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Question

The displacement-time graph of a moving object is shown in figure. Which of the following velocity-time graphs could represent the motion of the same body?

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 C
Think of the slope of the given displacement-time graph at different points and you would arrive at the correct answer. As the time increases slope of the graph positively decreases and reaches to zero. After that it again increases but with negative values. So we can conclude that as the time increases velocity decreases in a particular direction and reaches to zero. After that it will again increase in opposite direction as shown in figure below. Hence, the correct answer is option (c).

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