3. [30pt] Two observers recorded the vehicle arrival times at their respective locations (which are 20 ft

apart) as follows:

1). [5pt] Compute time mean speed, and space mean speed for the time window [0, 30sec]

2). [5pt] Compute the average time headway and flow rates at location 1 and 2 respectively for

the time window [0, 30sec]. Do they observe the inverse relation?

3). [15pt] Plot the cumulative vehicle counts vs time for both locations for the time window [0,

30sec] (on the same graph). What would be the total travel time of the observed vehicles? Can you

generalize your calculations using cumulative plots?

4). [5pt] What happens to the cumulative count diagram when vehicle 5's arrival time t2 is

21sec? Can we still use the cumulative count diagram at the two locations to obtain vehicle 5's travel

time? Why?