Two identical pucks collide on an air hockey table. One puck was originally at rest.

(a) If the incoming puck has a speed of 6.00 m/s and scatters to an angle of 30.0° ,what is the velocity (magnitude and direction) of the second puck? (You may use the result that θ₁ - θ₂ = 90° for elastic collisions of objects that have identical masses.) 

(b) Confirm that the collision is elastic.