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Traffic Flow Modelling? On a stretch of single-lane road with no entrances or exits the traffic density ρ(x,t) is a continuous function of distance x and time t, for all t > 0, and the traffic velocity ) u( ρ) is a function of density alone. Two alternative models are proposed to represent u: i)u = u_(SL)*(1- ρ^n/ρ^n_max ), where n is a postive constant ii) u = u_(SL)* In (ρ_max / ρ) Where u_SL represents the maximum speed limit on the road and p_max represents maximum density of traffic possible on the road(meaning bumper-to-bumper traffic) a)It is assumed that a model of the form giv

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