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Additional Problem: I went to Six Flags in St. Louis last summer. They have the Screamin'...

Additional Problem: I went to Six Flags in St. Louis last summer. They have the Screamin' Eagle roller coaster. When it opened in 1976 it was the tallest and fastest roller coaster in the world. The site says the initial drop is 92 feet and has a maximum speed of 62 miles per hour. Let's assume this is the largest drop and the fastest speed during the ride. a) Assuming no friction how fast would the cart be going at the bottom if the first drop was 92 feet? (give your answer in m/s) b) Assuming no friction how high would the first drop need to be to have a velocity at the bottom of 62 miles per hour? (give your answer in meters) c) Could both these measurements, height of 92 feet and a speed of 62 miles per hour, be correct? Explain why or why not.

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