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If juggler throws n balls each second then-
Final Velocity = v = 0
Initial Velocity = u
Time = 1/n seconds
0 = u - g*1/n
g/n = u
Now applying third equation of motion,
v2 = u2 - 2gH
0 = g/n * g / n - 2gH
-(g/n)2 = - 2gH
g2/n2 = 2gH
g/n2 = 2H
H = g/2n2
Now
n = 2
Then
H = g/8 = 10/8
H = 1.25 m
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