Green ellipse accounts for air resistancepic.twitter.com/oQSqXOCfzz
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Throwing an object at the same speed but different angles defines an Ellipsoid via its maximum heightpic.twitter.com/gd3fqHLDT3
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Proof (2D): • Use the kinematic equations to solve for the point of maximum height (𝑥(θ), 𝑦(θ)) as a function of launch angle θ • Rearranging, you can see that these (x,y) define an ellipse with semi-major axis 𝑝 and semi-minor axis 𝑝/2pic.twitter.com/O8KNCeS2q5
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Mathematics is magic and you are a sorcerer
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Best compliment I’ve ever got
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Interestingly, I liked the previous version better
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What happens if you add air resistance?
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see thread
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If I banged on a trash can, what shape gets made then
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