If a car is considered a total loss after an accident and the insurance company pays you for what the car is worth do you still have coverage on that vehicle if you contnue to drive it?

Usually if the car is a total loss, the insurance company will pay you and take the car. They then sell it for parts/salvage. If they let you keep the car, all you have to do is check on the current status of your policy and see if it is listed.