Final answer:
The total minimum distance a vehicle has traveled until it stops includes the reaction distance and braking distance, which can vary based on several factors such as road conditions and vehicle speed.
Step-by-step explanation:
The total minimum distance your vehicle has traveled until coming to a full stop, considering ideal conditions, involves both the reaction distance and the braking distance. The reaction distance is the distance covered from the moment the driver perceives a need to stop (such as seeing a light turn red) to the moment the driver actually applies the brakes, which, assuming a 0.500 s reaction time, is the distance a vehicle travels at its initial speed before deceleration begins. The braking distance, then, is the additional distance covered from when the brakes are applied to when the vehicle comes to a complete stop.
This distance can vary significantly depending on factors such as road conditions and vehicle speed. For example, driving a car at 50 mph and then applying brakes until it stops will result in a certain distance that needs to be recorded to determine the braking distance.