A body, thrown upwards with some velocity,

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A body, thrown upwards with some velocity, reaches the maximum height of $20\,m$. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of..........$m$

A

$200$

B

$16$

C

$80$

D

$40$

A body, thrown upwards with some velocity, reaches the maximum height of $20\,m$. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of..........$m$

Mass does not affect on 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. $H = 20 \times 4 = 80\,m$