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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
We know that the slope of the displacement-time graph gives us the velocity.
From t = 0 to 5 seconds:
The slope of the x-t graph is constant. Thus, in this time interval velocity remains constant.
From t = 5 to 15 seconds:
The slope of the x-t graph is zero. Thus, in this time interval velocity becomes zero.
From t = 15 to 20 seconds:
The slope of the x-t graph is constant but negative. Thus, in this time interval velocity remains constant but it will be negative.

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