A ball is dropped and its displacement versus time graph is as shown (Displacement x from the ground and all quantities are positive upwards).
(a) Plot qualitatively velocity versus time graph
(b) Plot qualitatively acceleration versus time graph
It is clear from the graph that displacement x is positive throughout. The ball is dropped from a height and its velocity increases in a downward direction due to gravity pull. In this condition vis negative but the acceleration of the bail is equal to the acceleration due to gravity i.e., a = - g. When the ball rebounds in an upward direction its velocity is positive but acceleration is a = -g
Step 2: Draw the v-t curve
(a) The velocity-time graph of the ball is shown in fig. (i).
Step 3: Draw the a-t curve
(b) The acceleration-time graph of the ball is shown in fig. (ii).
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