Parabolic Motion: 2D Trajectory Under Gravity

This GeoGebra worksheet demonstrates the parabolic trajectory of an object moving under gravity in a 2D plane. Users can freely adjust initial position (x0, y0), initial velocity magnitude and direction (v0) using sliders, observing the moving point P and velocity vectors (vx, vy) in real-time. Core mathematical concepts include parabolic equations, vector decomposition, and kinematic formulas. The construction uses Segment and Vector commands for arrows, parametric equations xt=v0x*t, yt=y0+v0y*t-0.5*g*t^2 for trajectory plotting, with slider animations showing the complete motion. Ideal for high school physics projectile motion teaching, mathematical modeling courses, and parametric equation visualization.