Inelastic Collisions in Two Dimensions: a 1000-Kg Car Approaches an Intersection

Inelastic collisions in two dimensions: A 1000-kg car approaches an intersection traveling north at 20.0 m/s. A 1200-kg car approaches the same intersection traveling east at 22.0 m/s. The two cars collide at the intersection and lock together. Ignoring any external forces that act on the cars during the collision, what is the velocity of the cars immediately after the collision?

A) 29.7 m/s in a direction 47.7° east of north
B) 21.1 m/s in a direction 47.7° west of south
C) 15.1 m/s in a direction 52.8° east of north
D) 21.1 m/s in a direction 52.8° east of north
E) 21.1 m/s in a direction 47.7° east of north