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a) If the maximum acceleration that is tolerable for passengers in a subway trai

ID: 1902939 • Letter: A

Question

a) If the maximum acceleration that is tolerable for passengers in a subway train is 2.25 m/s2 and subway stations are located 1000 m apart, what is the maximum speed a subway train can attain between stations?
m/s

(b) What is the travel time between stations?
s

(c) If a subway train stops for 30 s at each station, what is the maximum average speed of the train, from one start-up to the next?
m/s

(d) Graph x, v, and a versus t for the interval from one start-up to the next. (Do this on paper, your instructor may ask you to turn in this graph.)

Explanation / Answer

Divide the problem in half, accelerate and deaccelerate. half distance = 500 500 = (1/2)(2.25 ) t^2 that gives you half the time v = 0 + 2.25 t^2 total time = 2 t + 30 v average = 1000/total time