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Question

Statement 1: A body is moving along a straight line such that its velocity varies with time as shown in figure. Magnitude of displacement of the body from t=0 to t=12 s is the same as the distance travelled by it in the given time duration.


Statement 2: For unidirectional motion of a body, |displacement|=distance.

A
Statement-1 is True; Statement-2 is True; Statement -2 is a correct explanation for Statement-1.
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B
Statement-1 is True; Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.
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C
Statement-1 is True; Statement-2 is False.
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D
Statement-1 is False; Statement-2 is True
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Solution

The correct option is A Statement-1 is True; Statement-2 is True; Statement -2 is a correct explanation for Statement-1.
From the graph, it is clear that the particle is undergoing change in velocity during straight line motion but its direction of motion is not changing as it is always positive. Thus, the motion becomes unidirectional and |displacement|=distance.

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