A curling rock of mass, m = 19.1 kg, travelling at 4.09 m/s to the right collides with an identical stationary rock. After the collision, the first rock is deflected at an angle of 38.3 degrees above the original direction and the second rock leaves at an angle of 51.7 degrees below the original direction of motion of the first rock. Determine the magnitude of the velocity of the second rock after the collision.

A curling rock of mass, m = 19.1 kg, travelling at 4.09 m/s to the right collides with an identical stationary rock. After the collision, the first rock is deflected at an angle of 38.3 degrees above the original direction and the second rock leaves at an angle of 51.7 degrees below the original direction of motion of the first rock. Determine the magnitude of the velocity of the second rock after the collision.