Engineering Board Exam Reviewer · Rectilinear Motion: Velocity and Acceleration · hard

A particle's velocity is v=t2-4t+3 m/s. Find its acceleration when its velocity is zero for the second time.

  1. -2 m/s2
  2. 0 m/s2
  3. 2 m/s2
  4. 6 m/s2

Answer

C. 2 m/s2

Solution

v=(t-1)(t-3)=0 at t=1 and t=3, so the second time is t=3. a=dv/dt=2t-4=2 m/s2.

More Rectilinear Motion: Velocity and Acceleration questions

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

All Rectilinear Motion: Velocity and Acceleration questions