a. Draw trajectories of approximately 8 to 11 vehicles moving on a one way 1-lane road with different time-varying speeds. b. Consider a time-space window in the time-space diagram of part (a). See below. Denote the number of vehicles passing BD, DC, AC, and AB respectively as n1, N2, N3, and n4. Write an equation relating n₁, N2, N3, and n4 to each other. What is the physical intuition of this equation? Please elaborate. X 4 X. n4 n3 с n2 X1 D B n1 t c. Using density (k) definition at time instances t₁ and t₂ and flow (q) definition at locations X1 and X2, rewrite equation of interest in part (b) to demonstrate KAB-KCD 9BD-9AC + t₂-t1 x2-x1 = 0. d. What will be the equation in part (c), in case of x2 → x1 and t₂ → t₁.

a. Draw trajectories of approximately 8 to 11 vehicles moving on a one way 1-lane road with different time-varying speeds. b. Consider a time-space window in the time-space diagram of part (a). See below. Denote the number of vehicles passing BD, DC, AC, and AB respectively as n1, N2, N3, and n4. Write an equation relating n₁, N2, N3, and n4 to each other. What is the physical intuition of this equation? Please elaborate. X 4 X. n4 n3 с n2 X1 D B n1 t c. Using density (k) definition at time instances t₁ and t₂ and flow (q) definition at locations X1 and X2, rewrite equation of interest in part (b) to demonstrate KAB-KCD 9BD-9AC + t₂-t1 x2-x1 = 0. d. What will be the equation in part (c), in case of x2 → x1 and t₂ → t₁.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter3: Characteristics Of The Driver, The Pedestrian, The Bicyclist, The Vehicle, and The Road

Section: Chapter Questions

Problem 10P

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