A cue ball of radius r is initially at rest on a horizontal pool table (Figure). It is struck by a horizontal cue stick that delivers a force of magnitude P₀ for a very short time Δt. The stick strikes the ball at a point h above the ball’s point of contact with the table. Show that the ball’s initial angular velocity ω₀ is related to the initial linear velocity of its center of mass v₀ by ω₀ = 5v₀(h - r)/2r².