He may be one of those few dogs that is not comfortable riding in cars. You could try a few different things to make the ride more pleasant for him:

-When he isn't whining or jumping around, give him treats for being good and praise him.

-Put on some soothing music.

-Give him a chewy to keep him occupied in the backseat.

-Get him a doggy seatbelt.

-If it is mandatory for him to go somewhere, you could crate him in the backseat, of course this will only work depending on the size of the dog and crate.

-Make a few short trips to fun places. He probably relates a ride in the car with a shot in the butt and it makes him nervous, so if you change the outcome he may learn to relax.

I hope this helps.