The dependence of the path on time for a rectilinear moving body has the form: S (t) = 2t + t ^ 2.

The dependence of the path on time for a rectilinear moving body has the form: S (t) = 2t + t ^ 2. What is the acceleration of the body?

In general, the equation of the path for uniformly accelerated rectilinear motion is written as follows:

S (t) = v0 * t + a * t ^ 2/2;

Thus, the coefficient before t ^ 2 is 0.5a. Using this ratio, we find the acceleration:

0.5a = 1;

a = 2.

Units of measurement are not specified in the conditions of the problem, therefore, they are also absent in the answer.

Answer: a = 2.