Consider two objects of masses m1 and m2 which are moving in the same direction. They are involved in collision. The velocities of the objects before collision is u1 and u2. The velocities of the objects after collision is v1 and v2. The conservation of momentum is governed by the equation

1
m1v1 + m2v2 = m1u1 + m2u2
2
m1u2 + m2u1 = m1v1 + m2v2
3
m1u1 + m2v2 = m1v1 + m2u2
4
m1v2 + m2u1 = m1v1 + m2u2

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