The body, having driven 800 m, changed its speed from 5 m / s to 10 m / s.

The body, having driven 800 m, changed its speed from 5 m / s to 10 m / s. Find acceleration. It is known: S = 800 m. Initial V = 5 m / s V = 10 m / s Find: a -?

To find the acceleration with which a given body should have moved when gaining speed, we use the formula: S = (Vk ^ 2 – Vn ^ 2) / 2a, whence a = (Vk ^ 2 – Vn ^ 2) / 2S.

Variables: Vк – speed reached by the body (Vк = 10 m / s); Vн – initial speed (Vн = 5 m / s); S – distance traveled (S = 800 m).

Calculation: a = (Vk ^ 2 – Vn ^ 2) / 2S = (10 ^ 2 – 5 ^ 2) / (2 * 800) = 0.046875 m / s2 ≈ 0.047 m / s2.

Answer: A given body during acceleration should have moved with an acceleration of 0.047 m / s2.