The equations of motion have the form x = 2t + 0.2t ^ 2. Determine the value of the acceleration during movements.

Consider the equation of motion of a material point in the general case. It is known from the school physics course that it has the form:

x = x0 + v0 * t + a * t ^ 2/2,

in this equation:

x0 – starting coordinate,

v0 – initial speed,

a – acceleration,

t is time.

Let’s compare this equation with the equation given in the conditions of the problem. Comparing, it is easy to see that

a / 2 = 0.2.

From the last equation we find the acceleration a:

a = 0.2 * 2 = 0.4.

Answer: a = 0.4.