Two particles, $$\(P\)$$ and $$\(Q\)$$, are moving towards each other in opposite directions along the same straight line when they collide directly. Immediately before the collision the speed of $$\(Q\)$$ is $$\(2 u\)$$. The mass of $$\(Q\)$$ is $$\(3 m\)$$ and the magnitude of the impulse exerted by $$\(P\)$$ on $$\(Q\)$$ in the collision is $$\(4 m u\)$$. Find (a) the speed of $$\(Q\)$$ immediately after the collision, (3) (b) the direction of motion of $$\(Q\)$$ immediately after the collision. (1)

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