Problem 55650. Basic Mathematics 1

Created by Tanya Kuruvilla

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<div 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; "><div 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; "><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style="">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</span></span></div><div 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; "><img class="imageNode" style="vertical-align: baseline" src="data:image/jpeg;base64,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" data-image-state="image-loaded"></div></div></div>

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Last Solution submitted on Sep 20, 2023

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2 Comments

Gergely Patay on 28 Oct 2022

Problem wording clearly suggests discrete changes in the heading ("make N degree changes in direction each second"), but the test suite contradicts this.

Christian Schröder on 10 Nov 2022

I concur with Gergely, the problem description is misleading. What is meant here is not that the robot is making a single, discrete N degree turn each second, but rather that it turns continuously while moving at a rate of N degrees per second.

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Problem 55650. Basic Mathematics 1

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