Question 1: Traffic Flow Theory (20 points) A survey team collected traffic da...
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Question 1: Traffic Flow Theory (20 points)
A survey team collected traffic data between two points of a highway, XX and YY, 450m apart. Observations at XX show that five vehicles passed that location at intervals of 3, 4, 3, and 5 sec, respectively. The speeds of the vehicles at point XX were 84, 72, 63, 56.2, and 52 km/h respectively. Assume that the vehicles maintain these speeds whilst approaching YY.
Please provide the following information (Provide 2dp);
a. (5 points) Fill in the distance values in the schematic below showing the locations of the five vehicles 20 sec after the first vehicle passed location XX. (Note: the distances are not drawn to scale
b. (4 points) Calculate the time mean speed.
c. (4 points) Calculate the space mean speed.
d. (4 points) Calculate the density between XX and YY on the highway using the fundamental traffic equation.
e. (3 points) Determine the space (time) mean speed using the empirical relationship: vt=0.966vs+3.541. Compare your answer with that obtained in part (c) and quantify the differences. Is it significant?
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