First slide
Coefficient of restitution

Two spheres moving in opposite directions with velocities u1 and u2 collide will each other. If e is the coefficient of restitution, their distance of separation at time ‘t’ after collision is


v2v1u1u2=e      vel.ofseparationvel.ofapproachalong the line of impact

(v2 - v1) = e (u1 - u2)

Separation after time t,  (v2-v1)t = e(v1-v2)t

As v1 and v2 are opposite direction

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