6. [In this question i and j are perpendicular unit vectors in a horizontal plane.] A smooth uniform sphere A has mass 0.2 kg and another smooth uniform sphere B, with the same radius as A, has mass 0.4 kg. The spheres are moving on a smooth horizontal surface when they collide obliquely. Immediately before the collision, the velocity of A is (3i + 2j) m s–1 and the velocity of B is (–4i – j) m s–1 At the instant of collision, the line joining the centres of the spheres is parallel to i The coefficient of restitution between the spheres is (a) Find the velocity of A immediately after the collision. (7) (b) Find the magnitude of the impulse received by A in the collision. (2) (c) Find, to the nearest degree, the size of the angle through which the direction of motion of A is deflected as a result of the collision. (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________