A ball A moving with a certain velocity collides, with another ball B of the same mass at rest. If the coefficient of restitution is e, the ratio of the velocities of A and B just after the collision is

m1u1+m2u2=m1v1+m2v2                mu1=m1v1+mv2                u1=v1+v2→ ……… (1)               e=v2−v1u1−0⇒eu1=v2−v1 …….(2)               Solving (1) and (2)               v1=1−e2                                  v2=1+e2                v1v2=1−e1+e