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

A particle's position is s=t3-9t2+24t. At what times is it momentarily at rest?

  1. t=1 and t=3
  2. t=3 only
  3. t=2 and t=6
  4. t=2 and t=4

Answer

D. t=2 and t=4

Solution

v=3t2-18t+24=3(t-2)(t-4)=0 t=2 or t=4.

More Rectilinear Motion: Velocity and Acceleration questions

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  3. A particle's velocity is v=t2-4t+3 m/s. Find its acceleration when its velocity is zero for the second time.
  4. A particle's position is s=t3-6t2+9t meters. Find the total distance traveled during the first 4 seconds.
  5. A ball is thrown upward so that its height is s=40t-5t2 meters. Find the maximum height.

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