Playing Livonia on a private dedicated server, I faced repeated cases of my car (an Aga) sinking into the ground. I would park, exit the vehicle, and upon returning to the vehicle I could see it sinking slowly into the ground in a manner eerily similar to a sinking ship - complete with the front often sinking faster than the rear to really sell the illusion.
If I was able to jump in and start the vehicle, I could drive it "out of the ground", but if the vehicle had sunk too far to enter I would have to quickly quit my client and shut down the server. Upon restarting the server the vehicle would be stable once more.
"Missing" the sinking car's descent results in the car being culled along with any loot it contains.