The body moves from a state of rest with acceleration, the modulus of which is a = 2.0 m / s2.

The body moves from a state of rest with acceleration, the modulus of which is a = 2.0 m / s2. what path does the body cover in a time interval ∆t = 3.0 s?

V0 = 0 m / s.

a = 2 m / s ^ 2.

t = 3 s.

S -?

With uniformly accelerated movement, the movement of the body S 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, and a is the acceleration during movement.

Since the initial velocity of the body is V0 = 0 m / s, the formula will take the form: S = a * t ^ 2/2.

S = 2 m / s ^ 2 * (3 s) ^ 2/2 = 9 m.

Answer: from a state of rest, the body will travel a path S = 9 m.