In the design of a rapid transit system, it is

Chapter 2, Problem 2.72

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In the design of a rapid transit system, it is necessary to balance the average speed of a train against the distance between station stops. The more stops there are, the slower the trains average speed. To get an idea of this problem, calculate the time it takes a train to make a 15.0-km trip in two situations: (a) the stations at which the trains must stop are 3.0 km apart (a total of 6 stations, including those at the ends); and (b) the stations are 5.0 km apart (4 stations total). Assume that at each station the train accelerates at a rate of until it reaches then stays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at Assume it stops at each intermediate station for 22 s