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Question

# From the velocity- time graph of a particle moving in a straight line, one can conclude that

A
Its average velocity during the 12 s interval is 247ms1
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B
Its velocity for the first 3 s is uniform and is equal to 4 ms1
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C
The body has a non-zero constant acceleration between t=3 s and t=8 s
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D
The body has a uniform retardation from t=8 s to t=12 s
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Solution

## The correct option is D The body has a uniform retardation from t=8 s to t=12 sDisplacement in 12 s = area under v−t graph =12×(12+5)×4=34 m Vav=DisplacementTime=3412=176 ms−1 Hence (a) is incorrect. Option (b) is incorrect because during first 3 s velocity increases from 0 to 4 m/s Option (c) is incorrect, because in part AB, velocity is constant due to which acceleration becomes 0. From t=8 s to t=12 s, slope is negative due to which the body is having uniform retardation.

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