Q. A ball is dropped vertically downwards 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 speed varies with the height $h$ above the ground as

A) [image:3_image103.emf]
B) [image:3_image104.emf]
C) [image:3_image105.emf]
D) [image:3_image106.emf]
Explanation

(b) For downward motion.
$v^{2} = u^{2} + 2gh$
For upward motion,
$v^{2} = u^{2} - 2gh$
The graph will be parabolic in both case. But velocities will be opposite. But speed never be negative.
Hence, (b) is correct.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.