Determine the initial speed of the body, which, moving with an acceleration of 2m / s2

Determine the initial speed of the body, which, moving with an acceleration of 2m / s2, covers a path equal to 125m in 5 seconds

Initial data: a (acceleration with which the considered body moved) = 2 m / s2; t (duration of movement) = 5 s; S (body path) = 125 m.

We express the initial velocity of the body under consideration from the formula: S = V0 * t + 0.5 * a * t ^ 2, whence V0 * t = S – 0.5 * a * t ^ 2 and V0 = (S – 0.5 * a * t ^ 2) / t.

Calculation: V0 = (125 – 0.5 * 2 * 5 ^ 2) / 5 = 100/5 = 20 m / s.

Answer: The initial velocity of the body in question was 20 m / s.