KinematicsHard

Question

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

Options

A.at 3H/4 metre from the ground
B.at H/2 metre from the ground
C.at H/6 metre from the ground
D.at H/4 metre from the ground

Solution

Applying S = ut = gt2 for the Ist case
    H = gt2       .....(i)
Let H1 be the height after t/2 secs. So distance of fall + H = H1
    H - H1 =
⇒   H - H1 =gt2       .....(ii)
Dividing (i)and (ii),
   
⇒   4H - 4H1 = H ⇒ H1 = H

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