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Question

# A body is projected vertically upward with a velocity u. If it passes through a certain point during its upward motion after time t, then it will pass through the same point during its return journey further after time t in (Take G as acceleration due to gravity)

A
2ug
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B
2[ug+t]
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C
[ugt]
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D
2[ugt]
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Solution

## The correct option is D 2[ug−t]Time taken by the body for motion from A to B= t Now let time taken by the body for motion from A to C= T and let time taken by the body for motion from B to C=t'From equation of motion, we can write v=u+at⇒0=u-gT⇒T=ugSince, T=t+t'So, t'=T-t⇒t'=ug-tSo, now time taken for journey from B to C and again from C to B is 2t'=2(ug−t)

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