To find the time of flight, determine the time the projectile takes to reach maximum height. The time of flight is just double the maximum-height time.

Start with the equation:

v_y = v_oy + a_y t

At maximum height, v_y = 0.

The time to reach maximum height is

t1/2

=

- voy ay

Time of flight is

t

=

2t1/2

=

-2voy ay

Plugging in v_oy = v_o sin(θ) and a_y = -g, gives:

Time of flight is

t

=

2 vo sin(θ) g

where g = 9.8 m/s²

The time of flight is also determined solely by the initial velocity in the y direction and the acceleration due to gravity.