One more quick convervation of energy problem

[crimsonn]

Homework Statement

A skier leaves a slope with an initial speed of 5 m/s. Her speed at the bottom of the slope is 13 m/s. What is the height of the slope?

Homework Equations

PE= mgh
KE= 1/2mv^2

The Attempt at a Solution

PE + KE1 = KE2

PE=KE2-KE1

mgh = 1/2mv^2 -1/2mv^2

gh = 1/2v^2 -1/2v^2

h = 1/2mv^2 -1/2mv^2 / g

when I plug everything in, I get 14.9

the answer is 7.3


what am I doing wrong?

 

[Hootenanny]

h = 1/2mv^2 -1/2mv^2 / g

Where have these masses appeared from? If these masses are just a typo and you really used,

h = (v_i² - v_f²)/(2g)

Then you have simply plugged the numbers in wrong.