So you haveOriginally Posted by tnkfub
To find its initial velocity is when , but not in the formula above because that is for distance, but in its derivative (because derivative of distance is speed),
thus the initial velocity is zero.
The car is at rest when it have no speed, thus, solving we factor only solution is because .
The total distance traveled is which is, 324.
The acceleration is the derivative of velocity thus,
, it is maximum when is as large as possible, that happens when and its acceleration is 30.