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Question

A particle is thrown vertically upwards. It's velocity at half of the height is 10 m/s, then the maximum height attained by it will be:

A
10 m
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B
20 m
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C
15 m
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D
25 m
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Solution

The correct option is A 10 m
Let maximum height be H
From the formula, v2=u22gs
(10)2=u22gH2=u2gH.....(i)
For attaining maximum height, v=0
0=u22gHu2=2gH
Putting the value of u2 in equation (i),
100=2gHgH=gH
H=100g=10010=10 m

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