The primary principle to be aware of here is how motor and generators work. A motor has a source of electricity as input, and converts the energy using magnets to motion. A generator has motion as input and using magnets converts the energy to electricity.
These are actually the exact same thing, just opposite. The same motor, when operated in reverse, is a generator. This is how kinetic energy recovery works. The car is moving already, and by applying the brakes, some portion of the kinetic energy is captured by the motor and directed back to the batteries.
Regenerative braking is used on road cars and other road vehicles; I’m not sure if KERS is exactly the method used in all cases.
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