2. The upstream traffic flow on a road with two lanes in the relevant direction is q₁= 1800 veh/hr with freeflow speed of vi-90 km/hr. As the result of a crash, one lane is blocked and flow is reduced to q2 = 900 veh/hr. The density in the queue is k2 = 70 veh/km. The value of time is GHC 10/hour/vehicle. Find: (a) The shockwave speed (vw) (b) The number of vehicles that will be in the queue if the traffic situation continues for 1 hour before the lane is cleared. (c) The cost of the crash to society in terms of delay (hint: use travel time in excess of freeflow travel time to determine this) (d) The amount to be paid to a freeway service patrol (tow truck service) if it can clear the crash in 30 minutes (e) The amount to be paid to a freeway service patrol if a variable message sign placed 2 km upstream of the crash site instantly advises travelers about a diversion to a frontage road 1 km upstream of the crash site

4. The relation of the density (d) along a roadway to vehicle speed (s: km/h) is given as d = 50- s/2 Determine the flow (q)-speed (s) and flow (q)-density (d) relationships and draw the variations of density-speed, flow-speed and flow-density on. Show the maximum and minimum points on these graphs

A particle moving along a straight line is subjected to a deceleration a=-2v3ms2, where V is in ms, If it has a velocity v=8 m/s and a position s=10 m when t=0 sec., determine its: 1. Velocity when t=4 sec. Position when t=4 sec. 2.

For the case of a bottleneck in a highway where two lanes in one direction must narrow down to one lane, if the flow in vehicles/hour is greater than the capacity of the bottleneck but less than the capacity of the unrestricted two lanes of travel, a queue will form, and its length will increase over time. A) True B) False