A traffic volume study was conducted on a major arterial. The observed volumes during the peak hour ($7:00\text{ AM}$ to $8:00\text{ AM}$) were recorded in 15-minute intervals:

Calculate the Peak Hour Volume (PHV), the maximum 15-minute rate of flow, and the Peak Hour Factor (PHF).

A radar gun is used to record the speeds of $5$ vehicles passing a specific point on a highway. The recorded speeds are: $80$, $85$, $90$, $95$, and $100 \text{ km/h}$. Calculate both the Time Mean Speed ($v_t$) and the Space Mean Speed ($v_s$) for this sample.

Traffic flow on a freeway segment is modeled using Greenshields' linear speed-density relationship. Field studies show the free-flow speed ($u_f$) is $110 \text{ km/h}$ and the jam density ($k_j$) is $120 \text{ vehicles/km/lane}$.

A two-lane (one direction) rural freeway has a theoretical capacity under ideal conditions of $2,400 \text{ passenger cars/hour/lane}$ (pc/h/ln). The current observed peak hour volume is $3,200 \text{ vehicles/hour}$ across both lanes. The traffic stream contains $15\%$ heavy trucks. Assuming the passenger car equivalent for a truck ($E_T$) on this terrain is $2.0$, and ignoring other adjustment factors for simplicity, calculate the equivalent passenger car flow rate ($v_p$) and determine the Volume-to-Capacity ($v/c$) ratio to estimate the Level of Service.

An urban intersection is operating at near capacity. To improve flow, the city considers banning large delivery trucks (which currently make up $10\%$ of the traffic) during the peak hour. If a truck has a PCU (Passenger Car Unit) value of $2.5$, explain theoretically how banning $100$ trucks would affect the intersection's capacity compared to banning $100$ cars.