Work: Work is the transfer of energy that occurs when a force acts upon an object to cause displacement. It is related to change in kinetic energy because work done on an object can change its kinetic energy.
Power: Power measures how quickly work is done or how fast energy is transferred. It relates to change in kinetic energy because power can determine how quickly an object's kinetic energy changes.
Conservation of Energy: The principle that states that total mechanical energy (the sum of potential and kinetic energies) remains constant within a closed system. It connects with change in kinetic energy as any changes in one form of mechanical energy must be balanced by changes in another form, such as potential or kinetic energies.