This post shows the solution of the ordinary differential equation (ODE) for falling bodies with fluid resistance \(F_f = kv\), velocity-time, v-t. If you wish to discover how the ODE was derived, read here first.
\(\frac{d v}{d t}+\frac{k}{m} v=g\)
- The variable \(v\) refers to the velocity of the falling objects
- Variable \(t\) refers to the time
- The variable \(k\) refers to the drag proportionality constant.
- Variable \(m\) is the object's mass
- Constant \(g\) refers to the acceleration due to gravity.