An inductive loop sensor is located approximately halfway along a one lane, one-way road link of length 2km and records the flow and occupancy of vehicles. At 5am on a weekday morning the average flow is 350 veh/h and the average occupancy is 2%. Estimate the free flow speed of the road. If jam density is 120 veh/km, what is the capacity of the road? (b) c (c) The average vehicle length is 5m. Assume there is a linear relationship between speed and density. [4 marks] An accident occurs 1.6km downstream from the start of this road link. This accident reduces the capacity of the road at that point by 60%. If the entry flow into this section of road is 2000 veh/h, estimate the speed and density immediately upstream of the accident. [6 marks] Estimate the length of congestion 15 minutes after the occurrence of this accident. Assume the entry flow remains constant throughout this period. [4 marks] How long would it take a vehicle to reach the location of the accident from the start of the road section 15 minutes after the occurrence of the accident? [2 marks] A second accident occurs 1km from the start of this section of road and 30 minutes after the occurrence of the first accident. Describe with the aid of sketched graphs of the relationship between flow, speed and/or density how the section of road between accident locations would operate if the capacity reduction of the second accident is (1) greater than that of the first accident and less than that of the first accident. Assume the entry flow remains constant throughout this period. [4 marks) (d) (e) ok