Calculadora de Trajetória (Parábola)

This calculator determines the height y of a projectile at a given horizontal point x, assuming an ideal parabolic trajectory. It uses the equations of uniformly accelerated motion for the vertical axis and uniform motion for the horizontal axis, resulting in the formula y = x·tanθ − g·x²/(2v₀²cos²θ). The user inputs the initial velocity v₀, launch angle θ, horizontal position x, and gravitational acceleration g (default 9.8 m/s²).

Usage is straightforward: enter the values in the corresponding fields and click Calculate. The tool processes the equation and returns the instantaneous height. It is useful for physics students, engineers, and enthusiasts who want to analyze projectile motion without manual calculations. Remember that the model ignores air resistance and other external forces.

When to use: to check the height of a soccer ball kicked at a certain distance from the goal, to design the reach of a water jet in a fountain, or in basic ballistics problems. It also helps understand how angle and speed affect the trajectory. Caution: the formula only applies to oblique launches in a vacuum; in real-world scenarios with air, results may differ significantly.

Common pitfalls: do not confuse degrees with radians (the calculator uses degrees). Ensure x does not exceed the projectile's maximum range, as height may become negative (indicating the projectile has already hit the ground). Always verify units: velocity in m/s, angle in degrees, x and y in meters, g in m/s².