: The data shown below were obtained on a highway determine the value of "a" and "b" given the formula for Greenshield's Model. Also determine the maximum capacity and the jam density, optimum speed and density density, vpkm speed, kph 50 18 45 25 40 41 34 58 22 71 13 88 12 98 10 105 9. 110 8 125 5 135

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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