a body drops a coin from top of a tower ..coin takes "t" seconds to come down from the top of a tower ...calculate time taken to cover half the hieght of the tower

u = 0height of the tower is h.h = ut +12at2h = 0+gt22 --- (1)T is the time taken to cover the half height h2 =  uT+12aT2h2 =12gT2 h =gT2   --- (2)FROM (2) AAND (1) WE GETgT2  =gt22T = t2

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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
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