Traffic on the eastbound approach of a signalized intersection is traveling at 35 mi/h, with a density of 46 veh/mi/ln. The duration of the red signal indication for this approach is 30 sec. If the saturation flow is 1900 veh/h/ln with a density of 52 veh/mi/ln, and the jam density is 125 veh/mi/ln, determine the following: a. The length of the queue at the end of the red phase
b. The maximum queue length
c. The time it takes for the queue to dissipate after the end of the red indication.

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.