A particle A suffers an elastic collision particle B that is at rest initially. If their masses with a are the same, then after the collision. Therefore velocity along line of impact gets exchane and velocity perpendicular to line of impact remains unchanged
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The velocity of the system's center of mass does not change, as long as the system is closed. The system moves as if all the mass is concentrated at a single point. ... The final location will be at the weighted distance between the masses
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