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Question

What conclusion will you draw about the state of motion if the displacement-time graph is parallel to the time-axis ?

A
Body is at rest
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B
Body is moving with constant speed
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C
Body is moving in a circle
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D
Body is moving with non uniform accelaration
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Solution

The correct option is A Body is at rest
The displacement-time graph parallel to the time axis indicates that the displacement of the body does not change with time which implies that the rate of change of displacement is zero. Since the rate of change of displacement of a body is equal to its velocity, therefore, zero rate of change implies that the velocity of the body is zero, i.e., the body is at rest.

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