What is the force acting on a body weighing 200 kg if the dependence of its movement

What is the force acting on a body weighing 200 kg if the dependence of its movement on time is determined by the equation sx = 5t + 1.25t2?

m = 200 kg.

Sx = 5 * t + 1.25 * t ^ 2.

F -?

According to Newton’s 2 law, the force F, which acts on a body, is equal to the product of the body’s mass m by its acceleration a: F = m * a.

The dependence of the speed of movement V (t) is the derivative of the distance traveled Sx (t) “: V (t) = Sx (t)”.

The dependence of the acceleration of the body a (t) is the derivative of the dependence of the speed of movement V (t) “or the second derivative of the dependence of the distance traveled Sx (t)” “: a (t) = V (t)” = Sx (t) “”.

Sx (t) “= (5 * t + 1.25 * t ^ 2)” = 5 + 2 * 1.25 * t = 5 + 2.5 * t.

a (t) = Sx (t) “” = (5 + 2.5 * t) “= 2.5 m / s2.

F = 200 kg * 2.5 m / s2 = 500 N.

Answer: a force F = 500 N. acts on the body.