Name:

$6-(10$ pts$)$ A highway has the following speed$-$density relationship: $S=S_f{e}^{-\frac{D}{D_o}}$ where $S_f$ is

the free$-$flow speed and $D_o$ is the density at capacity. Sketch the speed$-$density curve and explain

why this curve does not match one of the boundary conditions of traffic stream model.

Assume that $S_f=55mph$ and $D_o=120ve\frac{h}{m}il\frac{e}{ln}.$ What is the volume when the density is

$145ve\frac{h}{m}il\frac{e}{ln}?$