A skier with a mass of 59 kg starts from rest and skis down an icy (frictionless) slope that has a length of 44 m at an angle of 32° with respect to the horizontal. At the bottom of the slope, the path levels out and becomes horizontal, the snow becomes less icy, and the skier begins to slow down, coming to rest in a distance of 135 m along the horizontal path.
(a) What is the speed of the skier at the bottom of the slope?
(b) What is the coefficient of kinetic friction between the skier and the horizontal surface?