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Question

Physics Question on speed and velocity

A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws n balls per second, the maximum height the balls can reach is

A

g/2n

B

g/n

C

2gn

D

g/2n2

Answer

g/2n2

Explanation

Solution

t=ug=1nt=\frac{u}{g}=\frac{1}{n}
Then,
u=gn\frac{g}{n}
Hmax=u22g=g2n2\frac{u^2}{2g}=\frac{g}{2n^2}
So, the correct option is (D): g/2n2