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I was wondering how one could know when velocity would be in the opposite direction in a momentum question.

For example, two skaters are skating together (as one) at the same speed.

Skater A pushes skater B and B moves at 13m/s. Find the speed of skater A.

I found it and it's the correct answer. But I assumed skater A would still be moving in the same direction as opposed to the opposite direction (after pushing).

So, logic?...