Given a particular velocity and angle an object will tend to follow a ballistic path, which you can predict. Once you predict that path, you can compare it to the track profile and see where the riders are going to go (ballistic path) versus where the train is going to go (track path). Voila: You've just predicted airtime and whether the ride might be safe.
Or you could go the projectile route...you've seen the videotape of someone floating an orange on Superman: The Escape, right? You could demonstrate the science behind that experiment, perhaps even showing how the action varies in different reference frames.
Well, it's a couple of thoughts, anyway...!
--Dave Althoff, Jr.
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The legend lives!
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