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 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 1.1 m/s2 until it reaches 95 km / h then stays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at -2.0 m/s2. Assume it stops at each intermediate station for 22 s.