Q.
A particle is projected vertically upwards from a point A on the ground. It takes time t1 to reach a point B, but it still continues to move up. If it takes further t2 time to reach the ground from point B, then height of point B from the ground is :
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a
12gt1+t22
b
gt1t2
c
18gt1+t22
d
12gt1t2
answer is D.
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Detailed Solution
If after t1 and t2 sec, it is at the same height, then time of flight T=2Ug=t1+t2 U=g2t1+t2At t1, displacement ‘h’h=−Ut1+12gt12Substituting value of ‘U’ h=12g t1t2