# Time of Flight

Written by Jerry Ratzlaff on . Posted in Relativity

A projectile object that is given an initial velocity, and is acted on by gravity. The amount of time it spends in the air is called the time of flight. If the ground from which the projectile is launched is level, the time of flight only depends on the initial velocity ($$v_i$$) , the launch angle ($$\theta$$), and the acceleration due to gravity.

## formula

$$f_t = \frac { 2v_i sin \theta} {g}$$

Where:

$$t_f$$ = time of flight

$$v_i$$ = initial velovity

$$g$$ = gravitational acceleration

$$\theta$$ = angle of the initial velocity from the horizontal plane (radians or degrees)