Math Problem Statement
Using a simulation, calculate the projectile motion of a baseball given different launch angles and initial velocities. Determine the best parameters for maximum distance, and model the height of the baseball as a function of horizontal distance using a quadratic equation.
Solution
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Quadratic Equations
Parabolic Trajectories
Formulas
h(d) = ad^2 + bd + c
Vertex formula: d = -b / (2a)
Theorems
Quadratic Vertex Theorem
Kinematic Equations for Projectile Motion
Suitable Grade Level
Grades 9-12
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