# The car moves evenly along a horizontal line at a speed of 10 m / s.

The car moves evenly along a horizontal line at a speed of 10 m / s. At the beginning of one of the straight sections, 525 m long, the driver turns on another gear. At the end of this section, the speed increased to 25 m / s to find the acceleration in this section.

These tasks: the movement of a given vehicle is uniform and linear; V1 (speed at the beginning of the section) = 10 m / s; S (section duration, distance traveled) = 525 m; V2 (speed at the end of the section) = 25 m / s.

We express the acceleration of the car on the selected section from the formula: S = (V2 ^ 2 – V1 ^ 2) / 2a, whence a = (V2 ^ 2 – V1 ^ 2) / 2S.

Let’s make a calculation: a = (25 ^ 2 – 10 ^ 2) / (2 * 525) = 0.5 m / s2.

Answer: In the selected area, the car was moving with an acceleration of 0.5 m / s2.

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