Projectile Motion with Ceiling Constraint

This simulation demonstrates how a ceiling limits projectile trajectories in confined spaces like gymnasiums or indoor arenas. Students explore optimal launch angles that maximize horizontal distance while respecting height constraints. Unlike ideal conditions where 45° yields maximum range, ceiling-constrained environments require reduced angles, illustrating real-world trade-offs between vertical and horizontal motion. This concept applies to engineering design, sports strategy, and architectural planning where space limitations affect projectile paths.