Calculadora de Tempo de Voo (Projétil)

t = 2·v₀·sin(θ)/g — tempo total de voo do projétil.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Tempo t
2,883 s

Formula

t = 2·v₀·sin(θ)/g

About this calculator

The Projectile Time of Flight Calculator determines the total time a projectile stays in the air, from launch to landing, ignoring air resistance. The calculation uses the formula t = 2·v₀·sin(θ)/g, where v₀ is the initial velocity, θ is the launch angle relative to the horizontal, and g is the acceleration due to gravity (approximately 9.8 m/s² on Earth). This tool is useful for physics students, engineers, and enthusiasts analyzing parabolic motion.

To use the calculator, enter the initial velocity in meters per second, the launch angle in degrees, and optionally adjust gravity for other planets or conditions (e.g., 1.62 m/s² on the Moon). The result shows the time of flight in seconds. The formula assumes the projectile returns to the same initial height; if launched from a different height, the time will differ. Common use cases include sports projectiles, toy rockets, or ballistic problems.

Important considerations: the formula assumes no air resistance, reasonable for low speeds and dense objects, but not for light objects or high speeds. Also, the angle must be between 0° and 180°; complementary angles (e.g., 30° and 60°) yield the same time of flight for the same speed. Remember that gravity varies with altitude, but for most Earth problems, 9.8 m/s² is sufficient. Use the calculator to quickly check exercise results or simulations.

Frequently asked questions

Does the calculator work for any angle?

Yes, as long as the angle is between 0° and 180°. However, angles above 90° represent backward launches, which are still valid.

What happens if I use lunar gravity?

The time of flight will be longer because gravity is weaker. For the same parameters, the time on the Moon is about 6 times longer than on Earth.

Does air resistance affect the result?

Yes, the formula ignores air resistance. For light objects or high speeds, the actual time will be shorter. Use with caution in such cases.

Can I use this for free fall time?

Not directly. Free fall is vertical motion without an angle. This calculator is specific for projectiles with a launch angle.

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