QUESTION $2$

Under what traffic conditions will you be able to use the Greenshields model but not the Greenberg model? Give reason for your answer.

The table below shows data on speeds and corresponding densities on a section of a rural collector road. If it can be assumed that the traffic flow characteristics can be described by the Greenberg model, develop an appropriate relationship between the flow and density. Also determine the capacity of this section of the road.

$\backslash$table$[[$Speed $(m\frac{i}{h})$ Density $(ve\frac{h}{m}i),],[60\mathrm{.}0,20],[46\mathrm{.}0,32],[40\mathrm{.}8,38],[39\mathrm{.}3,40],[35\mathrm{.}7,45],[32\mathrm{.}6,50],[30\mathrm{.}8,53],[28\mathrm{.}4,57],[24\mathrm{.}7,65],[18\mathrm{.}5,80]]$

QUESTION $3$

Design the traffic signal timings of the intersection which traffic characteristics are shown in Table $3.$ Show a detailed layout of the phasing system and the intersection geometry used. Demonstrate how Al can be used to improve the signal timings. Table Problem $3$:

$\backslash$table$[[,\backslash$table$[[$North$],[$Approach$]],\backslash$table$[[$South$],[$Approach$]],\backslash$table$[[$East$],[$Approach$]],\backslash$table$[[$West$],[$Approach$]]],[$Approach Width,$58ft,58ft,68ft,68ft$