Rectilinear Motion: Velocity and Acceleration — Engineering Board Exam Practice Questions

6 free engineering board exam reviewer questions on Rectilinear Motion: Velocity and Acceleration (Differential Calculus), each with the correct answer and a worked solution.

1. A particle's velocity is v=t2-4t+3 m/s. Find its acceleration when its velocity is zero for the second time.
2. A particle's position is s=t3-6t2+9t meters. Find the total distance traveled during the first 4 seconds.
3. A ball is thrown upward so that its height is s=40t-5t2 meters. Find the maximum height.
4. A particle's position is s=t3-9t2+24t. At what times is it momentarily at rest?
5. A particle's position is s=2t3-3t2+t meters. Find its acceleration at t=1 s.
6. A particle moves along a line with position s=t3-6t2+9t meters. Find its velocity at t=2 s.