Problem 1 A study of freeway flow at a particular site has resulted in a speed-density relationship, as follows: From this relationship: S=57.5(1-0.008D) (a) Find the free-flow speed and jam density. (b) Derive equations describing flow versus speed and flow versus density (c) Determine the capacity. Problem 2 The following travel times were measured for vehicles as they traversed a 2.0 mile segment of highway. Compute the time mean speed and the space mean speed. Why is the space mean speed always lower than time mean speed? Vehicle Travel Time (min) 123456 2.6 2.4 2.4 44821 2.8 2.2 2.1 Problem 3 The following is the two-way volume for a section of the New Jersey Turnpike. The volume provided is the total monthly volume for each day of the week. Use the data to approximate the average annual daily traffic and the average annual weekday traffic for the roadway (Note: Only one average annual daily traffic and one average annual weekday traffic should be provided). January Mon Tue 187060 169950 199140 192910 Wed Thur Fri 213030 Sat Sun 169400 149650 February 197020 206460 210100 March 216680 216310 179610 167200 205490 208000 191960 196220 208410 186400 179770 April 100870 99550 104410 107950 107560 92600 90140 May 101210 103380 106370 109670 112240 93900 94110 June 106950 105760 143470 140360 145530 98450 100110 July 206340 214360 225620 236770 249680 218110 197740 August 217750 224930 230920 241080 256050 217940 212810 September 208220 212810 220110 226180 243780 204950 198350 October 220290 220380 223950 November 221250 225890 223950 234600 251320 208010 199190 224420 230580 203010 194640 December 206870 222480 229230 235510 224760 191170 180180 Problem 2 The following travel times were measured for vehicles as they traversed a 2.0 mile segment of highway. Compute the time mean speed and the space mean speed. Why is the space mean speed always lower than time mean speed? Vehicle Travel Time (min) 1 2.6 23456 2.4 2.4 2.8 2.2 2.1