Problem 2 [15 pts] A section of freeway has the following flow-density relationship: q = -0.5k² + 60k where q = flow rate in vph, k = density in vpm (1) Find the capacity of the freeway section. (2) Find the speed at capacity. (3) Find the density when the freeway is at one-quarter of its capacity.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
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Problem 2 [15 pts]
A section of freeway has the following flow-density relationship:
q = -0.5k² + 60k
where q = flow rate in vph, k = density in vpm
(1) Find the capacity of the freeway section.
(2) Find the speed at capacity.
(3) Find the density when the freeway is at one-quarter of its capacity.
Transcribed Image Text:Problem 2 [15 pts] A section of freeway has the following flow-density relationship: q = -0.5k² + 60k where q = flow rate in vph, k = density in vpm (1) Find the capacity of the freeway section. (2) Find the speed at capacity. (3) Find the density when the freeway is at one-quarter of its capacity.
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