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PLEASE EXPLAIN WHY THE VELOCITY OF A IS NEGATIVE. I know the answer to this problem,...

PLEASE EXPLAIN WHY THE VELOCITY OF A IS NEGATIVE. I know the answer to this problem, but I keep getting positive ten and not negative. That is literally my only problem in solving this problem. So the answers I keep getting are positive 10 and positive 5.

Question: Blocks A and B move toward each other along the x axis. A has a mass of 2.0 kg and a velocity of 10 m/s (in the positive. X direction); B has a mass of 3.0 kg and a velocity of -5.0 m/s (in the negative x direction). They suffer an elastic collision and go off along the x axis. After the collision the velocities of A and B, respectively, are:

a) -10 and +5.0 m/s (I know A is correct, but why is the ten negative? Please help!)

b) -8.0 and +7.0 m/s

c) -9.0 and +6.0 m/s

d) -5.0 and +10 m/s

My apologies if this is repetitive, but often my actual question ALWAYS gets overlooked. I really need help seeing why my sign of positive 10 is wrong in my method of this solution.

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