Elastic Collisions in Two Dimensions: a Pool Player Is Attempting

Multiple Choice

Elastic collisions in two dimensions: A pool player is attempting a fancy shot. He hits the cue ball giving it a speed of 5.57 m/s and directs its center on a path tangent to the surface of the target ball having the same mass as the cue ball. After the collision (on a frictionless table) the initially-stationary ball moves with a speed of 4.82 m/s. After the collision, the new speed of the cue ball and the relative direction of the balls are closest to

A) 2.79 m/s, at 90° to each other.
B) 2.79 m/s, at 60° to each other.
C) 8.34 m/s, at 90° to each other.
D) 8.34 m/s, at 60° to each other.