The body, moving in a straight line uniformly accelerated for the first 5 seconds, has passed 7.5 m, find the acceleration

The body, moving in a straight line uniformly accelerated for the first 5 seconds, has passed 7.5 m, find the acceleration of the body if its initial velocity was equal to zero.

V0 = 0 m / s.

S = 7.5 m.

t = 5 s.

а – ?

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.

Let us express the acceleration of the body: a = 2 * S / t ^ 2.

a = 2 * 7.5 m / (5 s) ^ 2 = 0.6 m / s ^ 2.

Answer: from a state of rest the body moves with acceleration a = 0.6 m / s ^ 2.