Two particles A and B,are of equal mass,and moving towards each other,with speeds of 3m/sand 2m/s respectively and collide.Particle B then strikes a plane surface,which is perpendicular to its direction of motion and the rebounce.If the coefficient of restitution between the two particles is 1/2,and between B and the plane surface is 2/3;show that B collides with:
(a) A,a second later
(b) and find the velocity of both particles after this collision.