The time of flight depends only on the initial velocity and the initial height
Explanation:
An object is said to be in free fall if the only force acting on it is the force of gravity. If this is the case, then the motion of the object in free fall is a uniformly accelerated object, with constant acceleration [tex]g=9.8 m/s^2[/tex] towards the ground. The time of flight can be found by using the suvat equation:
[tex]s=ut+\frac{1}{2}at^2[/tex]
where
s is the displacement (which corresponds to the initial height of the object)
u is the initial vertical velocity
[tex]a=g[/tex] is the acceleration
t is the time of flight
Therefore, from the equation, we see that the time of flight depends only on two factors:
- s, the initial height of the object
- u, its initial velocity
In case the air resistance is not negligible, then the acceleration is no longer constant, and the time of the fall also depends on other factors such as the mass of the object and its shape, which affects the magnitude of the air resistance acting on the body.
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