A bowler projects a 200-mm-diameter ball of mass 5 kg along an alley with a forward veloci...

A bowler projects a 200-mm-diameter ball of mass 5 kg along an alley with a forward velocity v0 of 5 m/s and a backspin ω0 of 9 rad/s. Knowing that the coefficient of kinetic friction between the ball and the alley is 0.10, determine (a) the time t1 at which the ball will start rolling without sliding, (b) the speed of the ball at time t1, (c) the distance the ball will have traveled at time t1.