Suppose two balls A and B of masses m and km are moving in the same direction with speeds We can find the coefficient of restitution Conservation of momentum gives If k*(2) – (1) gives Because e <=1, we must have We have and
and respectively, where
respectively, where and 0
and 0  in terms of
in terms of and
and and use the expression for e to conditions on
and use the expression for e to conditions on and
and

 (1)
(1) is the coefficient of restitution between A and B, then
is the coefficient of restitution between A and B, then (2)
(2)

 hence
hence and
and