Traffic on a section of an arterial road is flowing at a space mean speed of...

 

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Traffic on a section of an arterial road is flowing at a space mean speed of 45km/hr. The relationship between space mean speed and density of the traffic on the road section can be described using the following equation (where v represents space mean speed in km/hr and k represents the density in veh/km): v = 80(1-) 160 An octogenarian, travelling to an auto-show, turns onto the roadway at 9am, 4km from the beginning of the arterial road, driving at 25km/hr in a vintage Model T Ford. The vehicle impedes traffic; however, vehicles can pass the slow-moving vehicle resulting in an average space mean speed of 35km/hr upstream of the slow vehicle. The Model T Ford turns off onto a local road from the arterial road 5km after joining the traffic stream and at this point in time vehicles begin to move at the maximum flow rate. Use a space time-diagram and shockwave theory to describe this traffic event. Not all trajectories need to be presented; representative trajectories should be used to describe the flow across all the different traffic regions. Determine: the speed of each shock wave, • the points of intersection of each of the shockwaves and • the time taken for the congestion to dissipate (when the impact of the slow moving vehicle no longer exists). Traffic on a section of an arterial road is flowing at a space mean speed of 45km/hr. The relationship between space mean speed and density of the traffic on the road section can be described using the following equation (where v represents space mean speed in km/hr and k represents the density in veh/km): v = 80(1-) 160 An octogenarian, travelling to an auto-show, turns onto the roadway at 9am, 4km from the beginning of the arterial road, driving at 25km/hr in a vintage Model T Ford. The vehicle impedes traffic; however, vehicles can pass the slow-moving vehicle resulting in an average space mean speed of 35km/hr upstream of the slow vehicle. The Model T Ford turns off onto a local road from the arterial road 5km after joining the traffic stream and at this point in time vehicles begin to move at the maximum flow rate. Use a space time-diagram and shockwave theory to describe this traffic event. Not all trajectories need to be presented; representative trajectories should be used to describe the flow across all the different traffic regions. Determine: the speed of each shock wave, • the points of intersection of each of the shockwaves and • the time taken for the congestion to dissipate (when the impact of the slow moving vehicle no longer exists).

Answer rating: 100% (QA)

So we can represent the shockwave and distance time graph as follows forwar... View the full answer