Instructions: In Assignment 9, we considered projectile motion using Excel spreadsheets as the computational and graphing tool. In this assignment, you will repeat the solution of the projectile motion problems, but you are to use MATLAB as the computational tool. For the first problem you should develop your own code, while for each of the last three problems you should use the MATLAB code from Garcia called balle.m that can be downloaded from Physics, directory /tmp/balle.m, to osf1. Compared your numerical results from the Excel calculation with those from MATLAB.
Problem 1. Simple Projectile Motion
Using MATLAB, set up the numerical simulation in Equation 2.11 in Garcia, Chapter 2. Perform the calculations neglecting the consideration of air resistance. Use launch angles of 30o, 35o, 40o, 45o, 50o, and 55o. Graph your results so that they resemble Figure 2.1 in Garcia.
Example of Graph
Done. See Projectile.htm
Problem 2. Improving balle.m
Garcia, Page 41, Exercise 1.
Done. See Projectile.htm
Problem 3. Euler-Cromers and Midpoint Methods
Garcia, Page 41, Exercise 2.
Done. See Projectile.htm
Problem 4. Batted Ball (Extra Credit)
Garcia, Page 41, Exercise 3.
Done. See Projectile.htm