physics confused like none other?

Question

Ball A, rolling west at 3.0 m/s has a mass of 1 kg. Ball B has a mass of 2 kg and is stationary. After colliding with ball B Ball A moves south at 2 m/s
Calculate the momentum and velocity of ball B after the collision

Answer 1

due to conservation of momentum, Ball B must have the same westward momentum that A had before the collision.
And it must have the NEGATIVE of the southward momentum that A has after the collision.
So B's westward velocity is half that of A before the collision (due to the 2-to-1 mass ratio): 1.5 m/s
and B's northward velocity is half of A's southward velocity after the collision: 1 m/s

Resultant velocity = sqrt(3.25) m/s in a direction north of west by an angle that is arctan (1/1.5) = 33.7 degrees