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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 h2from the ground its velocity is u2

b

At a time 2T its velocity is u directed downwards

c

none of the above

d

At a time T its velocity is u

answer is C.

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Detailed Solution

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At height h/2,

v2−u2 = −2g(h/2​)

v2 = u2 − gh

Since final velocity at maximum height h is v= 0,

0 = u2−2gh 

v2 = u2 − u2/2
v=u/2

v = u − gt

At maximum  height, V=0

At time T, its velocity is 0

T = u/g​  ...................(1)

at time 2T, 

v = u − gt

v = u − g(2T) = u − g×2(gu​)    (from 1)

⇒v = −u

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