2D Projectile Motion

Ali Tabei, University of Northern Iowa, Physics
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Summary

In this class activity we will solve for the motion of an object in more than one dimension. Because motion along each axis is independent, we treat this problem as two separate numerical calculations in 1 dimension, one in the x direction and one in the y direction. For this problem we assume that acceleration only occurs along the y axis perpendicular to the earth's surface.
In this activity, students will learn how to employ the Euler method to study the two dimensional motion of a kicked ball. This is a problem that they have studies using pen and paper. Here they will see how the same problem can be approached numerically and can eventually be used to study more complex problems which pen and paper would not be convenient.

Key words: Projectile problem, 2-D motion, Euler method


Learning Goals

Students will learn how to employ the Euler method for numerical integrating a differential equation to solve a very familiar general physics problem.

Context for Use

This activity is suitable for second year students, who have taken introductory physics in a small classroom setting in a primary undergraduate institute. Students are able to complete this in class in a one hour time period.
Students need basic knowledge of MATLAB, using live scripts and know how to work with vectors, arrays, and for loops. They should know how to plot their results.

Description and Teaching Materials


Student Handout for the class activity (Microsoft Word 2007 (.docx) 17kB Oct12 23)



Teaching Notes and Tips

Assessment

References and Resources