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Consider this year's US Speedskating Women's relay team. Caroline Hallisey is just finishing her lap, moving at 11.17 m/s, and runs into Alyson Dudek, who is at rest. If Caroline stops dead, how fast will Alyson move forward?

14.4167594178 m/s - Correct.

(Yes, you need to know their masses. Go look them up. If you can't find them after 10 minutes of searching, let me know. You should find that Caroline's mass is larger than Alyson's mass).

Caroline is 60.3kg - Correct.

Alyson is 46.72kg - Correct.

Suppose that Caroline is again moving at 11.17 m/s, and again preparing to push Alyson. This time, however, Caroline pushes Alyson forward as hard as she can during their brief encounter: Caroline exerts an average force 1200 N on Alyson over a duration of .75 seconds.

Now how fast does Alyson leave the starting line after the collision?

22.8264024752 m/s - Correct.

What is Caroline's velocity after the collision?

Here is where it goes to hell, I done this over 6 different ways and got it wrong, and because of that I really can't show work because it wouldn't really be going anywhere (I am at the point where I have no idea whats wrong). I tried to use the Conservation of momentum equations and it didn't work for me.

Can someone show me how to do this part step by step and give an answer (so after I solve I know if I'm agreeing with the right answer)

Thanks alot.