Baseball Throw: Parabolic Trajectory Simulation and Parameter Exploration

① This GeoGebra example dynamically simulates the flight path of a baseball (Schlagball) after being hit, visually demonstrating parabolic motion under gravity. ② Core mathematical concepts include quadratic functions (parabolic equations), the effect of parameter changes on graphs, linear functions (e.g., ground or reference lines), and combinatorial thinking via button interactions that trigger different parameter sets. ③ Construction highlights: uses the Intersect command to find points where the trajectory meets the ground or obstacles; objects include α (angle), c (constant term), v_0 (initial velocity), f (function), H (height), Graph_1 (trajectory graph), h (height variable), w (width), b (intercept), Ball (sphere), button1/button2 (interactive buttons), A/B (intersection points), Graph (graph), d (distance), a (quadratic coefficient), eq1 (equation), text1-text7 (text labels), etc. Sliders and buttons allow dynamic adjustment of parameters to observe changes in the parabola shape and landing point. ④ Suitable for middle and high school students learning quadratic functions, kinematics, and parametric modeling; also useful in physics classes for visualizing projectile motion, helping students understand relationships among initial velocity, launch angle, and range.