Two particles, and , with masses and respectively are moving towards each other in opposite directions along the same straight line on a smooth horizontal plane. They collide directly. Immediately before the collision, the speed of is and the speed of is . Immediately after the collision, the speed of is halved and its direction of motion is reversed.
Find the speed of immediately after the collision.
State whether the direction of motion of is changed immediately after the collision.
Find the magnitude of the impulse exerted by on in the collision.
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