What property of an object in motion must be overcome before it can be brought to rest?

The property of an object in motion that must be overcome before it can be brought to rest is its inertia. Inertia is the resistance of any physical object to any change in its velocity, which includes changes to both speed and direction. It is directly proportional to the object's mass.

Here are the steps to overcome inertia:

1. Apply a force: In order to overcome inertia, a force must be applied to the object in motion. This force must be in the opposite direction to the motion of the object.

2. Sustain the force: The force must be sustained until the object comes to rest. The amount of force and the duration for which it needs to be applied depends on the mass of the object and its initial velocity.

3. Overcoming friction: While applying the force, one must also overcome the force of friction which acts in the direction opposite to the motion of the object.

4. Bringing the object to rest: Once the inertia is overcome and the object has stopped moving, it is at rest.

Remember, the greater the mass of the object, the greater its inertia, and the more force it will take to change its state of motion.