A blue billiard ball (2kg) with initial speed 6m/s Collides with another red billiard ball (3kg) moving √2m/s in the same positive x-axis. After the collision, the first ball bounces off with speed √4m/s in a direction that makes an angle +30 with the original direction. The second ball bounces in a direction that makes an angle θ2 on the other side of the first ball’s original direction. Neglect friction. Use the x-y coordinate system shown.

(a) what’s the value of θ2?

(b) determine by mathematical whether the collision was elastic or inelastic