A ball is dropped and its displacement vs time graph is as shown in the figure where displacement x is from the ground and all quantities are positive upwards.
a) Plot qualitatively velocity vs time graph
b) Plot qualitatively acceleration vs time graph
If we observe the graph we know that the displacement (x) is always positive. The velocity of the body keeps on increasing till the displacement becomes zero, after that the velocity decreases to zero in the opposite direction till the maximum value of x is reached, viz., smaller than earlier. When the body reaches towards x=0, the velocity increases and acceleration is in the downward direction. And when the body’s displacement is , i.e., the body moves upwards, the direction will be downwards and velocity will decrease, i.e., .
(a) Velocity time graph
(b) Acceleration time graph.