Billiard ball rotating and slipping

1. Nov 24, 2009

aldee11

. The problem statement, all variables and given/known data
A ball radius "a" and mass "m" initially spinning counterclockwise with angular speed w=-v0/a with a forward speed vo. The coefficient kinetic friction between the ball and the billiard table is Mu, [Given a,m,vo,mu]
Determine the work lost to friction while slipping using two methods (they should be equal)
W=-Ffs where s the distance ball slips not travels
W= delta Kt + delta Kr

2. Relevant equations
F=ma
Torque= I*alpha
W=v/r
V=vo+at
W=Wo+alpha*t

3. The attempt at a solution

I found a from equation F= ma where F=-Ff
Then plug in a to eq V=Vo+at

I also found alpha from eq Torque= I alpha
then plug in alpha to eq W=Wo+ alpha t

set V=RW i got T where the slipping becomes rolling without slipping.

The questions are
1. Can i use this t and plug it in to eq X=Xo+Vot+0.5at^2 to find The distance the ball SLIPS??
2. If i cant use that equation, then How can i find the distance the ball slips?
3. In finding W= delta Kt + delta Kr, Do I have to use final angular and forward speed that i found from previous calculation or Do i have to find them?