1. Understand the Concepts

* Newton's Second Law: The net force acting on an object is equal to its mass times its acceleration (F_net = m * a).

* Resistive Force: This is a force that opposes the motion of an object. In this case, it's the force that prevents the box from accelerating faster than 3 m/s².

2. Calculate the Net Force

* Net force (F_net) = mass (m) * acceleration (a)

* F_net = 14 kg * 3 m/s² = 42 N

3. Determine the Resistive Force

* The net force is the difference between the applied force and the resistive force.

* F_net = Applied Force - Resistive Force

* Resistive Force = Applied Force - F_net

* Resistive Force = 130 N - 42 N = 88 N

Answer: The magnitude of the resistive force is 88 Newtons.