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 $$\displaystyle \dfrac{t}{2}$$ time after release will be

A
at H2 metres from ground
B
at H4 metres from ground
C
at 3H4 metres from the ground
D
at H6 metres from the ground

Solution

The correct option is C at $$\displaystyle \dfrac{3H}{4}$$ metres from the ground $$\displaystyle H=\dfrac{1}{2}gt^{2}$$ $$\text{At} \dfrac{t}{2}, s=\dfrac{1}{2}g(t/2)^{2}=\dfrac{1}{4}\left(\dfrac{1}{2}gt^{2}\right)$$ $$s=\dfrac{1}{4}H$$ $$\text{Therefore, the height from ground is given by,}$$ $$\displaystyle x=H-s=H-\dfrac{1}{4}H=\dfrac{3}{4}H$$ Physics

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