Problem $5$

A vehicular stream at $q_1=1000vph$ and $k_1=25vpm$ is interrupted by a flagman for $5$ minutes beginning at time $t=0.$ At time $t=5$ minutes, vehicles at the front of the stationary platoon begin to be released at $q_2=1470vph$ and $u_2=35mph.$ Assuming $k_{\text{j}\text{a}\text{m}}=180vpm,$

plot the location of the front line of the stationary platoon versus time

plot the location of the rear line of the stationary platoon versus time in the same chart

at what time will the front line and read line meet?

at what time will the traffic flow return normal before the flagman interference?