A ball is dropped vertically from `a` height `d` above the ground . It hits the ground and bounces up vertically to a height ` (d)//(2). Neglecting subsequent motion and air resistance , its velocity `v` varies with the height `h` above the ground as

Options

A.
B.
C.
D.

Answer

A

Explanation

For downward journey : `v^(2) = u^(2) + 2gh`
Therefore, the velocity will increase in downward (negative) direction. The shape of graph will be parabolic. For upward journey : `v^(2) = u^(2) - 2gh`
therefore, the velocity of the ball will become zero at the highest point. Again, the graph will be parabolic.
option (a) is correct