(a) If the maximum acceleration that is tolerable for passengers in a subway train is 1.52 m/s2 and subway stations are located 1030 m apart, what is the maximum speed a subway train can attain between stations?

b)what is the travel time between stations?

c)If a subway train stops for 20 s at each station, what is the maximum average speed of the train, from one start-up to the next?

1 answer

a) it can accelerlerate half way, and deacceleralte halfway.
Vf^2=2ad solve for Vf, then avg velocity is half that, so time=1030/(Vf/2)