If the maximum acceleration that is tolerable for passengers in a subway train is 1.39 m/s2 and subway stations are located 780 m apart, what is the maximum speed a subway train can attain between stations

The maximum speed a subway train can attain between stations is 32.93 m/s.

Explanation:

Given;

maximum tolerable acceleration = 1.39 m/s²

distance between subway train, d = 780 m

The distance available to accelerate between stations = ¹/₂ x 780 m = 390 m

Apply the following kinematic equation to determine the maximum speed;

v² = u² + 2ad

v² = 0 + 2ad

v² = 2(1.39)(390)

v² = 1084.2

v = √1084.2

v = 32.93 m/s

Therefore, the maximum speed a subway train can attain between stations is 32.93 m/s.