What is the Length of the Ski Slope?

[mcryder16]

Homework Statement

A skier is gliding along at 3.12 m/s on horizontal, frictionless snow. He suddenly starts down a 16° incline. His speed at the bottom is 17.89 m/s.
What is the length of the incline?

Homework Equations

Not sure how to start this and formula to be used.

The Attempt at a Solution

 

[LowlyPion]

Homework Statement

A skier is gliding along at 3.12 m/s on horizontal, frictionless snow. He suddenly starts down a 16° incline. His speed at the bottom is 17.89 m/s.
What is the length of the incline?

Homework Equations

Not sure how to start this and formula to be used.

The Attempt at a Solution

See:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2

 

[Cyosis]

Put the start of the ramp at a height z=h and the end of the ramp at z=0. Now you can use energy conservation to determine the height. Knowing the height and angle of a right-angled triangle allows you to calculate the distance.

 

[LowlyPion]

Put the start of the ramp...

The OP needs to show some effort in order to help with solving.

 

[Maged]

I think the mass of the skier should be given to find the acceleration and solve.