\(\def \u#1{\,\mathrm{#1}}\) \(\def \abs#1{\left|#1\right|}\) \(\def \ast{*}\) \(\def \deg{^{\circ}}\) \(\def \ten#1{\times 10^{#1}}\) \(\def \redcancel#1{{\color{red}\cancel{#1}}}\) \(\def \BLUE#1{{\color{blue} #1}}\) \(\def \RED#1{{\color{red} #1}}\) \(\def \PURPLE#1{{\color{purple} #1}}\) \(\def \th#1,#2{#1,\!#2}\) \(\def \lshift#1#2{\underset{\Leftarrow\atop{#2}}#1}}\) \(\def \rshift#1#2{\underset{\Rightarrow\atop{#2}}#1}}\) \(\def \dotspot{{\color{lightgray}{\circ}}}\)
Chapter 3: Linear Motion
10.

Free Fall

An object is in free fall when the only force acting on it is gravity. Technically, this only occurs in a vacuum, because air resistance is always present. In practice, however, we can often ignore air resistance and still get a pretty good idea about how an object behaves, although the speeds we predict may be too high.

The net force on an object in free fall is $\vec F_{net}=mg\downarrow$, so we know from Newton's Second Law that its acceleration is $$\vec a={\vec F_{net}\over m}={mg\downarrow\over m}=g\downarrow$$ where $g$ is our old friend $9.8\u{m/s^2}$.

Although it is called free fall, the term applies to any object which is only experiencing the force of gravity—that is, any object not in contact with anything. When I throw a ball into the air, that ball is in free fall the entire time it is in the air: when it goes up, at the top of its flight, and when it comes back down: the acceleration of the ball is downward during its entire flight. This downward acceleration has a different effect at different points in the flight:

(no alternate text)