(Solved): Q4 Based On Field Observations Of Traffic Conditions On One Direction Of A Two-lane Two-way Highway ...

Q4 Based on field observations of traffic conditions on one direction of a two-lane two-way highway section, the following regression model has been developed for the flow-density relationship: q = 60k -0.5k where k- traffic density (veh/km) 4-traffic flow (veh/h) Answer the following questions: a) Derive the speed-density relationship. b) What are the capacity and free-flow speed of this highway section? c) The traffic on a no-passing section of the highway is moving at a speed of 50 km/h. A truck in the traffic stream suddenly slows down to a speed of 20 km/h, which causes a platoon to build up behind the truck (because passing is not permitted). What would be the length of the platoon if the situation continues for 30 seconds?