Final answer:
The question deals with the change in momentum during collisions, specifically elastic and inelastic collisions in a two-car system. The key concepts revolve around the principles of conservation of momentum and kinetic energy.
Step-by-step explanation:
The question is asking about the concept of momentum in physics and its change during a collision of two vehicles. Momentum is defined as the product of an object's mass and its velocity. When discussing collisions, there are two types: elastic and inelastic collisions. In an elastic collision, both momentum and kinetic energy are conserved. In an inelastic collision, momentum is conserved, but kinetic energy is not necessarily conserved.
For an elastic collision, the change in momentum of the system can be calculated by finding the difference in momentum before and after the collision for both cars. However, if the cars stick together in a completely inelastic collision, the change in momentum of the system would be zero, since the cars would move together with a common velocity after the collision.
In the scenarios provided, calculations would be based on the initial velocities of the cars, their masses, and the type of collision to determine the final velocities or the changes in momentum.