"To cover the accident" means to hide or conceal information about the accident, usually from the authorities or from others who may need to know about it. Full definition
Insurance for common carriers specializes in covering accidents while you are using a common carrier. (usacoverage.com)
Should you decide to add an accidental death rider to your policy, be sure that you carefully review the list of covered accidents that the rider will apply to. (lifeinsurancebyjeff.com)
Note: Collision does not cover accidents with animals. (progressive.com)