A skier is gliding along at 5.0m/s on horizontal, frictionless snow. He suddenly starts down a 13 degrees incline. His speed at the bottom is 12m/s.

What is the length of the incline?
How long does it take him to reach the bottom?

1 answer

Conservation of energy and the speed at the bottom can be used to determine the vertical drop. Call it H. Calculate it.

The length of the incline is H/sin13.

Time to reach the bottom is
T = (length of incline)/(average speed)
= H/[(sin13)*6m/s)