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Question: A joker throws four balls in air at regular interval of time such that maximum height of each ball i...

A joker throws four balls in air at regular interval of time such that maximum height of each ball is 5 m. When the first ball leaves his hand, the positions of other three balls are –

A

15 m, 20 m, 15 m

B

3.75 m, 5 m, 3.75 m

C

1.25 m, 5 m, 1.25 m

D

2.5 m, 5 m, 2.5 m\

Answer

3.75 m, 5 m, 3.75 m

Explanation

Solution

Initial velocity of each ball, u = 2gH\sqrt{2gH} = 10 m/s

Time of flight of each ball, T = 2ug\frac{2u}{g} = 2s

Time interval between successive ball,

t = 24\frac{2}{4} = 0.5 s

 h = ut –12\frac{1}{2} gt2

= 10 t – 5t2

 t = 0.5s, 1s, 1.5 s

h = 3.75 m, 5m, 3.75m