Question

A body drops a coin from top of a tower. Coin takes 't' seconds to come down from the top of the tower. Calculate time taken to cover half the height of the tower.​

Answer 1

Explanation:

let height of the tower = x m

here,

initial velocity, u =0

time = t sec

so,

x = ut + 1/2 at2

x = 0 + 1/2 at2

a = 2x /t2

at x/2 distance

x/2 = 0 + 1/2 * 2x / t2 * T2

T2 = x/2 * t2 /x

T2 = t2 /2

T = t / root 2

T = t * root 2 / root 2*root 2

T = (t/2) root 2 sec