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Q.

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

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a

Its average velocity during the 12 s interval is 24/7 ms-1.

b

Its velocity for the first 3 s is uniform and is equal to 4 ms-1.

c

The body has a constant acceleration between t = 3 s and t = 8s.

d

The body has a uniform retardation from t = 8 s to t = 12 s.

answer is D.

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Detailed Solution

Displacement in 12s= Area under v−t graph =12×(12+5)4=34mVav= Displacement  Time =3412=176ms−1Hence, (a) is incorrect; (b) is incorrect because during first 3 s, velocity increases from 0 to 4 ms-1 option; (c) is incorrect, because in part AB velocity is constant.
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