# How long does it take for a body moving from a state of rest with acceleration = 0.3 m / s2 to cover a distance of = 30 m?

June 29, 2021 | education

| a = 0.3 m / s2.

V0 = 0 m / s.

S = 30 m.

t -?

With uniformly accelerated movement, the path traveled by the body is determined by the formula: S = V0 * t + a * t ^ 2/2, where V0 is the initial speed of movement, t is the time of movement, a is the acceleration of movement.

Since the body moves from a state of rest V0 = 0 m / s, the formula will take the form: S = a * t ^ 2/2.

t ^ 2 = 2 * S / a.

The formula for determining the time of movement will take the form: t = √ (2 * S / a).

t = √ (2 * 30 m / 0.3 m / s2) = 14 s.

Answer: the body will pass the distance S = 30 m from the state of rest in the time t = 14 s.

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