Interactive projectile trajectories with launch angle, initial height, and air resistance — animated with live stats
Without drag, the trajectory is the textbook parabola: R = v₀²·sin(2θ)/g, maximized at 45°. With quadratic air resistance (F = −k·v²·v̂) there's no closed-form solution, so the simulator integrates the equations of motion numerically (Euler, dt = 5 ms) — notice how drag shortens range, lowers the optimal angle below 45°, and makes the descent steeper than the ascent. Useful for physics labs, homework checking, and building intuition.
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