Question

A data set of traffic stream characteristics, such as space mean speed (u: miles per hour), density (k: vehicles per mile) and traffic flow rate (q: vehicles per hour), was collected for a freeway lane. The data reveals a relationship between flow rate (q) and density (k) as calibrated below:

q=66*(k-k^2/160)

Where, q = flow rate of the lane (vehicles per hour); k = density of the lane (vehicles per mile). Answer the following questions:

(1)Determine the free-flow space mean speed of the freeway lane. (2)Determine the jam density of the freeway lane. (3)Derive the equation describing space mean speed versus density. (4)Derive the equation describing space mean speed versus flow rate. (5)the possible space mean speed values when the flow rate is 1200 veh per hour. How many solutions are there? What is the level of service for each solution? (6)Determine the capacity of the freeway lane. (7)Find the average headway when the freeway reaches the capacity. (8)Find the average spacing when the freeway reaches the capacity.

Answer 1