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 train's average speed. To get an idea of this problem, calculate the time it takes a train to make a 34.0-km trip in two situations. In each case, assume that at each station the train accelerates at a rate of 1.30 m/s2 until it reaches a speed of 94.0 km/h, then stays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at -2.50 m/s2. Assume also that the train stops at each intermediate station (those not at the ends) for 19 s.
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