Dog - in the back seat of a CONVERTIBLE??!!!!!!!!!!
Unless you plan on keeping the top up, that is a terrible idea
Unlike people dogs can't put on sunglasses to protect their eyes from bugs and debris in the wind. Board-certified veterinary opthamologists are not cheap
Unless you have restraint on the dog so they can not even get their front feet over the side of the car, you are just asking to get your dog killed. They get exicted and out of the car they go.....and they get hit and killed.
Having dogs ride in open air (back of pickups or convertibles with the top down) is one of the dumbest things a pet owner can do. Last summer a tourist family came up here (beach -tourist area) and had their dog riding in the back of their pickup. They went to back up and didn't realize their dog had jumped out of the vehicle and was directly behind. They backed up and KILLED their St Bernard.
Either crate the dog in the backseat in a solid sided crate with the crate door turned away from the wind, leave the dog at home or get a different vehicle.
I have been showing and training dogs for 53 years since I was a kid.