A ball is dropped vertically from a height 
above the ground. It hits the ground and
bounces up vertically to a height 
. Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as
Text Solution
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When ball is dropped, initial velocity is zero, its velocity increases in its downward journey
and is given by 
at any distance 
from the point of release. When it hits the ground its velocity is 
. After hitting the ground its direction of motion reverses, it is again given by 
-2 gy. The ball now rises to 
, thus 
.
Graph between 
and 
in the upward as well as in downward direction is parabola, the direction of velocity being reversed after bouncing graph is correct choice.
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