. The speed-density relationship of a highway is given as u = 100 -0.5k where, u = speed in km per hour, k = density in vehicles per km. The maximum flow (in vehicles per hour, round off to the nearest integer is)

1. (a) The following relationship between traffic speed and flow applies to a particular urban highway:- q = 192u - 44u In u where q = flow in veh/hr. u= speed in km/hr. Calculate the following:- (i) (iii) The mean speed when the highway flow is at maximum capacity The capacity of the highway The density at maximum flow capacity The space mean free speed The jam density (b) Plot diagrams to show the relationships between flow, speed and density given Question 1(a). Use these diagrams to describe what happens when flow changes from uncongested to congested along the highway.

Vehicle time headways and spacings were measured at a point along a highway, from a single lane, over the course of an hour. The average values were calculated as 4.3 s/veh for headway and 50 m/veh for spacing. Determine the density in veh/km ( round your snswe in 3 decimals)

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