAgaBX7mP8oiftq/Qp2Tf2ifzVZOruezNMsTOVQ8UN6aZlR2ZKBMRGDDTjqGy4VKCirYrGyUpO52BKRuoTcHKfrV8au+HaWdGDD78wlm6WLEZtunNpWFhD7Me2tuJChyOykkbiuveKe1i0/iMf4pNYu11xnQfK7ziFi1e0ttubXa4SJUWxRpNobmuMpAQqStJcIS2gANlXPc7DYHbl9oXSc0lDMyJbpE5QhNJ+hjEeEVqu6PKhCSIKEkl0eUKQ1zCfZpV7A8VQDMNKp2P3lGQWiNd24M6EmSjj8nnRlMSGjuQUrbVzSoEEeIPeCQQTUaAUpSgFKUoBUuxqalASKSpSSNvCuMHTg6DvSm1C6UufZzg2klxvlivk1qXCmxJMfgWjydtJBC3EqCgpKgQRXaKpC0lR4iBv8AgotgPz1et1dNH7gV+/SIn7anrdXTR+4Ffv0iJ+2r9CvZN/aJ/NVHymbfbZanH8Wx+HdrjxoS1HlzvImAkqAUtx7s3ClKU7qPChajtsBU3YOb2relWfaVdT/H03zmwPwMkgzYjkm3pIecZ7W9dqhJ7MkcXAtO4BO2+1bGdVtHkROhHgUaVHdZdRIvHEhxBSofwnJPMHn41lq3672E6TWDVK92e4QU5E8zEiW6LtJdekuuqbbQyvzErQsoKkOHgSpBSrlvtUsvpK6WWi/TrJebrKt/0PRJTIlyI57BEmNF8qfihQJUp9DG6ygJIPAtIJUkpqAZYpVv4hlyMvt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Motion 4","description":"A robot accelerates at a rate of A ft/s2.  Assuming the robot starts from rest how much time is required to reach an object located X ft away? Round to the nearest tenth of a second.\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.9px; transform-origin: 407px 75.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA robot accelerates at a rate of A ft/s\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAssuming the robot starts from rest how much time is required to reach an object located X ft away? Round to the nearest tenth of a second.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.4px; text-align: left; transform-origin: 384px 50.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function t = findTime (A,X) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this 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of Static friction","description":"The coefficient of static friction between two surfaces is u.  What force must be used to move a W lb. crate on a horizontal surface? Round to the nearest whole number.\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.9px; transform-origin: 407px 75.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe coefficient of static friction between two surfaces is u.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat force must be used to move a W lb. crate on a horizontal surface? Round to the nearest whole number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.4px; text-align: left; transform-origin: 384px 50.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"342\" height=\"95\" style=\"vertical-align: baseline;width: 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = findForce(u,W) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findForce(0.25,345),86));\r\n%%\r\nassert(isequal(findForce(0.33,300),99));\r\n%%\r\nassert(isequal(findForce(0.75,225),169));\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:32:00.000Z","deleted_by":null,"deleted_at":null,"solvers_count":333,"test_suite_updated_at":"2022-10-11T18:32:00.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T18:14:46.000Z","updated_at":"2026-04-01T23:06:10.000Z","published_at":"2022-09-09T18:14:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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of motion 6","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the force required to bring and object of mass 'm' moving with velocity 'v' to rest, in t seconds.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = your_fcn_name(m,v,t)\r\n  y = x;\r\nend","test_suite":"%%\r\nm=1;\r\nv=1;\r\nt=1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(m,v,t),y_correct))\r\n\r\n%%\r\nm=4;\r\nv=7;\r\nt=2;\r\ny_correct = 14;\r\nassert(isequal(your_fcn_name(m,v,t),y_correct))\r\n\r\n%%\r\nm=6;\r\nv=19;\r\nt=2;\r\ny_correct = 57;\r\nassert(isequal(your_fcn_name(m,v,t),y_correct))\r\n","published":true,"deleted":false,"likes_count":42,"comments_count":22,"created_by":644918,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":3375,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-21T17:21:03.000Z","updated_at":"2026-04-04T03:55:28.000Z","published_at":"2020-12-21T17:21:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the force required to bring and object of mass 'm' moving with velocity 'v' to rest, in t seconds.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55575,"title":"Calculate the acceleration of a crate","description":"What is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts in the opposite direction of the motion? The mass of the crate is m kg. Round the answer to the nearest hundredths.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.9px; transform-origin: 407px 75.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts in the opposite direction of the motion? The mass of the crate is m kg. Round the answer to the nearest hundredths.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.4px; text-align: left; transform-origin: 384px 50.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function a = findAccel(F1,F2,FR,m) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findAccel(85,52.5,45.5,175), 0.53));\r\n%%\r\nassert(isequal(findAccel(65.5,22.7,33.3,175), 0.31));\r\n%%\r\nassert(isequal(findAccel(125,77,55,200), 0.74));","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:30:06.000Z","deleted_by":null,"deleted_at":null,"solvers_count":363,"test_suite_updated_at":"2022-10-11T18:30:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T17:51:51.000Z","updated_at":"2026-03-30T16:16:56.000Z","published_at":"2022-09-09T17:51:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts in the opposite direction of the motion? The mass of the crate is m kg. Round the answer to the nearest hundredths.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"95\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"280\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55690,"title":"Basic Mathematics 6","description":"A High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground.  Their robot’s arm reaches over a storage bin that is L inches long.  How long must the arm be to reach the object? Round to 1 decimal place.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheir robot’s arm reaches over a storage bin that is L inches long.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eHow long must the arm be to reach the object? Round to 1 decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Reach = armReach(H,L) % Do not edit this line.\r\n  % insert your code here\r\n  Reach = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(armReach(18,28),33.3));\r\n%%\r\nassert(isequal(armReach(9,14),16.6));\r\n\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-13T17:28:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":325,"test_suite_updated_at":"2022-09-13T16:38:03.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-13T16:34:47.000Z","updated_at":"2026-03-30T16:38:39.000Z","published_at":"2022-09-13T16:38:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eTheir robot’s arm reaches over a storage bin that is L inches long.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eHow long must the arm be to reach the object? Round to 1 decimal place.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55750,"title":"Resistance of a robot","description":"What is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? Round to 1 decimal place.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? Round to 1 decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function V = findResistance(P,V) % Do not edit this line.\r\n  % insert your code here\r\n  R = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findResistance(240,120),60));\r\n%%\r\nassert(isequal(findResistance(300,15),0.8));\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":316,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:28:59.000Z","updated_at":"2026-03-30T16:45:26.000Z","published_at":"2022-09-15T12:28:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? Round to 1 decimal place.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55685,"title":"Basic Mathematics 5","description":"The total area of all four equal sections of the game field is N ft².  Each section has a rectangle of dimensions X ft x Y ft reserved for a hanging scoring rack.  There is also a scoring bin that takes up an area of 1ft x 1ft.  How much driving area does the robot have in each section? Round to 2 decimal places.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 173px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 86.5px; transform-origin: 407px 86.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe total area of all four equal sections of the game field is N ft².\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eEach section has a rectangle of dimensions X ft x Y ft reserved for a hanging scoring rack.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThere is also a scoring bin that takes up an area of 1ft x 1ft.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eHow much driving area does the robot have in each section? Round to 2 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 101px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.5px; text-align: left; transform-origin: 384px 50.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = findArea(N,X,Y) % Do not edit this line.\r\n  % insert your code here\r\n  N = ?;\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findArea(576, 2, 2),139));\r\n%%\r\nassert(isequal(findArea(333, 4, 4),66.25));\r\n%%\r\nassert(isequal(findArea(128.5, 4, 4),15.13));","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":310,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-13T16:30:44.000Z","updated_at":"2026-03-30T16:37:22.000Z","published_at":"2022-09-13T16:30:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe total area of all four equal sections of the game field is N ft².\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eEach section has a rectangle of dimensions X ft x Y ft reserved for a hanging scoring rack.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThere is also a scoring bin that takes up an area of 1ft x 1ft.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eHow much driving area does the robot have in each section? Round to 2 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"95\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"145\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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How far does it travel before stopping? Round to the nearest tenth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 147px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 73.5px; transform-origin: 407px 73.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAn experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? Round to the nearest tenth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 96px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 48px; text-align: left; transform-origin: 384px 48px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"\r\nfunction d = findDistance(v1, t) % Do not edit this line.\r\n  % insert your code here\r\n  d = ?;\r\nend % Do not edit this line.\r\n\r\n\r\n","test_suite":"%%\r\nassert(isequal(findDistance(22.5,2),22.5));\r\n%%\r\nassert(isequal(findDistance(33.3,3),50));","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":542228,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":360,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-10T02:04:42.000Z","updated_at":"2026-04-01T23:23:06.000Z","published_at":"2022-09-10T02:04:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? 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if a four bar mechanism is of Grashof type","description":"A four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other links. Grashof states that, in order that one of the link is a crank we have to satisfy s+l \u003c= p+q  ","description_html":"\u003cp\u003eA four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other links. Grashof states that, in order that one of the link is a crank we have to satisfy s+l \u0026lt;= p+q\u003c/p\u003e","function_template":"function y = Grashof(x)\r\n  y = true;\r\nend","test_suite":"%%\r\nx = [1 2 3 4];\r\ny_correct = true;\r\nassert(isequal(Grashof(x),y_correct))\r\n\r\n%%\r\nx = [4 2 1 3];\r\ny_correct = true;\r\nassert(isequal(Grashof(x),y_correct))\r\n\r\n%%\r\nx = [2 3 4 6];\r\ny_correct = false;\r\nassert(isequal(Grashof(x),y_correct))\r\n\r\n%%\r\nx = [2 5 4 6];\r\ny_correct = true;\r\nassert(isequal(Grashof(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":120378,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":97,"test_suite_updated_at":"2017-03-19T09:41:37.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2017-03-11T09:06:17.000Z","updated_at":"2026-02-13T19:56:58.000Z","published_at":"2017-03-11T09:06:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other links. Grashof states that, in order that one of the link is a crank we have to satisfy s+l \u0026lt;= p+q\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":55635,"title":"Linear Motion 7","description":"A robot has a maximum rate of acceleration of a m/s2. If the robot starts from rest and reaches a velocity of v2 m/s. How far has the robot traveled during this period? Round to 2 places.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 147px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 73.5px; transform-origin: 407px 73.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA robot has a maximum rate of acceleration of a m/s\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. If the robot starts from rest and reaches a velocity of v2 m/s. How far has the robot traveled during this period? Round to 2 places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 96px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 48px; text-align: left; transform-origin: 384px 48px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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If the robot starts from rest and reaches a velocity of v2 m/s. How far has the robot traveled during this period? 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Mathematics 4","description":"Team #1 is in first place but only one point higher than Team #2.  The sum of their two scores is N. What are each team’s scores?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTeam #1 is in first place but only one point higher than Team #2.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe sum of their two scores is N. What are each team’s scores?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [team1, team2] = teamPoints(N) % Do not edit this line.\r\n  % insert your code here\r\n  team1 = ?;\r\n  team2=?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\n[team1, team2] = teamPoints(147);\r\nassert(isequal(team1,74),\"team1 points correct\");\r\nassert(isequal(team2,73), \"team2 points correct\");\r\n%%\r\n \r\n[team1, team2] = teamPoints(285);\r\nassert(isequal(team1,143), \"team1 points correct\");\r\nassert(isequal(team2,142), \"team2 points correct\");\r\n%%\r\n \r\n[team1, team2] = teamPoints(91);\r\nassert(isequal(team1,46), \"team1 points correct\");\r\nassert(isequal(team2,45), \"team2 points correct\");\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-13T17:29:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":363,"test_suite_updated_at":"2022-09-13T17:29:44.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-13T15:38:54.000Z","updated_at":"2026-03-30T16:36:17.000Z","published_at":"2022-09-13T15:38:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTeam #1 is in first place but only one point higher than Team #2.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe sum of their two scores is N. What are each team’s scores?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55395,"title":" Resistance of a light bulb","description":"The current through two identical light bulbs connected in series is C Amperes.  The total voltage across both bulbs is V Volts.  Find the resistance R in a single light bulb.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 157px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78.5px; transform-origin: 407px 78.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe current through two identical light bulbs connected in series is C Amperes.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe total voltage across both bulbs is V Volts.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the resistance R in a single light 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function R = findRes(C,V) % Do not edit this line.\r\n  % insert your code here\r\n  \r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findRes (0.25,110),220));\r\n%%\r\nassert(isequal(findRes(0.2,20),50));","published":true,"deleted":false,"likes_count":6,"comments_count":3,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-08T18:46:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":923,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-08-31T14:38:51.000Z","updated_at":"2026-04-03T03:30:56.000Z","published_at":"2022-08-31T14:38:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml 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of Kinetic friction","description":"A robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed.  What is the coefficient of kinetic friction (to the nearest tenth) between the crate and the concrete floor?\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 156.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78.4px; transform-origin: 407px 78.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function u = findCoF(F1,W1) % Do not edit this line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findCoF(35,50),0.7));\r\n%%\r\nassert(isequal(findCoF(55,25),2.2));\r\n%%\r\nassert(isequal(findCoF(25,55),0.5));","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:28:03.000Z","deleted_by":null,"deleted_at":null,"solvers_count":359,"test_suite_updated_at":"2022-10-11T18:28:03.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T17:39:10.000Z","updated_at":"2026-03-30T16:15:59.000Z","published_at":"2022-09-09T17:39:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 276.5px 8px; transform-origin: 276.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which stand for the radius and height of a cake, calculate the surface area of the cake you need to put frosting on (all around the sides and the top).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.75px; text-align: left; transform-origin: 384px 10.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109.5px 8px; transform-origin: 109.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn the result in output variable\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8px 8px; transform-origin: 8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 8px 8.5px; transform-origin: 8px 8.5px; \"\u003eSA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function SA = func_frosting(r,h)\r\n  SA = r + h;\r\nend","test_suite":"%%\r\nfiletext = fileread('func_frosting.m');\r\nassert(isempty(strfind(filetext, 'regexp')))\r\nassert(isempty(strfind(filetext, 'else')))\r\nassert(isempty(strfind(filetext, 'switch')))\r\n\r\n%%\r\nr = 3;\r\nh = 2;\r\ny_correct = 65.9734;\r\nassert(abs(func_frosting(r,h) - y_correct) \u003c 1e-4)\r\n\r\n%%\r\nr = 1;\r\nh = 1;\r\ny_correct = 3*pi;\r\nassert(abs(func_frosting(r,h) - y_correct) \u003c 1e-4)\r\n\r\n%%\r\nr = 0.5;\r\nh = 0.25;\r\ny_correct = 1.5708;\r\nassert(abs(func_frosting(r,h) - y_correct) \u003c 1e-4)\r\n","published":true,"deleted":false,"likes_count":223,"comments_count":24,"created_by":162851,"edited_by":223089,"edited_at":"2022-07-06T08:49:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":29344,"test_suite_updated_at":"2022-07-06T08:49:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-08-13T19:36:28.000Z","updated_at":"2026-04-05T11:34:10.000Z","published_at":"2019-08-29T18:15:57.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven two input variables\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which stand for the radius and height of a cake, calculate the surface area of the cake you need to put frosting on (all around the sides and the top).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn the result in output variable\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55555,"title":"Find the force required to support a lever","description":"Students are designing a robot that will lift a block to the equilibrium position for transport to the scoring area. They have decided to use a lever to accomplish this. The lever below is composed of a WPlb. plank of length L hinged at the far-left end. The effort force FEis applied between the fulcrum and the WL lb. load. Determine the force required to support the lever in the equilibrium position. Assume the center of gravity of the plank is at the mid-point. Round to the nearest hundreds.\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 308.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 154.4px; transform-origin: 407px 154.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eStudents are designing a robot that will lift a block to the equilibrium position for transport to the scoring area. They have decided to use a lever to accomplish this. The lever below is composed of a W\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003elb. plank of length L hinged at the far-left end. The effort force F\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eE\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eis applied between the fulcrum and the W\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e lb. load. Determine the force required to support the lever in the equilibrium position. Assume the center of gravity of the plank is at the mid-point. Round to the nearest hundreds.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 164.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 82.4px; text-align: left; transform-origin: 384px 82.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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line.\r\n  % insert your code here\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(findFE(100,20,70,2,5), 7.14));\r\n%%\r\nassert(isequal(findFE(200,65,125,3.5,5),8.2));\r\n%%\r\nassert(isequal(findFE(175,35,100,4.2,7),13.48));\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:26:23.000Z","deleted_by":null,"deleted_at":null,"solvers_count":234,"test_suite_updated_at":"2022-10-11T18:26:23.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T15:18:58.000Z","updated_at":"2026-04-03T02:10:15.000Z","published_at":"2022-09-09T15:18:58.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" 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Round to the nearest hundreds.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"159\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"315\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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The second mentor is donating twice as much as the first mentor and dedicating their money towards PVC pipe.  The third mentor is donating $20 less than the second to wiring.  How much are you receiving from each mentor?\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThree generous robotics team mentors would jointly like to donate $N toward extra supplies. 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This combination is connected in series with a 4 ohm resistor.  What is the overall resistance of this combination in kilohms? Round to 2 decimal places.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.75px; transform-origin: 407px 75.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 242px 8px; transform-origin: 242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTwo resistors with values of 6.0 ohms and 12 ohms are connected in parallel.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138px 8px; transform-origin: 138px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis combination is connected in series with a 4 ohm resistor.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 278.5px 8px; transform-origin: 278.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the overall resistance of this combination in kilohms? Round to 2 decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50.25px; text-align: left; transform-origin: 384px 50.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 312px;height: 95px\" 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data-image-state=\"image-loaded\" width=\"312\" height=\"95\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function R = findRes(R1,R2,R3) % Do not edit this line.\r\n  % insert your code here\r\n  R = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findRes(60,120,40),0.08));\r\n%%\r\nassert(isequal(findRes(6200,2200,1200),2.82));\r\n%%\r\nassert(isequal(findRes(1e4,1e4,5e3),10));\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":542228,"edited_by":223089,"edited_at":"2022-10-11T08:28:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":348,"test_suite_updated_at":"2022-10-11T08:28:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:22:44.000Z","updated_at":"2026-03-30T16:47:46.000Z","published_at":"2022-09-15T12:22:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTwo resistors with values of 6.0 ohms and 12 ohms are connected in parallel.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThis combination is connected in series with a 4 ohm resistor.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the overall resistance of this combination in kilohms? Round to 2 decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"95\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"312\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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of Sliding Friction","description":"A weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = Ao with the horizontal, the mass just begins to slide.  What is the coefficient of sliding friction between the block and the surface? Round to the nearest hundredth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 153px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 76.5px; transform-origin: 407px 76.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = A\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eo\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e with the horizontal, the mass just begins to slide.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat is the coefficient of sliding friction between the block and the surface? Round to the nearest hundredth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 81px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 40.5px; text-align: left; transform-origin: 384px 40.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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The plane is gradually inclined until at an angle θ = A\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eo\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with the horizontal, the mass just begins to slide.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the coefficient of sliding friction between the block and the surface? 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Conversion ","description":"Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x*fast;\r\nend","test_suite":"%%\r\nx = 11;\r\ny_correct = 17.7027;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 45;\r\ny_correct = 72.4203;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 80;\r\ny_correct = 128.7472;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":10,"comments_count":8,"created_by":180632,"edited_by":26769,"edited_at":"2022-04-12T14:19:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1666,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T22:04:31.000Z","updated_at":"2026-04-03T03:28:00.000Z","published_at":"2020-12-22T22:04:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55670,"title":"Basic Mathematics 3","description":"It was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach balls.  The beach ball is worth ten more points than the cans.  The sum of twice the cans points plus three times the beach ball points, is N.\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 365px 8px; transform-origin: 365px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach balls.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171px 8px; transform-origin: 171px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe beach ball is worth ten more points than the cans.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 167px 8px; transform-origin: 167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe sum of twice the cans points plus three times the beach ball points, is N.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function points[cans,balls] = findPoints(N) % Do not edit this line.\r\n  % insert your code here\r\n  cans = ?\r\n  balls = ?\r\nend % Do not edit this line.\r\n\r\n","test_suite":"%%\r\n[cans, balls] = findPoints(55)\r\nassert(isequal(cans,5), \"right number of cans\");\r\nassert(isequal(balls,15), \"right number of balls\");\r\n%%\r\n[cans, balls] = findPoints(75)\r\nassert(isequal(cans,9), \"right number of cans\");\r\nassert(isequal(balls,19), \"right number of balls\");\r\n%%\r\n[cans, balls] = findPoints(35)\r\nassert(isequal(cans,1), \"right number of cans\");\r\nassert(isequal(balls,11), \"right number of balls\");\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":542228,"edited_by":223089,"edited_at":"2022-10-14T07:06:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":264,"test_suite_updated_at":"2022-09-13T17:30:46.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-13T14:47:10.000Z","updated_at":"2026-03-30T16:31:13.000Z","published_at":"2022-09-13T14:47:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach balls.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe beach ball is worth ten more points than the cans.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe sum of twice the cans points plus three times the beach ball points, is N.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49087,"title":"Energy Conversion 2","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 10.5px; transform-origin: 332px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven an energy in Joule, convert it to MeV (Mega Electron Volt).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x/1e-18;\r\nend","test_suite":"%%\r\nx = 100;\r\ny_correct = 6.242e14;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 222;\r\ny_correct = 1.386e15;\r\nassert(abs(convert_stuff(x)-y_correct)\u003c1e12)\r\n","published":true,"deleted":false,"likes_count":12,"comments_count":4,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1272,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T22:12:08.000Z","updated_at":"2026-04-03T03:34:45.000Z","published_at":"2020-12-22T22:12:08.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an energy in Joule, convert it to MeV (Mega Electron Volt).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55400,"title":"Calculate Parallel Resistance","description":"Three resistors connected in parallel have resistances R1, R 2, and R 3, respectively.  Return the total resistance R total  of the three resistors together to two decimal places?\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 144.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 72.25px; transform-origin: 407px 72.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 178px 8px; transform-origin: 178px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThree resistors connected in parallel have resistances R\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5px 8px; transform-origin: 5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eR\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6px 8px; transform-origin: 6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19px 8px; transform-origin: 19px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand R\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6px 8px; transform-origin: 6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39px 8px; transform-origin: 39px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003erespectively.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.5px 8px; transform-origin: 92.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn the total resistance R \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.5px 8px; transform-origin: 13.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003etotal\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 167px 8px; transform-origin: 167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof the three resistors together to two decimal places?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 93.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 46.75px; text-align: left; transform-origin: 384px 46.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Rtotal = findTotalRes(R1,R2,R3) % Do not edit this line.\r\n  % insert your code here\r\n  \r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findTotalRes(100,200,300),54.55));\r\n%%\r\nassert(isequal(findTotalRes(20,40,60),10.91));\r\n%%\r\nassert(isequal(findTotalRes(45,45,45),15));\r\n\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":1,"created_by":542228,"edited_by":223089,"edited_at":"2022-10-11T07:58:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":887,"test_suite_updated_at":"2022-10-11T07:58:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-08-31T15:14:42.000Z","updated_at":"2026-04-03T03:32:04.000Z","published_at":"2022-08-31T15:14:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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Diode Current Calculation","description":"In engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instances of that phenomenon. Sometimes it is more useful to use one equation in a set of circumstances, and another equation in a different set of circumstances. One example of this is with electrical diodes. A simplification of the approximation of the electrical characteristics of a diode uses these two simple equations:\r\n\r\ni = I_s * exp(v/V_T) for v \u003e V_T\r\n\r\ni = −I_s for v ≤ V_T\r\n\r\nWhere V_T = 0.026 Volts and I_S = 1*10-8 Amperes. Write a function with one input, the voltage v across this diode, and one output, the current i running through the diode. Use a conditional statement in writing this program.\r\n\r\n(Source: \u003chttps://drive.google.com/file/d/0B9G6VyQGUYhnc0JSZHVVUkN3dkk/view 14:440:127 – Introduction to Computers for Engineers – HW3\u003e)","description_html":"\u003cp\u003eIn engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instances of that phenomenon. Sometimes it is more useful to use one equation in a set of circumstances, and another equation in a different set of circumstances. One example of this is with electrical diodes. A simplification of the approximation of the electrical characteristics of a diode uses these two simple equations:\u003c/p\u003e\u003cp\u003ei = I_s * exp(v/V_T) for v \u0026gt; V_T\u003c/p\u003e\u003cp\u003ei = −I_s for v ≤ V_T\u003c/p\u003e\u003cp\u003eWhere V_T = 0.026 Volts and I_S = 1*10-8 Amperes. Write a function with one input, the voltage v across this diode, and one output, the current i running through the diode. Use a conditional statement in writing this program.\u003c/p\u003e\u003cp\u003e(Source: \u003ca href = \"https://drive.google.com/file/d/0B9G6VyQGUYhnc0JSZHVVUkN3dkk/view\"\u003e14:440:127 – Introduction to Computers for Engineers – HW3\u003c/a\u003e)\u003c/p\u003e","function_template":"function [i] = diode(v)\r\n  Is = 1*10^-8;\r\n  Vt = 0.026;\r\n  i = v;\r\nend","test_suite":"%%\r\nv = 0.2;\r\nIs = 1*10^-8;\r\nVt = 0.026;\r\ni_correct = Is*exp(v/Vt);\r\nassert(isequal(diode(v),i_correct))\r\n\r\n%%\r\nv = 0.7;\r\nIs = 1*10^-8;\r\nVt = 0.026;\r\ni_correct = Is*exp(v/Vt);\r\nassert(isequal(diode(v),i_correct))\r\n\r\n%%\r\nv = 0.026;\r\nIs = 1*10^-8;\r\nVt = 0.026;\r\ni_correct = -Is;\r\nassert(isequal(diode(v),i_correct))\r\n\r\n%%\r\nv = -1;\r\nIs = 1*10^-8;\r\nVt = 0.026;\r\ni_correct = -Is;\r\nassert(isequal(diode(v),i_correct))","published":true,"deleted":false,"likes_count":8,"comments_count":6,"created_by":85443,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1136,"test_suite_updated_at":"2016-09-30T01:43:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-09-30T01:33:10.000Z","updated_at":"2026-04-03T03:30:14.000Z","published_at":"2016-09-30T01:43:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instances of that phenomenon. Sometimes it is more useful to use one equation in a set of circumstances, and another equation in a different set of circumstances. One example of this is with electrical diodes. A simplification of the approximation of the electrical characteristics of a diode uses these two simple equations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ei = I_s * exp(v/V_T) for v \u0026gt; V_T\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ei = −I_s for v ≤ V_T\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhere V_T = 0.026 Volts and I_S = 1*10-8 Amperes. Write a function with one input, the voltage v across this diode, and one output, the current i running through the diode. Use a conditional statement in writing this program.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e(Source:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://drive.google.com/file/d/0B9G6VyQGUYhnc0JSZHVVUkN3dkk/view\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e14:440:127 – Introduction to Computers for Engineers – HW3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":48685,"title":"Laws of motion 3","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the final velocity of an object with initial velocity 'u', acceleration 'a' and distance travelled 's'. Round to nearest number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v = your_fcn_name(u,a,s)\r\n  y = x;\r\nend","test_suite":"%%\r\nu=0;\r\na=1;\r\ns=1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(u,a,s),y_correct))\r\n\r\n%%\r\nu=0;\r\na=1;\r\ns=10;\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(u,a,s),y_correct))\r\n\r\n%%\r\nu=20;\r\na=2;\r\ns=10;\r\ny_correct = 21;\r\nassert(isequal(your_fcn_name(u,a,s),y_correct))\r\n\r\n%%\r\nu=0;\r\na=1;\r\ns=7;\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(u,a,s),y_correct))\r\n","published":true,"deleted":false,"likes_count":24,"comments_count":5,"created_by":644918,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":3285,"test_suite_updated_at":"2020-12-21T16:57:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-21T16:53:43.000Z","updated_at":"2026-04-04T03:59:26.000Z","published_at":"2020-12-21T16:53:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the final velocity of an object with initial velocity 'u', acceleration 'a' and distance travelled 's'. Round to nearest number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49057,"title":"Mass Conversion 1","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 246.5px 8px; transform-origin: 246.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a mass in kg, convert it into lbs. Use a conversion factor of 2.205 lbs/kg.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x+x+x+x;\r\nend","test_suite":"%%\r\nx = 10;\r\ny_correct = 22.05;\r\nassert(abs(convert_stuff(x) - y_correct) \u003c 1e-4)\r\n%%\r\nx = 11;\r\ny_correct = 24.255;\r\nassert(abs(convert_stuff(x) - y_correct) \u003c 1e-4)\r\n%%\r\nx = -3;\r\ny_correct = 'Cannot have a negative mass';\r\nassert(isequal(convert_stuff(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":12,"comments_count":5,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1569,"test_suite_updated_at":"2021-01-11T11:36:19.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T21:45:53.000Z","updated_at":"2026-04-03T03:36:37.000Z","published_at":"2020-12-22T21:45:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a mass in kg, convert it into lbs. Use a conversion factor of 2.205 lbs/kg.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55735,"title":"Calculate supply voltage and total current","description":"Three resistors are connected in series and each has a resistance in ohms. Resistor R2 has a voltage drop of ΔV2volts  Find the supply voltage Vt and the total current I (in mA) flowing through the circuit. Round to 1 decimal place.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 151px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.5px; transform-origin: 407px 75.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThree resistors are connected in series and each has a resistance in ohms. Resistor R2 has a voltage drop of ΔV\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003evolts\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the supply voltage Vt and the total current I (in mA) flowing through the circuit. Round to 1 decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 100px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 50px; text-align: left; transform-origin: 384px 50px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"471\" height=\"94\" style=\"vertical-align: baseline;width: 471px;height: 94px\" 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correct\");\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-15T14:32:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":250,"test_suite_updated_at":"2022-09-15T14:32:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:16:53.000Z","updated_at":"2026-03-30T16:48:51.000Z","published_at":"2022-09-15T12:19:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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Round to 1 decimal place.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function w = findWeight(W,L) % Do not edit this line.\r\n  % insert your code here\r\n  w = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(findWeight(20,18),1.4));\r\n%%\r\nassert(isequal(findWeight(15,15),0.7));","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":542228,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":320,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-12T12:55:45.000Z","updated_at":"2026-03-30T16:29:45.000Z","published_at":"2022-09-12T12:55:45.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weight will this base contribute to your robot? Round to 1 decimal place.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55540,"title":"Calculate load on arm 1","description":"A robot is designed with a motor directly attached at the pivot point of the lifting arm.  The L inch arm has a weight of W1 lbs. that is concentrated at its center of gravity which is located at CG inches from the fulcrum. Determine the maximum weight W2 that the arm can lift if the motor provides Tq in. lbs. of torque and the load is located at the right end of the arm. Round to the nearest hundredth.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 165.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 82.9px; transform-origin: 407px 82.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA robot is designed with a motor directly attached at the pivot point of the lifting arm.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe L inch arm has a weight of W1 lbs. that is concentrated at its center of gravity which is located at CG inches from the fulcrum. Determine the maximum weight W2 that the arm can lift if the motor provides Tq in. lbs. of torque and the load is located at the right end of the arm. Round to the nearest hundredth.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 72.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 36.4px; text-align: left; transform-origin: 384px 36.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Wload = calcLoad(Tq,L,CG,W1) % Do not edit this line.\r\n\r\n  % insert your code here\r\n  \r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nassert(isequal(calcLoad(9.5,12,6,0.5),0.54));\r\n%%\r\nassert(isequal(calcLoad(33,15,8,1),1.67));\r\n%%\r\nassert(isequal(calcLoad(25,22,11,1.2),0.54));\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:20:01.000Z","deleted_by":null,"deleted_at":null,"solvers_count":311,"test_suite_updated_at":"2022-10-11T18:20:01.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-08T17:25:32.000Z","updated_at":"2026-04-03T02:04:32.000Z","published_at":"2022-09-08T17:25:32.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA robot is designed with a motor directly attached at the pivot point of the lifting arm.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe L inch arm has a weight of W1 lbs. that is concentrated at its center of gravity which is located at CG inches from the fulcrum. Determine the maximum weight W2 that the arm can lift if the motor provides Tq in. lbs. of torque and the load is located at the right end of the arm. Round to the nearest hundredth.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"67\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"166\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.jpeg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.jpeg\",\"contentType\":\"image/jpeg\",\"content\":\"data:image/jpeg;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationsh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Numbers","description":"Triangle numbers are the sums of successive integers. So 6 is a triangle number because\r\n 6 = 1 + 2 + 3\r\nwhich can be displayed in a triangular shape like so\r\n      *\r\n     * *\r\n    * * *\r\nThus 6 = triangle(3). Given n, return t, the triangular number for n.\r\nExample:\r\n Input  n = 4\r\n Output t is 10","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 265.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 132.8px; transform-origin: 407px 132.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 282px 8px; transform-origin: 282px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangle numbers are the sums of successive integers. So 6 is a triangle number because\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 8.5px; tab-size: 4; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 6 = 1 + 2 + 3\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 162px 8px; transform-origin: 162px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhich can be displayed in a triangular shape like so\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e      *\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); 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\"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 32px 8.5px; tab-size: 4; transform-origin: 32px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     * *\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 36px 8.5px; tab-size: 4; transform-origin: 36px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    * * *\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 208.5px 8px; transform-origin: 208.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThus 6 = triangle(3). Given n, return t, the triangular number for n.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.5px 8px; transform-origin: 28.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20.4333px; transform-origin: 404px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; tab-size: 4; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; \"\u003en = 4\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 60px 8.5px; tab-size: 4; transform-origin: 60px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 28px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 28px 8.5px; \"\u003et is 10\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function t = triangle(n)\r\n t = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('triangle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'if') || contains(filetext, 'switch'); \r\nassert(~illegal)\r\n\r\n%%\r\nn = 1;\r\nt = 1;\r\nassert(isequal(triangle(n),t))\r\n\r\n%%\r\nn = 3;\r\nt = 6;\r\nassert(isequal(triangle(n),t))\r\n\r\n%%\r\nn = 5;\r\nt = 15;\r\nassert(isequal(triangle(n),t))\r\n\r\n%%\r\nn = 30;\r\nt = 465;\r\nassert(isequal(triangle(n),t))\r\n\r\n%%\r\nn = 30;\r\nt = 465;\r\nassert(isequal(triangle(n),t))","published":true,"deleted":false,"likes_count":143,"comments_count":27,"created_by":1,"edited_by":223089,"edited_at":"2022-12-21T10:26:58.000Z","deleted_by":null,"deleted_at":null,"solvers_count":30170,"test_suite_updated_at":"2022-12-21T10:26:58.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:17.000Z","updated_at":"2026-04-05T09:54:59.000Z","published_at":"2012-01-18T01:00:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangle numbers are the sums of successive integers. So 6 is a triangle number because\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ 6 = 1 + 2 + 3]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhich can be displayed in a triangular shape like so\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[      *\\n     * *\\n    * * *]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThus 6 = triangle(3). Given n, return t, the triangular number for n.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Input  n = 4\\n Output t is 10]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55550,"title":" Find the mass of a  rod","description":"Determine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram.  In the diagram L1, L2, L3 are distance from the left end of the rod, in the order specified (i.e, L3\u003eL2\u003eL1). Assume the center of gravity is at the midpoint of the rod. Find the mass to the nearest gram.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 154.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 77.4px; transform-origin: 407px 77.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDetermine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn the diagram L1, L2, L3 are distance from the left end of the rod, in the order specified (i.e, L3\u0026gt;L2\u0026gt;L1). Assume the center of gravity is at the midpoint of the rod. Find the mass to the nearest gram.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 82.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 41.4px; text-align: left; transform-origin: 384px 41.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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410));","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":542228,"edited_by":542228,"edited_at":"2022-10-11T18:23:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":260,"test_suite_updated_at":"2022-10-11T18:23:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-09T14:54:29.000Z","updated_at":"2026-04-03T02:09:04.000Z","published_at":"2022-09-09T14:57:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eIn the diagram L1, L2, L3 are distance from the left end of the rod, in the order specified (i.e, L3\u0026gt;L2\u0026gt;L1). Assume the center of gravity is at the midpoint of the rod. Find the mass to the nearest gram.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"77\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"252\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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Mathematics 1","description":"If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in direction (left or right) each second, what is the unobstructed distance required to the right or left of the robot to make the turn (i.e., the turn radius)? Round to 2 places\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 168px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 84px; transform-origin: 407px 84px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIf a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in direction (left or right) each second, what is the unobstructed distance required to the right or left of the robot to make the turn (i.e., the turn radius)? 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line.\r\n","test_suite":"%%\r\nassert(isequal(myRadius(2,20),5.73));\r\n%%\r\nassert(isequal(myRadius(3,20),8.59));\r\n%%\r\nassert(isequal(myRadius(4,30),7.64));","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":542228,"edited_by":542228,"edited_at":"2022-09-13T12:06:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":331,"test_suite_updated_at":"2022-09-12T12:42:35.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-12T12:38:53.000Z","updated_at":"2026-03-30T16:28:38.000Z","published_at":"2022-09-12T12:42:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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The base of the arm is Ya inches above the ground.If the robot were d ” to the left or right of its current position, how much longer (in inches) would the robot arm need to be? Express as the delta rounded to 2 places.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 304.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 152.25px; transform-origin: 408px 152.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.867px 8px; transform-origin: 379.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm is Ya inches above the ground.If the robot were d ” to the left or right of its current position, how much longer (in inches) would the robot arm need to be? Express as the delta rounded to 2 places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 232.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 116.25px; text-align: left; transform-origin: 385px 116.25px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"624\" height=\"227\" style=\"vertical-align: baseline;width: 624px;height: 227px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Delta = findDelta(X,Ya,Yg,d) % Do not edit this line.\r\n  % insert your code here\r\n  Delta = ?;\r\nend % Do not edit this line.\r\n","test_suite":"%%\r\nfiletext = fileread('findDelta.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assert');\r\nassert(~illegal)\r\n%%\r\nassert(isequal(findDelta(3,1,2,1),0.15));\r\n%%\r\nassert(isequal(findDelta(15,5,20,10),2.24));\r\n%%\r\nassert(isequal(findDelta(8,0,20,15),4.71));\r\n%%\r\nassert(isequal(findDelta(randi(10),randi(10),randi(10),0),0));\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":542228,"edited_by":223089,"edited_at":"2025-09-27T04:28:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":200,"test_suite_updated_at":"2025-09-27T04:28:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-15T12:33:49.000Z","updated_at":"2026-03-30T16:43:40.000Z","published_at":"2022-09-15T12:33:49.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm is Ya inches above the ground.If the robot were d ” to the left or right of its current position, how much longer (in inches) would the robot arm need to be? 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long do each of the stages of the rocket take to burn?","description":"A space rocket has 3 stages:\r\n\r\n- stage 1, s1;\r\n\r\n- stage 2, s2;\r\n\r\n- stage 3, s3.\r\n\r\nIf s1 burns 3 x as long as s2 which burns 2 x as long as s3 then how long did s3 burn if the total burn time was tt minutes? How long did s2 burn? s1?","description_html":"\u003cp\u003eA space rocket has 3 stages:\u003c/p\u003e\u003cp\u003e- stage 1, s1;\u003c/p\u003e\u003cp\u003e- stage 2, s2;\u003c/p\u003e\u003cp\u003e- stage 3, s3.\u003c/p\u003e\u003cp\u003eIf s1 burns 3 x as long as s2 which burns 2 x as long as s3 then how long did s3 burn if the total burn time was tt minutes? How long did s2 burn? s1?\u003c/p\u003e","function_template":"function s = rocketburntime(totaltime,r1,r2)\r\n  s=(s1,s2,s3);\r\nend","test_suite":"%% test #1\r\ntt=18; rate1=3; rate2=2;\r\ny_correct =[12,4,2];\r\nassert(isequal(rocketburntime(tt,rate1,rate2),y_correct))\r\n%% test #2\r\ntt=32; rate1=4; rate2=3;\r\ny_correct =[24,6,2];\r\nassert(isequal(rocketburntime(tt,rate1,rate2),y_correct))\r\n%% test #3\r\ntt=58; rate1=6; rate2=4;\r\ny_correct =[48,8,2];\r\nassert(isequal(rocketburntime(tt,rate1,rate2),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":4,"created_by":1103,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":462,"test_suite_updated_at":"2013-02-24T01:38:26.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-02-24T01:16:02.000Z","updated_at":"2026-04-03T03:39:40.000Z","published_at":"2013-02-24T01:38:26.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA space rocket has 3 stages:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- stage 1, s1;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- stage 2, s2;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- stage 3, s3.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf s1 burns 3 x as long as s2 which burns 2 x as long as s3 then how long did s3 burn if the total burn time was tt minutes? How long did s2 burn? s1?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2414,"title":"Mechanical Advantage of a Gear Train","description":"Calculate the mechanical advantage of a gear train.\r\n\r\nThe mechanical advantage of a gear couple is given by MA = T_o/T_i where T_x is the number of gear teeth on gear x, o=output, and i=input. For stacked gear couples the overall mechanical advantage is the product of the individual mechanical advantages.\r\n\r\nThe number of teeth in each gear are given in a 2 x n matrix where n = number of gear couples and the output gears are in the first row.\r\n\r\nExample: \r\n\r\n T_i1 = 5; T_o1 = 15;\r\n T_i2 = 8; T_o2 = 12;\r\n T_i3 = 6; T_o3 = 24;\r\n gears = [T_o1 T_o2 T_o3\r\n          T_i1 T_i2 T_i3]\r\n \r\n MA = (15/5)*(12/8)*(24/6) = 3*1.5*4 = 18\r\n","description_html":"\u003cp\u003eCalculate the mechanical advantage of a gear train.\u003c/p\u003e\u003cp\u003eThe mechanical advantage of a gear couple is given by MA = T_o/T_i where T_x is the number of gear teeth on gear x, o=output, and i=input. For stacked gear couples the overall mechanical advantage is the product of the individual mechanical advantages.\u003c/p\u003e\u003cp\u003eThe number of teeth in each gear are given in a 2 x n matrix where n = number of gear couples and the output gears are in the first row.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e T_i1 = 5; T_o1 = 15;\r\n T_i2 = 8; T_o2 = 12;\r\n T_i3 = 6; T_o3 = 24;\r\n gears = [T_o1 T_o2 T_o3\r\n          T_i1 T_i2 T_i3]\u003c/pre\u003e\u003cpre\u003e MA = (15/5)*(12/8)*(24/6) = 3*1.5*4 = 18\u003c/pre\u003e","function_template":"function MA = MA_gear_train(gears)\r\n MA = 1;\r\nend","test_suite":"%%\r\nT_i = 10; T_o = 25;\r\ngears = [T_o; T_i];\r\nassert(isequal(MA_gear_train(gears),2.5))\r\n\r\n%%\r\nT_i1 = 5; T_o1 = 15;\r\nT_i2 = 8; T_o2 = 12;\r\nT_i3 = 6; T_o3 = 24;\r\ngears = [T_o1 T_o2 T_o3; T_i1 T_i2 T_i3];\r\nassert(isequal(MA_gear_train(gears),18))\r\n\r\n%%\r\nT_i1 = 10; T_o1 = 15;\r\nT_i2 = 8; T_o2 = 12;\r\ngears = [T_o1 T_o2; T_i1 T_i2];\r\nassert(isequal(MA_gear_train(gears),2.25))\r\n\r\n%%\r\nT_i1 = 6; T_o1 = 15;\r\nT_i2 = 5; T_o2 = 15;\r\nT_i3 = 9; T_o3 = 27;\r\nT_i4 = 6; T_o4 = 15;\r\nT_i5 = 11; T_o5 = 22;\r\nT_i6 = 14; T_o6 = 21;\r\ngears = [T_o1 T_o2 T_o3 T_o4 T_o5 T_o6; T_i1 T_i2 T_i3 T_i4 T_i5 T_i6];\r\nassert(isequal(MA_gear_train(gears),168.75))\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":0,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":375,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-07-11T16:20:19.000Z","updated_at":"2026-04-03T02:02:37.000Z","published_at":"2014-07-11T16:20:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the mechanical advantage of a gear train.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe mechanical advantage of a gear couple is given by MA = T_o/T_i where T_x is the number of gear teeth on gear x, o=output, and i=input. For stacked gear couples the overall mechanical advantage is the product of the individual mechanical advantages.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number of teeth in each gear are given in a 2 x n matrix where n = number of gear couples and the output gears are in the first row.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ T_i1 = 5; T_o1 = 15;\\n T_i2 = 8; T_o2 = 12;\\n T_i3 = 6; T_o3 = 24;\\n gears = [T_o1 T_o2 T_o3\\n          T_i1 T_i2 T_i3]\\n\\n MA = (15/5)*(12/8)*(24/6) = 3*1.5*4 = 18]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":49067,"title":"Area Conversion 1","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 10.5px; transform-origin: 332px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven an area in ft^2, convert it to m^2.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x+area*2;\r\nend","test_suite":"%%\r\nx = 11;\r\ny_correct = 1.0219;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 336;\r\ny_correct = 31.2144;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 121;\r\ny_correct = 11.2409;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 12.5;\r\ny_correct = 1.1613;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":11,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1025,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T21:53:28.000Z","updated_at":"2026-04-03T03:38:42.000Z","published_at":"2020-12-22T21:53:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an area in ft^2, convert it to m^2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55535,"title":"Magnitude of Balancing Force","description":"A box weighing W1 pounds is placed where its center of mass is located d1 ft from the fulcrum. A balancing force is placed at the opposite end of an L ft plank, d2 ft from the fulcrum. The plank has a weight of W2. Find the magnitude of the balancing force to the nearest hundredth of a pound.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 218.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 109.25px; transform-origin: 407px 109.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA box weighing W1 pounds is placed where its center of mass is located d1 ft from the fulcrum. A balancing force is placed at the opposite end of an L ft plank, d2 ft from the fulcrum. The plank has a weight of W2. Find the magnitude of the balancing force to the nearest hundredth of a pound.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 146.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.25px; text-align: left; transform-origin: 384px 73.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 347px;height: 141px\" 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line.\r\n\r\n","test_suite":"%%\r\nassert(isequal(balanceforce(7,1.5,4.5,5,2),1.22));\r\n\r\n%%\r\nassert(isequal(balanceforce(2,0.2,1.5,13,5),0.07));\r\n\r\n%%\r\nassert(isequal(balanceforce(2,0.2,1.5,0,0),0));","published":true,"deleted":false,"likes_count":7,"comments_count":2,"created_by":542228,"edited_by":223089,"edited_at":"2022-10-12T10:26:17.000Z","deleted_by":null,"deleted_at":null,"solvers_count":267,"test_suite_updated_at":"2022-10-12T10:26:17.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-08T16:48:51.000Z","updated_at":"2026-04-03T03:40:29.000Z","published_at":"2022-09-08T16:48:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document 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A balancing force is placed at the opposite end of an L ft plank, d2 ft from the fulcrum. The plank has a weight of W2. Find the magnitude of the balancing force to the nearest hundredth of a pound.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"141\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"347\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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gear ratio does the cyclist need?","description":"A cyclist (perhaps including our famed Codysolver the cyclist \r\n\u003chttp://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\u003e) operates a bicycle most efficiently when turning the pedals at a specific rotational rate.  it turns out that almost all real engines are most efficient in a limited range of rotation rates.\r\nYou'll be given a minimum and a maximum cyclist pedaling rate in revolutions per minute (rpm).  You get a wheel diameter in inches and the height of the compressed tire above the wheel in inches.  You will be given a speed that the bicyclist wants to travel in miles per hour (mph).\r\nYou need to compute the gear ratios required to allow the cyclist to travel at the pedaling rates from the input and provide it as a two element row vector.","description_html":"\u003cp\u003eA cyclist (perhaps including our famed Codysolver the cyclist  \u003ca href=\"http://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\"\u003ehttp://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\u003c/a\u003e) operates a bicycle most efficiently when turning the pedals at a specific rotational rate.  it turns out that almost all real engines are most efficient in a limited range of rotation rates.\r\nYou'll be given a minimum and a maximum cyclist pedaling rate in revolutions per minute (rpm).  You get a wheel diameter in inches and the height of the compressed tire above the wheel in inches.  You will be given a speed that the bicyclist wants to travel in miles per hour (mph).\r\nYou need to compute the gear ratios required to allow the cyclist to travel at the pedaling rates from the input and provide it as a two element row vector.\u003c/p\u003e","function_template":"function gearRatios = bicycleGearRatios(minRate,maxRate,wheelDiam,tireHeight,speed)\r\n  gearRatios = speed;\r\nend","test_suite":"%%\r\nminRate=55;\r\nmaxRate=65;\r\nwheelDiam=26;\r\ntireHeight=0.5;\r\nspeed=20;\r\nratio_correct = [4.52707393683613 3.83060102347673];\r\nassert(max(abs(bicycleGearRatios(minRate,maxRate,wheelDiam,tireHeight,speed)-ratio_correct))\u003c1e-6);\r\n%%\r\nminRate=55;\r\nmaxRate=65;\r\nwheelDiam=26;\r\ntireHeight=0.5;\r\nspeed=30;\r\nratio_correct = [6.7906109052542  5.74590153521509];\r\nassert(max(abs(bicycleGearRatios(minRate,maxRate,wheelDiam,tireHeight,speed)-ratio_correct))\u003c1e-6);\r\n%%\r\nminRate=75;\r\nmaxRate=85;\r\nwheelDiam=26;\r\ntireHeight=0.5;\r\nspeed=30;\r\nratio_correct = [4.97978133051975 4.39392470339978];\r\nassert(max(abs(bicycleGearRatios(minRate,maxRate,wheelDiam,tireHeight,speed)-ratio_correct))\u003c1e-6);\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":2193,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":161,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-01-17T23:23:20.000Z","updated_at":"2026-03-30T16:14:57.000Z","published_at":"2013-01-17T23:49:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA cyclist (perhaps including our famed Codysolver the cyclist \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e) operates a bicycle most efficiently when turning the pedals at a specific rotational rate. it turns out that almost all real engines are most efficient in a limited range of rotation rates. You'll be given a minimum and a maximum cyclist pedaling rate in revolutions per minute (rpm). You get a wheel diameter in inches and the height of the compressed tire above the wheel in inches. You will be given a speed that the bicyclist wants to travel in miles per hour (mph). 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