Question: In order to decelerate a car going 100 kph (== 28 m/s) to a safe stop without causing occupants to experience an extremely unpleasant deceleration

In order to decelerate a car going 100 kph (== 28 m/s) to a safe stop without causing occupants to experience an extremely unpleasant deceleration (5 m/s²) you need a distance of about 75 meters, and it takes about 4.6 seconds. If you are designing an automated car system to brake when it sees something that far ahead (75 meters is most of the distance of a US football field!), make some reasonable assumptions about how fast the decision needs to be made, and what size of problems 1000 runs of n³ algorithms can be solved.

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