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Question

A ball is dropped and its displacement vs time graph is as shown figure. (Displacement 𝑥 is from ground and all quantities are +𝑣𝑒 upwards). Plot qualitatively acceleration vs time graph.

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Solution

Hint: Acceleration is slope of velocity-time curve.

As the ball is dropped from a height, it moves under gravity. Gravity always acts towards the center of earth. In this case it will be downwards so, acceleration will be equal to a=g.

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