Projectile models in two dimensions

Develop two-dimensional projectile models using trigonometry, parametric equations and quadratic reasoning. This precalculus practice set covers initial velocity components, time of flight, horizontal range, maximum height and obstacle clearance, including launches above ground level.

Every problem states its model and physical units. Single-select and multiselect questions progress from interpreting coefficients to selecting valid roots and comparing trajectories. Detailed explanations retain the physical time interval, distinguish height from distance and check the result. These are idealized constant-gravity, no-air-resistance models; no calculus or physics beyond the stated assumptions is required.