Final answer:
The question relates to elastic and inelastic collisions in Physics, where elastic collisions conserve both momentum and kinetic energy, and inelastic collisions conserve momentum but not kinetic energy.
Step-by-step explanation:
The question asks about elastic rebound and elastic collisions in a Physics context. An elastic collision is a type of collision where the total kinetic energy of the system is conserved before and after the collision. This is in contrast to an inelastic collision where the objects stick together and kinetic energy is not conserved. When analyzing such collisions, conservation of momentum is always maintained. In the case of elastic collisions, not only is momentum conserved but kinetic energy is also conserved. To determine if a collision is elastic or inelastic, one must look at the velocities of the objects before and after the collision and see if kinetic energy is maintained (it will be equal before and after the collision). It is easier to analyze inelastic collisions mathematically because we do not need to consider the separate final velocities of the objects since they stick together. For elastic collisions, it's often more complex as we must consider individual velocities after the collision. Students must apply the principles of conservation of momentum and kinetic energy to solve for unknown quantities in collision problems.