The body moving in a rectilinear manner uniformly accelerated for the first 5

The body moving in a rectilinear manner uniformly accelerated for the first 5 s passed 7.5 m, find the body’s acceleration if its initial velocity was zero.

t = 5 s.

S = 7.5 m.

V0 = 0 m / s.

а – ?

For uniformly accelerated motion, the formula for determining the distance traveled is valid: S = V0 * t + a * t ^ 2/2, where V0 is the initial speed of the body, a is the acceleration of the body, t is the time of the body.

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 from the formula: a = 2 * S / t ^ 2.

Substitute in the formula the numerical values from the condition of the problem: a = 2 * 7.5 m / (5 s) ^ 2 = 0.6 m / s ^ 2.

Answer: the acceleration of the body is a = 0.6 m / s ^ 2.