Q. A body, thrown upwards with some velocity, reaches the maximum height of $20m.$ Another body with double the mass thrown up, with double initial velocity will reach a maximum height of
A) $200\ m$
B) $16\ m$
C) $80\ m$
D) $40\ m$
Explanation
(c) Mass does not affect maximum height
$H = \frac{u^{2}}{2g} \Rightarrow H \propto u^{2},\ $So if velocity is doubled then height will become four times.i.e.$H = 20 \times 4 = 80m$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.