Question

What happens to distance and velocity if the time to fall increases or decreases?

Answer 1

In free-fall motion the velocity is given by the following equation of motion:

`v=v_0-gt`

Where:

`\begin{gathered} v=\text{ velocity} \\ g=\text{ acceleration of gravity} \\ t=\text{ time} \end{gathered}`

Therefore, the velocity increases linearly with time. This happens if the object encounters no air resistance. In the case that there is air resistance the object will reach a terminal velocity.

In the case of distance, this is given by the following equation:

`s=v_0t-(1)/(2)gt^2_{}`

This means that the distance increases with time following a parabolic function.