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If u(1) and u(2) be the initial velocity...

If `u_(1)` and `u_(2)` be the initial velocity and `v_(1)` and `v_(2)` be the final velocities of the colliding partical then we define coefficient of restitution `e` as:
`e = (v_(1) - v_(2))/(u_(1) - u_(2))`
For perfectly inelastic collision 'e' is

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