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Throwing an object at the same speed but different angles defines an ellipse via its maximum height
Dust off your kinematics, folks.
• To extract the ellipse, we solve for the point of maximum height (𝑥(θ), 𝑦(θ)) as a function of launch angle θ
• Indeed, these coordinates define the ellipse given below, where 𝑝 is the max height achieved when shot straight up
• To extract the ellipse, we solve for the point of maximum height (𝑥(θ), 𝑦(θ)) as a function of launch angle θ
• Indeed, these coordinates define the ellipse given below, where 𝑝 is the max height achieved when shot straight up
(gif credit: @LucasVB)
