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 tripin 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 stationstotal). Assume that at each station the train accelerates at a rate of 1.1 m/s2until it reaches 95 km/h then stays atthis 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.
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 stationstotal). Assume that at each station the train accelerates at a rate of 1.1 m/s2until 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.
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