When discussing cart design ideas, Eoin and Rebecca both thought of the Gyrosphere from Jurassic World, as I’ve yet to see that (unfortunately) they had to explain it to me.
The Gyrosphere is like a giant hamster ball that navigates 2 passengers around the Herbivore sanctuary. The exterior rotates freely, keeping the rotation of the passengers inside, completely independent. Eoin linked us to a video that I found really informative and this could explain how the carts work in terms of the laws of physics.
Now we need to look at how the slide will accommodate the cart. Will it be like the rolling ball sculptures I was looking at that are railings that the carts fit in to? Will it be like a water slide that the carts go through?