Lab 3: The Modified Euler's Method
Introduction
We saw in the last lab that Euler's method was not very accurate, especially for large step-sizes. The problem is in the equation that updates the position:
This equation assumes the velocity is constant during the time step. Obviously, the velocity is not constant, since the rocket experiences an acceleration (due to gravity). In today's lab we will investigate a more accurate integration method, the modified Euler's method.
Learning Goals
In today's lab you will learn a new integration method, the modified Euler's method.
What To Turn In
You should turn your final working program from Exercise 1 (to the Digital Dropbox) and a sheet of loose-leaf paper with your work from Exercise 2.