A6 kg object (a), moving at 3 m/s, collides with a 6 kg object (b), which is at rest. after their collision, object a moves off in a direction 40 deg to the left of its original direction. object b moves off in a direction 50 deg to the right of object a's direction.

a. draw a vector diagram and determine the momenta of objects a and b following the collision
b. what is the velocity of each object after the collision