A body is thrown vertically upward with velocity u , greatest height h to which it will rise is,

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7. MOTION

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A body is thrown vertically upward with velocity $u$, the greatest height $h$ to which it will rise is,

A

$u/g$

B

$u^2/2g$

C

$u^2/g$

D

$u/2g$

Solution

The body that is thrown vertically upward with velocity $u$ will have final velocity $v =0$ at the greatest height $h$.

Substituting the given values in the third equation of motion, $v^{2}=u^{2}+2$ as we have $0=u^{2}-2 g h$. (taking $g$ in the upward direction)

$h=\frac{u^{2}}{2 g}$

Standard 9

Science

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