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

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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