Trains of a proposed transit line have a top speed of 80 mph, accelerate at a rate of 5.5 ft/s2 and decelerate at a rate of 4.4 ft/s2. The transportation agency would like to determine the maximum spacing of stations to allow trains to arrive no more than 5 minutes apart.
1. Draw a time-space diagram depicting the above scenario
2. Determine the acceleration and deceleration times and label them on the TSD. How much time will elapse as the train is traveling at maximum speed (assuming maximum spacing)?
3. Determine the maximum station spacing