Many pet experts believe that car sickness in dogs may be prompted by fear of the noise, motion or stress of being driven to an unfamiliar destination.
There are ways to calm dogs down and make them more comfortable in the car. If possible, start young, getting your puppy accustomed to driving places with you. For older animals, try this approach: Invite your dog to join you in the car and give him a treat without ever leaving the driveway. Do this several days in a row. Then have him come to the car; just turn on the motor without moving; pet and talk softly to him; then offer him a treat. Finally, go for a short test drive with him. Many dogs will have forgotten their queasiness about the whole car ordeal.
If all else fails, ask your vet about motion sickness medications.
– WASHINGTON POST