Question

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

• A. $\frac{u}{g}$
• B. $\frac{u^2}{2g}$
• C. $\frac{u^2}{g}$
• D. $\frac{u}{2g}$

Answer 1

The correct option is B $\frac{u^2}{2g}$

Given, initial velocity = u, height = h and a = g (acceleration due to gravity)

At the highest point, final velocity becomes zero i.e., v = 0

From, third equation of motion,

$v^2=u^2-2gh$

$0=u^2-2gh$

$u^2=2gh$

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