Given information
Given:
The final velocity of the ball is half of the initial velocity of the croquet ball, 
Let the first ball's mass be 
The initial velocity of the second croquet ball, 
Step-by-step explanation
Formula Used:
According to the law of conservation of momentum, the pre-collision impulse is the same as the post-collision impulse of an elastic collision.
According to the law conservation of energy, the potential energy before the collision is the same as the potential energy after the collision of the elastic collision and it is given by,
Where,
The mass of the first ball is 
.
The initial velocity of the first ball is 
.
The mass of the second ball is 
.
The initial velocity of the second ball is 
.
The final velocity of the first ball is 
.
The final velocity of the second ball is 
.
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Physics: Principles with Applications
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