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

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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Assume you are observing traffic in a single lane of a highway at a specific location. You measure the average headway and average spacing of passing vehicles as 3.2 seconds and 20 m, respectively. Calculate the flow, average speed, and density of the traffic stream in this lane.

A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Estimate the average vehicle spacing (ft/veh). Provide your answer to the nearest integer.

The primary elements of traffic flow are flow, density, and speed. Discuss with illustration the relationships between the three elements of a traffic flow.

For a national highway, the free mean velocity and jam density are 80 kmph and 45 Veh/km respectively. A student mistakenly takes the quadratic relation between the velocity and traffic density in Green-Shield model as shown below: V = All the symbols have the usual meaning. Find the magnitude of error in maximum capacity of the road in Veh/hr (upto two places after decimal)