@troy132,
Ok good. So that is the Car 1 Frame of reference. The earth is moving backwards and the student isn't moving.
So how do we convert a velocity in the Student's frame to a velocity in the Earth Frame?
I think what I would do is convert all of the velocities from part to (i.e. "cart 2 at rest and cart 1 traveling from right to left at 0.33 m/s) from the Student's frame to the Earth's frame?
Do you want to give that a shot? I will tell you if you are correct or not.
After that you can use conservation of momentum to solve everything in the Earth's frame of reference.