# Fundamentals of Transportation/Shockwaves/Problem

Problem:

Flow on a road is ${\displaystyle q_{1}=1800veh/hr/lane}$, and the density of ${\displaystyle k_{1}=14.4veh/km/lane}$. To reduce speeding on a section of highway, a police cruiser decides to implement a rolling roadblock, and to travel in the left lane at the speed limit (${\displaystyle v_{2}=88km/hr}$) for 10 km. No one dares pass. After the police cruiser joins, the platoon density increases to 20 veh/km/lane and flow drops. How many vehicles (per lane) will be in the platoon when the police car leaves the highway?

How long will it take for the queue to dissipate?