Modeling and Simulation in Python

20THE FALLING PENNY REVISITED

So far the differential equations we’ve worked with have been first-order, which means they involve only first derivatives. In this chapter, we turn our attention to second-order differential equations, which can involve both first and second derivatives.

We will revisit the falling penny example from Chapter 1 and use run_solve_ivp to find the position and velocity of the penny as it falls, with and without air resistance.

This chapter is available as a Jupyter notebook where you can read the text, run the code, and work on the exercise. You can access the notebooks at https://allendowney.github.io/ModSimPy.

Newton’s ...