The train was moving at a speed of 54 km / hours when braking to a full stop

The train was moving at a speed of 54 km / hours when braking to a full stop, it traveled 500 meters. Determine the acceleration and travel time.

Distance traveled by the train when braking:
S = (V² – V0²) / 2a, where S is the distance traveled (S = 500 m), V is the final speed of the train (V = 0 m / s), V0 is the initial speed of the train (V0 = 54 km / h = 54 * 1000/3600 = 15 m / s), and is the acceleration of the train.
S = -V0² / 2a
Train acceleration:
a = -V0² / 2S = -15² / (2 * 500) = -0.225 m / s².
Travel time:
V = V0 + at.
V0 + at = 0.
t = -V0 / a = -15 / (- 0.225) = 66.7 s.
Answer: The acceleration of the train is -0.225 m / s², the braking time is 66.7 s.