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Question

A body is thrown vertically upwards with velocity u. The greatest height h to which it will rise is;


A

u2 /g

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B

u/2g

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C

u/g

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D

u2 /2g

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Solution

The correct option is D

u2 /2g


Initial velocity = u m/s, final velocity = 0 , acceleration = - g

Let 'h' be the maximum height. Thus, applying kinematic equation, we get

v2 - u2 = 2 a h

or, 0 - u2 = 2 (-g) h

or, h = u2 / 2g


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