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Q.

A body is thrown vertically upwards from the top ‘A’ of tower. It reaches ground in t1s. if it is thrown vertically downward from ‘A’ with same speed it reaches the ground in t2s if it is allowed to fall freely from ‘A’ , there the time it takes to reach the ground is given by

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a

t=t1+t22

b

t1=t1−t22

c

t=t1t2

d

t=t1t2

answer is C.

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Detailed Solution

h=−ut1+12gt12⇒ht2=−ut1t2+12gt12t2h=ut2+12gt22⇒ht1=ut1t2+12gt1t22Adding ; ht1+t2=12gt1t2t1+t2⇒h=12gt1+t2...........1For free fall h=12gt2...........2∴t=t1t2
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