Calculadora de Movimento de Projétil (2D)

This calculator solves the two-dimensional motion of a projectile launched from ground level (zero initial height) with an initial velocity and an angle relative to the horizontal. It provides the horizontal range (total distance traveled), maximum height reached, and total time of flight. The calculation ignores air resistance, assuming constant gravitational acceleration (g = 9.81 m/s²).

The operation is based on kinematic equations for uniformly accelerated vertical motion and uniform horizontal motion. The range is given by R = v₀² sin(2θ)/g, where v₀ is the initial velocity and θ the launch angle. The maximum height is H = (v₀ sin θ)²/(2g) and the time of flight is T = 2 v₀ sin θ/g. Results are calculated accurately and displayed in meters and seconds.

Use this tool in situations such as: calculating the distance a soccer ball travels after a kick, determining the maximum height of a projectile in physics games, or solving oblique launch problems in high school and college exams. It is useful for students, teachers, and physics enthusiasts who need quick answers without manual calculations.

Cautions: the calculator assumes the projectile starts and ends at the same level (ground). For launches from a different height (e.g., from a building), results will not be accurate. Also, the absence of air resistance means real values may differ, especially at high speeds or for light objects. Check units: use m/s for velocity and degrees for angle.