What does the slope of a displacement-time graph represent? Can displacement-time sketch be parallel to the displacement axis? Give reason to your answer.

Q. What does the slope of a displacement-time graph represent? Can displacement-time sketch be parallel to the displacement axis? Give reason to your answer.
Ans. The slope of a displacement-time graph gives the velocity. The displacement-time graph can never be a straight line, parallel to the displacement axis because it would mean that the distance covered by the body in a certain direction is increasing without any increase in time, i.e., the velocity of the body is infinite which is impossible.

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