i don't understand why youre confused - i kept the initial velocities separate .. you have to add the KEi of a with the KEi of b .. because before the collision the two objects a and b are seperate, correct? If they're together that's a different story - maybe I don't understand?
Well, I...
To find the change in KE you use the formula KE = .5mv^2
so the KEi (initial) is .5*m,a*vi,a^2 + .5*m,b*vf,b^2
you do KE,f the same way but with the final velocities
then you do KEf - KEi
does this answer your question?