Time of Flight Calculator

Enter the projectile angle, initial height, and velocity in the time of flight calculator, and the tool will calculate the time of flight.

Angle of Launch (α)

deg ▾

Initial Velocity (h)

cm ▾

Initial Height (V)

ms ▾

Time of Flight (V)

ms2 ▾

Related

The time of flight calculator estimates the duration an object remains in the air from launch to landing. It accounts for initial speed, launch angle, and height, helping predict the object's motion accurately. You can also check time calculations for various scenarios.

What is the Time of Flight?

Time of flight refers to the total time an object stays in motion along a projectile path before hitting the ground. It is determined by the object's launch velocity, angle of projection, and initial height.

Knowing the initial speed, angle, and height allows you to calculate the object's position at any point during its flight. By calculating the projectile angle and velocity, you can also determine maximum height and total flight duration. The time of flight calculator simplifies these computations for practical applications.

Time of Flight Formula:

The time of flight of a projectile can be calculated using:

$$ t = \frac{V_0 \sin(\theta) + \sqrt{(V_0 \sin(\theta))^2 + 2 g h}}{g} $$

Where:

V_0 = Initial velocity of the projectile

θ = Launch angle

g = Gravitational acceleration

This formula is essential in projectile motion studies, such as calculating missile or sports ball trajectories. The calculator efficiently determines flight time for any given set of conditions.

Example:

Suppose a ball is launched at an angle of 60°, from an initial height of 2 m, with a velocity of 20 m/s. The gravitational acceleration is 9.80665 m/s². Determine the time of flight.