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Question

A Juggler throws balls into air. He throws one whenever the previous is at its highest point. If he throws n balls each second, the height to which each balls will rise is

A
g2n2
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B
gn2
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C
2g2n
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D
2g2n
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Solution

The correct option is A g2n2
Time taken by each ball to reach max height is
t=1n
At maximum height, v=0
So, from first equation of motion
v=u+at
0=ug1n
u=gn
Also, from third equation of motion, we get
v2=u2+2aHmax
0=g2n22gHmax
Hmax=g2n2
Hence, the height to which each balls will rise is
Hmax=g2n2

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