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ELI5: How do Roller Coasters “Valley” if every single hill, twist, turn and brake is mathematically designed with completing the course in mind?
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Every single roller coaster element is designed to ensure the ride has enough momentum to complete the course and return to the station. Every hill is smaller than the last. Every turn is wider and less banked than the last. Every brake section is at an elevation to allow the coaster to finish the remainder of the course following a dead stop. So when we see news articles about roller coasters not having enough momentum to clear a hill and getting stuck, I have absolutely no idea how this happens.
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