The train, moving at a speed of 36 km / h, began to slow down 500 m before the station.

The train, moving at a speed of 36 km / h, began to slow down 500 m before the station. With what acceleration did the train move to a complete stop?

Let’s write the formula for the path through acceleration: S = (U ^ 2-U0 ^ 2) / 2a. Let us express the acceleration: a = (U ^ 2-U0 ^ 2) / 2S. Since the train slows down, its final speed is 0. Translating the data into SI and substituting it into the formula, we get: a = (0-100) / 1000 = 0.1 m / s ^ 2.