What is the coefficient of friction for a bumpy hill sled problem?

[kayjaydee]

Homework Statement

A sled with your physics teacher, having a combined mass of 125 kg, travels over a perfectly smooth icy hill.The hill is 11.0 m high and at the bottom of the hill, the sled is moving at 22.5 m/s. The center of a puddle, which is 0.60 m in diameter and covered in a thin layer of ice, is 24.84 m from the edge of the cliff. Does the teacher avoid the puddle and if yes by how much?

If the top of the hill was bumpy and the sled and teacher landed in the center of the puddle, determine the coefficient of friction between the top of the hill and the sled if the length of the hill top is 6.0 m.

Homework Equations

initial TME+Work=TME
KE= 1/2mv^2
potential grav. energy= mgh

The Attempt at a Solution

1/2(125)(22.5^2)=1/2(125)(22.5^2)+125(9.8)(11)

But I know that's not right at all :/

 

[Spinnor]

I can't easily picture the problem.

 

[sandy.bridge]

Yeah, is there a diagram? The first portion of the question doesn't indicate the location of the cliff relative to the hill.