Question

A body is released from the top of the tower of height $H$. It takes $t$ time to reach the ground. The position of body $\frac{t}{2}$ time after release will be

• A. at $\frac{H}{2}$ metres from ground
• B. at $\frac{H}{4}$ metres from ground
• C. at $\frac{3H}{4}$ metres from the ground
• D. at $\frac{H}{6}$ metres from the ground

Answer 1

The correct option is C at $\frac{3H}{4}$ metres from the ground

$H=\frac{1}{2}g{t}^2$

$\text{At}\frac{t}{2},s=\frac{1}{2}g(t/2{)}^2=\frac{1}{4}\left(\frac{1}{2}g{t}^2\right)$

$s=\frac{1}{4}H$

$\text{Therefore, the height from ground is given by,}$

$x=H-s=H-\frac{1}{4}H=\frac{3}{4}H$