Terminal speed of skier A skier going down a slope of angle u below the horizontal i...

Terminal speed of skier A skier going down a slope of angle u below the horizontal is opposed by a turbulent drag force that the air exerts on the skier and by a kinetic friction force that the snow exerts on the skier. Show that the terminal speed is

where m is the coefficient of kinetic friction between the skis and the snow, r is the density of air, A is the skier’s frontal area, and C_D is the drag coefficient.