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Question

From the velocity-time graph, we can determine : (i) The displacement of the body in a certain time interval. (ii) The acceleration of the body at any instance. (iii) Both (a) and (b) (iv) None of these

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Answer

Both (a) and (b)

Reason — (i) Since, velocity x time = displacement, the area enclosed between the velocity-time sketch and X-axis (i.e., the time axis) gives the displacement of the body.

(ii) Since, acceleration is equal to the ratio of change in velocity and time taken, therefore the slope (or gradient) of the velocity-time sketch gives the acceleration.

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