\\ -9.81m/s^2\cdot m+mCv^2 = 0
\end{gather}$$
Where $C$ is a constant (often based on mass). \
![[Pasted image 20240925112538.png]]
## Example problem:
An object with mass $m=2kg$ falls vertically through the air, acted on by gravity ($|F|=mg$) and a drag force with magnitude ($|F|=mCv^2$) where $C=0.04$.
| time | y position | y velocity | y force |
| ---- | ---------- | ---------- | ------- |
| 4.00 | 40.00m | -10.00m/s | |
| 4.01 | | | |
![[Pasted image 20240925113316.png]]