First slide

Release from certain height

Question

A body is released from the top of a tower. In the last second of its free fall from rest, it covers the lower half of the height of the tower. Then the time of flight of the body is

Moderate

A
4 sec
B

3.414 $2\sqrt{2}$ sec
C

2.414 sec
D

3 $\left( 2+\sqrt{2} \right)$ sec

Solution

h = $\frac{1}{2} g t^{2} . . . . . . . . . (1) a n d \frac{h}{2} = \frac{1}{2} g {(t - 1)}^{2} . . . . . . . . . . . . . . (2)$
Solving , t = $(2 + \sqrt{2}) s$ =3.414 s

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