The train moving from a state of rest passed 200m with an acceleration of √4 m / s. Find the acceleration time of the train

Given: V0 (initial train speed) = 0 m / s (movement from rest); S (distance traveled) = 200 m; a (acceleration during acceleration) = 4 m / s2.

To calculate the acceleration time of a given train, we use the formula: S = (V + V0) * t / 2 = (a * t + 0) * t / 2 = a * t ^ 2/2, whence t = √ (2S / a) …

Let’s make a calculation: t = √ (2 * 200/4) = 10 s.

Answer: The acceleration time for a given train is 10 seconds.