Q.

Acceleration time graph is shown in the figure for a particle moving along a straight line. The particle is initially at rest. Find the time instants when the particle comes to rest?

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a

t=0,1,2,3,4

b

t=0,2,4

c

t=1,3

d

None of these

answer is B.

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Detailed Solution

Particle comes to rest when sum of area under a – t curve is zero which happens at t = 0, 2, 4Area under vt graph gives change in velocityArea above time axis is taken as positive and area below time axis is negative.At time t=0,2,4 .. the change in velocity is zero.
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Acceleration time graph is shown in the figure for a particle moving along a straight line. The particle is initially at rest. Find the time instants when the particle comes to rest?