A ball is dropped and its displacement vs time graph is as shown in Fig. 2 (EP) .7 displacement (x) is from ground and all quantities are +ve upwards. (a) Plot qualitatively velocity vs time graph. (b) plot qualitatively acceleration vs time graph .

Explanation

It is clear from the graph that displacement x is positive throughout. Ball is dropped from a height and its velocity increases in downward direction due to gravity pull. In this condition v is negative but accleration of the ball is equal to accleration due to gravity i.e., `a = - g`
When ball rebounds in upward direction its velocity is positive but acceleration is `a = - g` .
(a) The velocity-time graph of the ball is shown in fig. (i)

(b) The acceleation-time graph of the ball is shown in fig.