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Question

The figure shows the displacement-time graph of a body moving in a straight line. Which of the following shows the corresponding velocity-time graph?


A

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B

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C

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D

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Solution

The correct option is D


It follows from the figure, displacement increases linearly with time till t=5 s. Therefore, velocity is a positive constant from t=0 s to t=5 s.
From t=5 s to t=15 s, displacement remains constant. Therefore, velocity is zero during this interval.
From t=15 s to t=20 s, displacement decreases linearly with time. Therefore, the velocity is constant but negative in this time interval.


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