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.