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Q.

A body is thrown vertically upwards from the top A of tower. It reaches the ground in t1 s. If it is thrown vertically downwards from A with the same speed it reaches the ground in t2 s. If it is allowed to fall freely from A, then the time it takes to reach the ground is given by

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a

t=t1+t22

b

t=t1-t22

c

t=t1t2

d

t=t1t2

answer is C.

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Detailed Solution

Taking downward direction as the positive direction,+h=-ur1+12gr12---(i) +h=mt2+12gt22 ---(ii)Multiplying Eq. (i) by t2 and Eq. (ii) by t1 and adding, we getht1+t2=12gt1t2t1+t2ofh=12gt1t2For free fall from rest, h=12gt2t2=t1t2 t=t1t2
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