A skier starts from rest at the top of a frictionless ski slope of height H and inclined at an angle θ to the horizontal. At the bottom of the slope the surface changes to horizontal and has a coefficient of kinetic friction ¹k between the horizontal surface and the skis. Derive a formula for the distance d that the skier travels on the horizontal surface before coming to a stop. (Assume that there is a constant deceleration on the horizontal surface). Check that your answer has the correct units.