Amoving object is in equilibrium. which best describes the motion of the object if no forces change?
it will change directions
it will slow down and stop.
it will maintain its state of motion
it will speed up and then slow down.

It will maintain its state of motion

Explanation:

When an object is in equilibrium the net force acting  on the object is zero.  Therefore according to Newton's second law ∑F=ma , acceleration is zero. When acceleration is zero of an object it keeps constant velocity. Therefore the object will maintain its state of motion.(When an moving object is in equilibrium net force is zero and it's in dynamic equilibrium state.)

C. It will maintain its state of motion.

Explanation:

Equilibrium:

Equilibrium is the state of an object in which all the forces acting upon it are balanced.

An object is said to be in equilibrium when no forces are acting on it or the net force = 0.

If net force = 0, a = 0

In our case, the object is in equilibrium which means all the forces are balanced and no forces change. The moving object will not change directions because changing directions means its velocity changes. This is only possible if there is acceleration. As there is no force, there can't be acceleration.

Similarly, the object can neither slow down nor speed up without an external force.

Hence, the object in equilibrium will maintain its state of motion.