We consider a homogeneous freeway whose flow-density diagram is linear between the following break- points: k (veh/mile)

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We Consider A Homogeneous Freeway Whose Flow Density Diagram Is Linear Between The Following Break Points K Veh Mile 1 (100.03 KiB) Viewed 27 times

We consider a homogeneous freeway whose flow-density diagram is linear between the following break- points: k (veh/mile) 0 100 600 q (vph) 0 5000 0 Question 1 0 points possible (ungraded) At exactly 4:00 pm and when the freeway is flowing steadily at q = 4,000 vph, an incident that blocks 1/2 of the lanes occurs at mile x, 0 < x < 1. Determine as a function of x, and according to LWR theory, the exact time at which the drop in flow will be sensed at two detectors located at miles 0 (1st box) and 1 (2nd box). The answer is in the form 4:00:00 pm + "f(x)", where x is in [miles] and f(x) gives [mins]. Please enter only the part of "f(x)" in a mathematical form, e.g. if f (x) = 4x + 6x², you should type "4*x+6*x^2" The answer is in the form 4:00:00 pm + "f(x)", where x is in [miles] and f(x) gives [mins]. Please enter only the part of "f(x)" in a mathematical form, e.g. if f(x) = 4x + 6x², you should type "4*x+6*x^2" Original Version: Exercise 4.26 in "Problem Sets: Fundamentals Of Transportation And Traffic Operations" by Carlos F. Daganzo, ITS-UC Berkeley, 1998