Traffic flow Cars are crossing a bridge that is 1 mile long. Each car is 12 feet long

Chapter 2, Problem 2.5.82

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Traffic flow Cars are crossing a bridge that is 1 mile long. Each car is 12 feet long and is required to stay a distance of at least d feet from the car in front of it (see figure).(a) Show that the largest number of cars that can be on the bridge at one time is , where denotes the greatest integer function.(b) If the velocity of each car is v , show that the maximum traffic flow rate F (in ) is given by .

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