Find the acceleration of the train if, when approaching the station, having an initial speed of 90 km / h

Find the acceleration of the train if, when approaching the station, having an initial speed of 90 km / h, it stopped in 50 seconds.

Given:

V = 90 km / h = 25 meters per second – the initial speed of the train;

t = 50 seconds – the time interval during which the train stopped.

It is required to determine the train acceleration a (m / s ^ 2).

Since, according to the condition of the problem, the train has stopped, its final speed is equal to zero. Then:

a = (0 – V) / t = (0 – 25) / 50 = -25 / 50 = -0.5 m / s ^ 2.

The minus sign means that the acceleration is directed in the direction opposite to the speed.

Answer: The acceleration of the train is -0.5 meters per second squared.