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Question

The position versus time graph below represents the motion of an object.

Which one of the four graphs below best represents the velocity versus time graph for this object?

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
Slope of x-t graph is velocity.
For the AB part of the graph, slope =0 (at rest), so v=0.

For the BC part of the graph, slope is ve (moving in x direction) so, v is ve.

For the CD part of the graph, slope =0 (again at rest), so v=0.

For the DE part of the graph, slope is +ve (moving in +x direction), so v is +ve.

Hence, the following velocity-time graph is correct.


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