With what acceleration should the locomotive move in order to increase the speed from 36 to 54

With what acceleration should the locomotive move in order to increase the speed from 36 to 54 km / h on the path of 250 m

To calculate the acceleration of a given locomotive, we use the formula: S = (V ^ 2 – V0 ^ 2) / 2a, whence we express: a = (V ^ 2 – V0 ^ 2) / 2S.

Variables: V is the speed reached by the locomotive (V = 54 km / h = 15 m / s); V0 is the initial speed of the locomotive (V0 = 36 km / h = 10 m / s); S – distance traveled (S = 250 m).

Let’s perform the calculation: a = (V ^ 2 – V0 ^ 2) / 2S = (15 ^ 2 – 10 ^ 2) / (2 * 250) = 125/500 = 0.25 m / s2.

Answer: The given locomotive had to move on its way with an acceleration of 0.25 m / s2.