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Mathematics, 07.12.2020 16:30 25jzaldivar

On Mars the acceleration due to gravity is 12 ft/sec^2. (On Earth, gravity is much stronger at 32 ft/sec^2.) In the movie, John Carter, it shows Carter leaping about 100 feet up on Mars. John Carter is an Earth man who has been transported to Mars so his leg muscles have been built to handle Earth's gravity while Mars' gravity is a lot less. On Earth, Michael Jordan had a vertical jump velocity of 16 ft/sec. Suppose John Carter could triple that initial jump velocity due to being on Mars, so his initial velocity would be v0= 48 ft/sec. a.) How high could he jump on Mars? b.) How long could he stay in the air before he hit the ground? c.) The movie shows Carter jumping about 100 ft high. Is that about right by the calculus? d.) What would his speed be when he hit the ground?

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On Mars the acceleration due to gravity is 12 ft/sec^2. (On Earth, gravity is much stronger at 32 ft...

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