Developed by K. Roos
|Levels||First Year and Beyond the First Year|
|Available Implementations||C/C++, Fortran, Glowscript, IPython/Jupyter Notebook, Mathematica, Octave*/MATLAB, Python, and Spreadsheet|
Students who complete these exercises will be able to: - model the motion of a falling sphere with air resistance in one dimension using the Euler algorithm (**Exercise 1**); - produce graphs (position and velocity vs. time) of the computational solution (**Exercises 2-6**); - assess the accuracy of the computational solution by comparing it to the analytical solution (**Exercises 2 and 3**); - describe changes in the behavior of the model (e.g., time to approach terminal velocity) based on changes to properties of the falling sphere (e.g., mass and cross-sectional area) (**Exercises 4-6**); - describe ways to test the accuracy of a computational solution when there does not exist a known analytical solution (**Exercise 7**).
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Credits and Licensing
K. Roos, "Falling Sphere with Air Resistance Proportional to $v^2$," Published in the PICUP Collection, July 2016.
The instructor materials are ©2016 K. Roos.
The exercises are released under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 license