Resuelto

Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x? Image courtesy of Wikipedia.

21 días hace

Resuelto

Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

21 días hace

Resuelto

Simulate full-stop emergency braking scenario.
Emergency braking events demand rapid deceleration to bring the vehicle safely to rest. Given initial vehicle speed and constant...

21 días hace

Resuelto

Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...

21 días hace

Resuelto

Estimate brake disc temperature rise during braking.
During braking, kinetic energy is converted into thermal energy, causing brake discs to heat up. Excessive temperature rise can ...

21 días hace

Resuelto

Compute wheel slip ratio during braking.
During braking, a difference develops between the vehicle’s forward speed and the rotational speed of its wheels. This differenc...

21 días hace

Resuelto

Estimate dynamic load transfer to front axle during braking.
During braking, load shifts from the rear axle to the front axle. Given mass, deceleration, center of gravity height, and wheelb...

21 días hace

Resuelto

Estimate brake line pressure required for a given force.
Hydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydrau...

21 días hace

Resuelto

Compute the required brake torque at wheel to stop the car
Brake torque defines how effectively braking force translates into wheel deceleration. Given braking force and wheel radius, det...

21 días hace

Resuelto

Compute braking force using vehicle mass and acceleration.
Compute braking force required to stop a vehicle of mass 'm' and with acceleration 'a' Remember: F = m × a.

21 días hace

Resuelto

Compute vehicle stopping distance using initial speed and constant deceleration.
Given vehicle speed v (m/s) and constant deceleration a (m/s²), compute stopping distance Remember: d = v² / (2a)

21 días hace

Resuelto

Calculate area of sector
A=function(r,seta) r is radius of sector, seta is angle of sector, and A is its area. Area of sector A is defined as 0.5*(r^2...

21 días hace

Resuelto

Pizza!
Given a circular pizza with radius z and thickness a, return the pizza's volume. [ z is first input argument.] Non-scored bonus...

21 días hace

Resuelto

Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

21 días hace

Resuelto

Sum of series IX
What is the sum of the following sequence: Σ 1/k! for k=1...n for different n?

21 días hace

Resuelto

Sum of series VIII

21 días hace

Resuelto

Sum of series
a(n) = n^2 - (n-1)^2 find the summation of the series upto n i.e. a(1)+a(2)+...+a(n)

21 días hace

Resuelto

Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?

21 días hace

Resuelto

Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?

21 días hace

Resuelto

Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

21 días hace

Resuelto

Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

21 días hace

Resuelto

Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

21 días hace

Resuelto

Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?

21 días hace

Resuelto

Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1. Hint: use increment.

21 días hace

Resuelto

Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for: A = [ 1 5 8 ] then B = [ 1 1 5 ...

21 días hace

Resuelto

Create a vector
Create a vector from 0 to n by intervals of 2.

21 días hace

Resuelto

Flip the vector from right to left
Flip the vector from right to left. Examples x=[1:5], then y=[5 4 3 2 1] x=[1 4 6], then y=[6 4 1]; Request not to use d...

21 días hace

Resuelto

Whether the input is vector?
Given the input x, return 1 if x is vector or else 0.

21 días hace

Resuelto

Find max
Find the maximum value of a given vector or matrix.

21 días hace

Resuelto

Get the length of a given vector
Given a vector x, the output y should equal the length of x.

21 días hace