According to Newton's third law of motion, the statement that is always correct is:
If a moving object hits another object, then the second object will push back.
This reflects the principle that for every action, there is an equal and opposite reaction. When one object exerts a force on a second object, the second object exerts an equal and opposite force on the first object. The other statements are not universally true; for instance, the objects do not always stop or bounce off each other, and the second object does not necessarily start moving unless acted upon by the force from the first object.