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**1. Homework Statement**

a student wearing a frictionless in-line skates on a horizontal surface is pushed by a friend with a constant force of 45N. How far must the student be pushed, starting from rest, so that her final kinetic energy is 352J?

**2. Homework Equations**

**3. The Attempt at a Solution**

KE=1/2MV^2

352=1/2*(45/9.81)*V^2

Vf=12.39 and Vi=0 since it starts from rest

Wnet=1/2MVf^2-1/2MVi^2

1/2*(45/9.81)*12.39^2=352.31

Wnet=FnetDCosX

352.31=45dcos0

d=7.83m

I just wanted to know if that was a correct way of solving it or did i make a mistake somewhere?

thx for the help.