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The acceleration of Particle starting from rest and moving along a straight line is as shown. Other than at \( t=0 \) when is the velocity of the object equal to zero?

1. At \( t=3.5 s \)
2. During the interval from \( 1 s \) to 3 s
3. At \( t=5 s \)
4. At no other time on this graph

Correct answer: At no other time on this graph

Solution

Velocity is the time integral of acceleration, so it is zero again only if the net signed area under the acceleration curve from 0 to that time is zero. On this graph, the accumulated area never returns to zero after leaving t=0, so there is no later time when the velocity is zero.

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