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Question

A body is thrown vertically upward with velocity $$u$$, the greatest height $$h$$ to which it will rise is,


A
ug
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B
u22g
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C
u2g
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D
u2g
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Solution

The correct option is B $$\dfrac{u^{2}}{2g}$$
Given, initial velocity = u, height = h and a = g (acceleration due to gravity)
At the highest point, final velocity becomes zero i.e., v = 0
From, third equation of motion,
$$v^2=u^2-2gh$$
$$0=u^2-2gh$$
$$u^2=2gh$$
$$h=\dfrac{u^2}{2g}$$

Physics

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