Final answer:
The correct principle for the collision of two objects in motion is the Law of Conservation of Momentum, which is supported by Newton's first and third laws.
Step-by-step explanation:
When considering the interactions of two objects in motion that collide, the principle that best describes their interaction is B) the Law of Conservation of Momentum. This principle dictates that in the absence of external forces, the total momentum of a system (in this case, the two objects) remains constant before and after the collision. In the scenario where object A is moving and object B is initially at rest, and they collide, resulting in object A coming to rest and object B moving away, momentum is conserved; however, kinetic energy may not be because the collision may not be elastic. This is supported by Newton's first and third laws, which explain that the total momentum of an isolated system cannot change and that forces always occur in equal and opposite pairs.