# Find the path traversed by the body in uniformly accelerated motion from the state of rest

May 31, 2021 | education

| **Find the path traversed by the body in uniformly accelerated motion from the state of rest in a time of 1 min, if the acceleration is 0.2 m / s2.**

V0 = 0 m / s.

t = 1 min = 60 s.

a = 0.2 m / s2.

S -?

The traversed path S is the length of the line that the body describes when moving.

When a body moves with a constant acceleration a, the body’s path S is determined by the formula: S = V0 * t + a * t ^ 2/2, where V0 is the initial velocity of the body, t is the time of body movement.

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

S = 0.2 m / s2 * (60 s) ^ 2/2 = 360 m.

Answer: with uniformly accelerated motion, the body passed the path S = 360 m.

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