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

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

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

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