Understanding 2D Motion: Finding Speed on a Slope

[thewestbrew]

Homework Statement

A 42.5kg person is going down a hill sloped at 42.0 degrees. The coefficient of kinetic friction between the snow and skis is 0.180. How fast is the skier going 4.56 seconds after starting from rest?

Homework Equations

Is ffkmax equal to net force?

The Attempt at a Solution

coefficient of kinetic friction:.180 t=4.56 mass=42.5kh Angle=42 degrees Vo=0

I created a free body diagram.

I used (mg)(cos 42) to get total force going opposite of FN. I made that force equal to FN and plugged the number into the equation ffkmax=coefficient(.180)*FN(315.83).

Got 76.5N=ffkmax. Now I am not sure if i use fnet=ma or a motion equation.

 

[haruspex]

Is ffkmax equal to net force?

Which way does the frictional force point, up or down the slope? If it were the only force in that direction, which way would the skier move?