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Question

A body is projected up with a speed 'u' and the time taken by it is T to reach the maximum height H . Pick out the correct statement

A
It reaches H/2 in T/2 sec
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B
It acquires velocity U/2 in T/2 sec
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C
Its velocity is U/2 at H/2 sec
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D
Same velocity at 2T
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Solution

The correct option is B It acquires velocity U/2 in T/2 sec

At maximum height velocity v=0.
We know that v-u+at,hence
0=u-gT u=gT
When v=u2, then
u2=ugtgt=u2gt=gT2t=T2
hence,at t=T2,it acquires velocity u2


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