# 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$

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Here, initial velocity $=u$

Maximum height $=h$

At reaching the maximum height, the final velocity $v=0$

On substituting the above values in the equation of motion,

$v^2=u^2+2gh$

$0^2=u^2+2(-g)h$     [The motion of the object is vertically upward, so

$g$ will be negative]

Or $0=u^2-2gh$

Or $u^2=2gh$

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

So, option $(b)$ is correct.

Updated on 10-Oct-2022 13:28:32