time displacement graph never be parallel to displacement axis
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Explanation:
The displacement-time graph can never be parallel to the displacement axis because such a line would mean that the distance covered by the body in a certain direction increases without any increase in time, which is not possible.
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the displacement-time sketch can never be a straight line or it can never be parallel to the displacement axis because if it happens ,it would mean that the distance covered by the boby in a specified direction is continuously increasing without taking anytime
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