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The acceleration time graph of a body is...


The acceleration time graph of a body is shown below the most probable velocity time graph of the body is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C
From given a-t graph it is clear that acceleration is increasing at constant rate
`(da)/(dt)=k` (constant)`impliesa=kt`(by integration)
`implies(dv)/(dt)=ktimpliesdvktdt`
`impliesintdv=kinttdtimpliesv=(kt^2)/(2)`
i.e., v is dependent on time parabolically and parabola is symmetric about v-axis. And suddenly acceleration becomes zero, i.e., velocity becomes constant.
Hence (c ) is most probable graph.
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