The body, moving in a straight line with acceleration from the state of rest, covered a path of 25 m.

The body, moving in a straight line with acceleration from the state of rest, covered a path of 25 m. What is the modulus of acceleration of the body’s motion if the speed at the end of the motion was 10 m / s?

These tasks: S (the path traveled by the body under consideration) = 25 m; V1 (initial speed) = 0 m / s (movement from rest); V2 (speed at the end of the movement) = 10 m / s.

We express the acceleration modulus of the body under consideration from the formula: S = (V2 ^ 2 – V1 ^ 2) / 2a, whence a = (V2 ^ 2 – V1 ^ 2) / 2S = (V2 ^ 2 – 0) / 2S = V2 ^ 2 / 2S.

Let’s perform the calculation: a = 10 ^ 2 / (2 * 25) = 2 m / s2.

Answer: The module of acceleration of the body under consideration is 2 m / s2.