. Question 4 Let pl, ) denote the density of traffic (x is the distance along a road, and t is time), and suppose that t

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Question 4 Let Pl Denote The Density Of Traffic X Is The Distance Along A Road And T Is Time And Suppose That T 1 (23.63 KiB) Viewed 69 times

. Question 4 Let pl, ) denote the density of traffic (x is the distance along a road, and t is time), and suppose that traffic with density p moves with speed up). (i) Derive a conservation law for p. What is the density wave speed? (ii) By applying a conservation law across a shock (1.c., a region where the solution is discontinuous), derive the expression for the speed of a shock. (iii) If (p) = umas (1 show that the speed of a shock is dependent on the average of the densities on either side of the shock Pm (d) Use this to find the solution for p that corresponds to a traffic light turning red in the middle of an infinite line of traffic of density po