When the Brachiosaurs (the dino the kids and the Paleontologist feed and pet while they're resting up the tree) eat, they use a 'side to side' motion, like cows. The problem is a Brachiosaur's jaw physically cannot do this. Instead, they chewed by moving their lower jaws back and forth.
From what I have read, brachiosaurs and other sauropods (long-necked plant-eating dinosaurs, if you didn't know) didn't chew their food much at all. None of their teeth were the right shape for chewing, and it is most likely that they simply raked in the leaves and had gizzard stones to grind up the food for them. Remember the gizzard stones that they find by the sick Triceratops? Brachiosaurus would have had those. In fact, Triceratops was probably *less* likely to have had gizzard stones, because it had grinding teeth at the back of its beak!
Zidane, I'm sorry, but you have Brachiosaurus mixed up with Diplodicus and Apatosaurus. Brachiosaurus was the only Sauropod (Ultrasaurus aside), who's neck DID raise straight up. It's only the Sauropods with the long, whip like tails that had the necks straight out in front.
There is an elementary-grade dinosaur book that says Brachiosaurs didn't have teeth, instead, they swallowed rocks to mush up the plants inside of them. (Those aren't the EXACT words of course.)