Problem $05$:

A fundamental diagram is given, with traffic state A$-$F marked. Please draw the schematic time$-$

space diagram based on following traffic states, show the shock wave and try to understand what

kind of traffic phenomenon happened $($think of real situation in life$).$

a$.$ Traffic condition transmits from E to C$.$

b$.$ Traffic condition transmits from A to F$.$

c$.$ Traffic condition transmits from $C$ to $D,$ then to $F.$

Problem $06$:

A fleet of eight cars are driving to the same direction on the same lane, their trajectories are partially shown in the figure below. Within the time period, there are in total three traffic states, A$,$ B and C$.$ In state $A,$ cars are driving at free$-$flow speed; in state B$,$ cars are driving at some congested speed and in state C$,$ cars are stopped. Please draw the shock waves that happen in the blank areas $1$ and $2$ respectively, according to the following conditions. The drawing is to show the basic direction and slope of the shock wave, no specific value is required, no completion of the trajectory is required.

a$.$ when the headway for traffic state $A$ is $5s,$ and $10$ seconds for state $B,$ and infinite for state $C.$

What is the traffic flow for A and $B?$

Mark possible locations of state A$,$ B in the fundamental diagram $($no value is necessary$).$

Draw the shock waves in areas $1$ and $2.$

b$.$ when the headway for traffic state $A$ is $10$ s$,$ and $10$ seconds for state $B,$ and infinite for state $C.$ What is the traffic flow for A and $B?$ Draw the shock waves.

Mark possible locations of state A$,$ B in the fundamental diagram $($no value is necessary$).$

Draw the shock waves in areas $1$ and $2.$

c$.$ when the headway for traffic state $A$ is $10$ s$,$ and $5$ seconds for state $B,$ and infinite for state $C.$ What is the traffic flow for A and $B?$ Draw the shock waves.

Mark possible locations of state $A,B$ in the fundamental diagram $($no value is necessary$).$

Draw the shock waves in areas $1$ and $2.$

Time$-$Space diagram Fundamental diagram