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Question

The acceleration-time graph of a body is shown below


The most probable velocity time graph of the body is 


Your Answer
A
Your Answer
B
Correct Answer
C
Your Answer
D

Solution

The correct option is C
From given a-t graph acceleration is increasing at constant rate
dadt=k (constant)a=kt (by integration)

dvdt=ktdv=ktdtv=kt22

i.e. v is depending on time parabolically and parabola is symmetric about v axis. After a certain point, acceleration becomes zero i.e. velocity becomes constant.
Hence (c) is the most probable graph.

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