Assertion- 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-Reason- For unidirectional motion of a body- -displacement-distance-A- If both Assertion and Reason are correct and Reason is the correct explanation of Assertion-B- If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion-C- If Assertion is true but Reason is false-D- If Assertion is false but Reason is true-

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Assertion: A ...

Question

Assertion: 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.
Reason: For unidirectional motion of a body, |displacement|=distance.

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

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If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.

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If Assertion is true but Reason is false.

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If Assertion is false but Reason is true.

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Solution

The correct option is A If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
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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