The body, moving in a straight line uniformly accelerated, for the first 5 s passed 7.5 m.

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

Given:

t = 5 seconds – time interval;

S = 7.5 meters – the path traveled by the body during the time interval t.

It is required to determine the acceleration of the body a (m / s ^ 2).

According to the condition of the problem, the body was moving uniformly accelerated (that is, the acceleration of the body is constant) and without initial velocity. Then:

S = a * t ^ 2/2, hence:

a = 2 * S / t ^ 2 = 2 * 7.5 / 5 ^ 2 = 15/25 = 0.6 meters per second squared.

Answer: the body was moving with an acceleration equal to 0.6 meters per second squared.