Question

Part Constants If a ve Expre According to a Scientific American article (May, 1990), current freeways can sustain about 2400 vehicles per lane per hour in smooth traffic flow at speed 95 km/h Above that figure the traffic flow becomes "turbulent" (stop-and-go)

Answer 1

A. With speed of 95km/hr and rate of 2400 vehicles per hour, the average distance between the front-ends of the two neighbouring vehicles is

$\frac{95km}{2400} = \frac{95000}{2400} = 39.58m=40m$

39. 5 2 m

The distance between the two cars i.e. the back end of one car and the front end of the other neighbouring car is

x= 39.88m - 4.7m = 34.88m

B. Given x = 9.1m

The distance between the front-ends of the two cars is 9.1m + 4.7m = 13.8m

The number of vehicles that can be carried at speed of 95km/hr in one hour is

$N = \frac{95km}{13.8m} = \frac{95000}{13.8} = 6884$