Question

# A particle starts from rest at time t=0 and moves on a straight line with acceleration as plotted in figure. The speed of the a particle will be maximum at time

A
1 s
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B
2 s
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C
3 s
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D
4 s
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Solution

## The correct option is B 2 sArea under a−t curve gives change in velocity. From t=0 to t=2 seconds Area under the a−t curve =−10×2=−20 m/s ⇒Δv=v2−v0=−20 m/s ⇒v2=−20 m/s ( velocity is in negative direction) So, the body is speeding up from t=0 to t=2 s From t=2 to t=4 seconds Area under the the a−t curve = 10×2=20 m/s ⇒Δv=v4−v2=20 m/s ⇒v4=0 So, the body is speeding down from t=2 to t=4 seconds Hence, the maximum velocity of the particle is at t=2 s.

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