A section of highway has a speed–flow relationship of the form q = au2 + bu, where q is the traffic flow in veh/h, u is the space-mean speed of traffic in mi/h, and a and b are unknown parameters. It is known that at capacity (which is 3100 veh/h) the spacemean speed of traffic is 28 mi/h. Determine the speed when the flow is 1500 veh/h and the free-flow speed.

A section of highway has a speed–flow relationship of the form q = au2 + bu, where q is the traffic flow in veh/h, u is the space-mean speed of traffic in mi/h, and a and b are unknown parameters. It is known that at capacity (which is 3100 veh/h) the spacemean speed of traffic is 28 mi/h. Determine the speed when the flow is 1500 veh/h and the free-flow speed.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter6: Fundamental Principles Of Traffic Flow

Section: Chapter Questions

Problem 13P

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A section of highway has a speed-flow relationship of the form q = au2 + bu. It is known that at capacity (which is 3100 veh/h) the space-mean speed of traffic is 28 mi/h. Determine the speed when the flow is 1500 veh/h and the free-flow speed.
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