An object that is moving will stop moving when
A.
the force that is making it move stops pushing it.
B.
it has stopped speeding up.
C.
something pushes or pulls it to a stop.
D.
it has used up all its momentum.

C something pushes or pulls it to a stop.

Explanation:

According to Newton's first law of motion, An object at rest or in motion will continue to be in that state unless an external force acted on it. A body at rest will continue to be in such position until a force is exerted on it .

A body in motion is moved by a particular force, the only way that body in motion  can be altered  is if it is acted upon by an unbalancing force. Example consider throwing a ball to the air. According to Newton's law the ball will always be in uniform motion unless an opposing or unbalanced force which is the gravitational force act on it .  The ball is been pulled by an unbalanced  gravitational force .

The Newton first law is also known as the law of inertia .