Having escaped the evil robot for the moment, Sarah takes a moment to hug her son. Then she rips into him for being so stupid as to try to rescue her. Parents, right? Arnold notices that John is crying, and asks, "What's wrong with your eyes?" Dude. Come on. Nobody cries in the future?
Back at the wreckage outside the hospital, a motorcycle cop rolls up and asks Officer Robert whether everything is okay. "Fine. Say, that's a nice bike," is the response. See what's happened here? Now Arnold's driving a police car and Officer Robert's going to be on a motorcycle. They've switched vehicles! I don't know what that means, exactly, but it seems like it should mean something.
The Connors stash their stolen police car in a stolen garage, and Arnold starts sewing up thing big ugly wound Sarah has on her back. He claims to have extensive files on human anatomy, which makes me wonder why he's never heard of "tear ducts." Sarah then goes behind Arnold with a pair of pliers and extracts many, many bullets. In the course of small talk, we learn that Arnold's CPU is a neural-net processor, which means he has the capability to learn. Which means that we're going to have to put up with some scenes of John "teaching" Arnold. I am so not looking forward to those.
Arnold stands watch all night (while Sarah watches him suspiciously), then breaks into a station wagon in the morning. So the whole parallelism-of-vehicles theme is a bust, since they're quite sensibly ditching the stolen police car. John gloats quite a bit when Arnold hotwires the newly-stolen car, but ignores the keys behind the sun visor, and I silently root for Arnold to clock the annoying little twerp. Arnold wants to get out of the city, so Sarah directs him to head south and keep to the speed limit. Arnold answers, "Affirmative," which triggers a bout of "teach the robot hipster-speak"; John teaches him to say "no problemo," "eat me," and "hasta la vista, baby." Arnold looks unsure of this (allowing for the fact that he has no facial expression at this or any other point in the movie), but repeats the last phrase in a way guaranteed to make it onto t-shirts nationwide. The lingo training continues, and I shudder to imagine a future where the only hope for humanity is a kid who thinks "chill out, dickwad" is the height of barbed wit.
The car stops at Cactus Jack's market, and there's a poignant moment when John sees two kids playing "I shot you"/"no you didn't," and reflects on the violence inherent to humanity. Well, when I say "poignant," I mean "in slow motion with sappy music," but you get the idea.