Walker, Halliday & Resnick — Motion Along a Straight Line: Problem 38

38 (a) If the maximum acceleration that is tolerable for passengers in a subway train is \(1.34 \text{ m/s}^2\) and subway stations are located \(880 \text{ m}\) apart, what is the maximum speed a subway train can attain between stations? (b) What is the travel time between stations? (c) If a subway train stops for \(20 \text{ s}\) at each station, what is the maximum average speed of the train, from one start-up to the next? (d) Graph \(x, v\), and \(a\) versus \(t\) for the interval from one start-up to the next.