First slide

Vertical projection from ground

Question

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

Moderate

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

Solution

T = u/g ,maximum height h = u2/2g
At a height h/2 from the ground,
$v^{2} = u^{2} - 2 g \frac{h}{2} = u^{2} - \frac{u^{2}}{2} = \frac{u^{2}}{2} \Rightarrow v = \frac{u}{\sqrt{2}}$

Time of flight $T_{1}$ = 2T, since air drag is zero, after time 2T, the body will strike the ground with velocity 'u'

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