Answer:
That is an example of Newton's First Law of Motion, an object in motion will remain in motion unless acted on by another force. Even though the bus stopped quickly, the passenger's body was still in motion. Either a seatbelt or the seat in front of the passenger was the force that stopped the person's forward motion.
Newton's Second Law of Motion is at play here as well. F=ma or Force equals mass times acceleration.
You can also see Newton's Third Law of Motion at play as well. For every action there is an equal and opposite reaction. If the passenger is wearing a seatbelt, then when the bus comes to a stop the passenger pulls on the seatbelt and the seatbelt pulls on the passenger.