Applied Mechanics and Graphic Statics
The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

Half the original velocity in the same direction
Original velocity in the opposite direction
Original velocity in the same direction
Half the original velocity in the opposite direction

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Applied Mechanics and Graphic Statics
The phenomenon of collision of two elastic bodies takes place because bodies

Immediately after collision come momentarily to rest
All listed here
Tend to compress each other till they are compressed maximum possible
Attempt to regain its original shape due to their elasticities

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Applied Mechanics and Graphic Statics
‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

e = v₁ - v₂/u₂ - u₁
e = v₂ - v₁/u₁ - u₂
e = v₁ - v₂/u₂ + u₁
e = u₂ - u₁/v₁ - v₂

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