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Q.

A body thrown vertically up with velocity u reaches the maximum height h after T seconds. Which of the following statements is true ?

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a

At a height h/2 from the ground its velocity is u/2

b

At a time T its velocity is u

c

At a time 2T its velocity is u directed downwards

d

none of the above

answer is C.

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Detailed Solution

T = u/g ,maximum height h = u2/2gAt a height h/2 from the ground, v2=u2-2gh2=u2-u22=u22⇒v=u2Time of flight T1= 2T, since air drag is zero, after time 2T, the body will strike the ground  with velocity 'u'
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