The ultimate momentum is exactly the same as the initial momentum in an inelastic collision of an isolated system.
The total momentum of the two objects prior to the collision is equal to the total momentum of the two following the collision for an impact between object 1 and object 2 in an isolated system. In other words, the momentum obtained by item 2 equals the momentum lost by object 1. Two objects collide in an inelastic collision when they do not deflect away from one another. Since both objects had the same overall momentum prior to and during their impact, momentum was conserved. A system that is isolated from other systems has a constant total momentum, according to the law of conservation of momentum.
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