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 g2n2Juggler throws the ball into the air with ball having initial velocity =uAt the highest point of its path velocity will be zero as at maximum height velocity =0So final velocity v=0According to question juggler throws n balls each second.Time taken to reach highest position t=1nUsing equation of the motion we get:-v=u+at0=u−gn u=gnAlso, Distance travelled in t=1n secs:- H=ut−gt22H=gn2−g2n2Required height to which each ball rise, H=g2n2

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