Final answer:
The statement is false; a nonzero net force does imply a change in motion for an object, according to Newton's first law. For instance, a stationary box pushed with force will start moving.
Step-by-step explanation:
The statement that a nonzero net force causes no change in an object's motion is false. According to Newton's first law, also known as the law of inertia, an object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction unless acted upon by a nonzero net external force. Therefore, if a nonzero net force is applied, it implies there must be a change in the object's state of motion, which can manifest as a change in speed, a change in direction, or both, which is an acceleration. For example, when you push a stationary box with a force, the box starts to move; the force you applied has changed the motion of the box from being at rest to being in motion.