Question

A body thrown upwards with some velocity reaches the maximum height of $50 \,m$. Another body with double the mass thrown up with four times the initial velocity will reach a maximum height of:

• A. 600 m
• B. 200 m
• C. 800 m
• D. 100 m

Answer 1

Answer: (C)

$v^{2}=u^{2}-2 g s \Rightarrow 0=u^{2}-2 g s$
$u ^{2}=2 gs \Rightarrow u ^{2} \propto S$
Motion under gravity is independent of mass
$\frac{ u ^{2}}{16 u ^{2}}=\frac{50}{ h }$
$h =16 \times 50$
$h =800\, m$