Consider a billiard ball of radius r and mass m struck horizontally by the cue stick at height h with a force P, as depicted in the figure below. The moment of inertia of the ball is IG = 2 5 mr2. Assume the force from the cue stick is much larger than the friction force. a. Given h = 3.5 cm, the ball rolls without slipping, and the ball's angular velocity is ω = 8 rad/s after the impact, determine the radius of the ball and the linear velocity of the ball after the impact.