Pane Problem 3: Driver Characteristics You and a group of seven friends are planning a trip by car to the Great Smoky Mountains and take Interstate 40. You take two separate cars to get there. The speed limit on the roadway is 70 mph. Suppose a gas station located at an upcoming exit would like to place a sign on the road that reads, "Pilot Travel Center." The sign must be located 20 ft to the side of the road, and the speed limit on the freeway and the initial speed limit on the exit ramp are both assumed to be 70. Use the data given below to answer the questions below: Car 1 Car 2 Perception Time 1 sec 1 sec Reading speed 3 words/sec 2 words/sec Decision Time 0.55 sec 0.65 sec Vision 20/20 20/40 Vanderbilt University Prof. D. Work CE 3501- Transportation Systems Engineering Spring 2023 a. Determine the distance before which each car should finish reading the billboard. b. Calculate the distances covered while i) perceiving, ii) interpreting, iii) and reacting to the sign for each car. c. Can the sign be located at the exit given the decision time in part b? If no, explain where to place the sign. What if the decision and reaction time is 5 seconds? d. What should be the minimum size of the text on the sign for each car? Assume you do not perceive the sign unless you can read the text. nited States) Focus EO TE E