# Determine the speed of the body at the end of the uniformly accelerated motion, if the acceleration

September 30, 2021 | education

| **Determine the speed of the body at the end of the uniformly accelerated motion, if the acceleration is 1 m / s2, and the path traversed by the body from the beginning of the motion is 18 m.**

Initial data: a (constant acceleration of the body) = 1 m / s2; S (the path traveled by the body from the beginning of the movement) = 18 m; V0 (initial velocity of the body) = 0 m / s.

The speed of the body at the end of uniformly accelerated motion can be calculated from the formula for calculating the distance traveled: S = (V ^ 2 – V0 ^ 2) / 2a = V ^ 2 / 2a, whence V ^ 2 = S * 2a and V = √ (S * 2a).

Let’s calculate: V = √ (18 * 2 * 1) = √36 = 6 m / s.

Answer: At the end of uniformly accelerated motion, the body will have a speed of 6 m / s.

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