# Momentum:difference in final velocities

If the initial velocities of 2 particles are given, and the masses are equal, then is there some limit on what the final velocities can be?

m1v1i+m2v2i=m1v1F+m2v2F

(initial velocity of particle 2 is zero; v2i=0)

v1i=v1F+v2F

To clarify my question if particle 1 has an initial velocity of 50 m/s, then this equation says the final velocity of particle 1 could be -550 m/s, and then the final velocity of particle 2 would be 600 m/s, which are much larger then the initial velocity of particle 1. So is there some limit on what values the final velocities can have?