Given a freeway flow study at a certain highway. The speed- density relationship is described in the given equation or relationship: V s = 58- 0.40k Determine the following: a. Free-flow speed and jam density b. Derive the equation describing flow and speed. c. Derive the equation describing flow and density. d. Determine the capacity of highway

4. The relation of the density (d) along a roadway to vehicle speed (s: km/h) is given as d = 50- s/2 Determine the flow (q)-speed (s) and flow (q)-density (d) relationships and draw the variations of density-speed, flow-speed and flow-density on. Show the maximum and minimum points on these graphs

Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. q=uk- Uff2 kj If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) 57 16 53 28 45 40 40 59 28 69 21 89 17 98 Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum volume maximum volume veh/mi veh/h

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