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Question

A juggler throws balls into air. He throws one when ever the previous one is at its highest point. If he throws n balls each second, the height to which each ball will rise is:

A
g2n2
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B
2gn2
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C
2gn
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D
g4n2
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Solution

The correct option is A g2n2
Juggler throws the ball into the air with ball having initial velocity =u
At the highest point of its path velocity will be zero as at maximum height velocity =0
So final velocity v=0
According to question juggler throws n balls each second.

Time taken to reach highest position t=1n
Using equation of the motion we get:-

v=u+at
0=ugn
u=gn
Also,
Distance travelled in t=1n secs:-
H=utgt22
H=gn2g2n2
Required height to which each ball rise, H=g2n2

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