A 0.18 kilogram billiard ball whose radius is 3.3 centimeter is given a sharp blow by a cue stick. The applied force is horizontal and the line of action of the force passes through the center of the ball. The speed of the ball just after the blow is 4.1 m/s and the coefficient of kinetic friction between the ball and the billiard table is 0.59.
(a) Obtain how long does the ball slide before it begins to roll without slipping?
s
(b) Determine how far does it slide?
m
(c) Calculate what is its speed once it begins rolling without slipping?
m/s