After implementing a number of integrators for ODEs we are now in the position to solve some practical problems:

  • projectile movement with air resistance (this lecture)
  • realistic movement of a spinning baseball (next lecture)

Linear air resistance

For the problem that you should solve during the class, get the notebook1 11-ODE-lineardrag-students.ipynb and see notebook 11-ODE-lineardrag.ipynb for the full solution.2

trajectories of object launched at different angles with linear air resistance

Trajectories of a small object launched at different angles, under linear air resistance.

Resources

  • Computational Modelling: Chapter 3

Footnotes

  1. As usual, git pull the resources repository PHY432-resources to get a local copy of the notebook. Then copy the notebook and all other code into your work directory in order to complete the exercises. ↩

  2. Notebook will be posted after class; in the meantime look at the student notebook. ↩