A stone thrown upward with a speed u from

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A stone thrown upward with a speed $u$ from the top of the tower reaches the ground with a velocity $3u$. The height of the tower is

A

$3{u^2}/g$

B

$4{u^2}/g$

C

$6{u^2}/g$

D

$9{u^2}/g$

A stone thrown upward with a speed $u$ from the top of the tower reaches the ground with a velocity $3u$. The height of the tower is

${v^2} = {u^2} + 2gh$ $ \Rightarrow {(3u)^2} = {( - u)^2} + 2gh \Rightarrow h = \frac{{4{u^2}}}{g}$