Question

A body is released from the top of the tower $H$ metre high. It takes $t$ seconds to reach the ground. Where is the body $t/2$ seconds after release

• A. At $H/2$ metres from the ground
• B. At $H/4$ metres from the ground
• C. At $\left(3/4\right)H$ metres from the ground
• D. At $H/6$ metres from the ground

Answer 1

Answer: (C)

At $\left(3/4\right)H$ metres from the ground

$s=\frac{1}{2}g{\left(\frac{t}{2}\right)}^2\Rightarrow s=\frac{1}{4}\frac{1}{2}g{t}^2=\frac{1}{4}H$
From bottom$\Rightarrow \frac{3H}{4}$