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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 A 2 s
Area under at curve gives change in velocity.
From t=0 to t=2 seconds
Area under the at curve =10×2=20 m/s
Δv=v2v0=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 at curve = 10×2=20 m/s
Δv=v4v2=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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