Travel sickness is very common and focusing on work or goofing off on your phone can make it much worse.
You can take ginger to help with nausea generally but focusing on where you're going is the best cure.
Maybe the productive thing to do is to develop your friendship with the person in the car and talk to them? I say this because adding in two naps to your day that're low quality will probably be what is causing merry hell with your sleep pattern