Projectile Motion and Circular Motion
Michele McColgan
Siena College
This activity was selected for the Teaching Computation in the Sciences Using MATLAB Exemplary Teaching Collection
Resources in this collection a) must have scored Exemplary or Very Good in all five review categories, and must also rate as “Exemplary†in at least three of the five categories. The five categories included in the peer review process are
- Computational, Quantitative, and Scientific Accuracy
- Alignment of Learning Goals, Activities, and Assessments
- Pedagogic Effectiveness
- Robustness (usability and dependability of all components)
- Completeness of the ActivitySheet web page
For more information about the peer review process itself, please see https://serc.carleton.edu/teaching_computation/materials/activity_review.html.
- First Publication: October 3, 2017
- Reviewed: November 19, 2018 -- Reviewed by the On the MATLAB Activity Review Process
Summary
4 MATLAB Grader (previously Cody Coursework) problems assigned to freshmen physics majors in a general physics course are described. The physics concepts are projectile motion and circular motion.
Topics
Physics
Grade Level
College Lower (13-14)
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Learning Goals
Upon completing this activity, students should be able to convert a problem that is typically solved analytically to a computational problem using a MATLAB function or script. Students will learn to program a function and/or script and evaluate it for different parameters using MATLAB and verify their analytical calculations.
Specifically, students will learn to (a) fill in a template for a function or script to represent equations, (b) correctly use variables to evaluate the function or script for the problem, and (c) produce the correct calculation for the problem using a MATLAB function or script.
Context for Use
The MATLAB Grader problems were developed for a freshman physics course on the concepts of circular motion and projectile motion. Throughout the semester, 3 or 4 MATLAB Grader problems are assigned along with 7 or 8 homework problems on the same concepts from the chapter of the textbook to be completed with paper and pencil. The addition of the computational problems provides students with the opportunity to develop their computational skills to program MATLAB functions and scripts to verify their analytical calculations.
Students have completed Matlab Onramp and 3 similar assignments on the topics of kinematics and vectors in MATLAB Grader before this assignment.
Description and Teaching Materials
The files included in this activity are screenshots of the 4 problems in MATLAB Grader. Students are expected to replace the question marks with variables and to successfully evaluate the MATLAB function or script.
Calculate the angular velocity of a pinwheel
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Calculate the linear and angular velocity of a flying pig
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Calculate the horizontal distance of a car going off a cliff
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Calculate time of flight and horizontal position of a golf ball
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Teaching Notes and Tips
The expectation is that students have little to no programming experience before using MATLAB Grader. Before assigning MATLAB Grader problems, students are assigned MATLAB Onramp. To teach students to use MATLAB Grader, the instructor provides example problems and works through the analytical problems first. Then, the instructor explains and gives examples of functions and scripts and how they differ. Finally, the instructor walks students through the completion of the template for a function and a script for the analytical problems and also the evaluation of the function and script. The instructor explains the test code used in the MATLAB Grader assessment and shows the student solutions provided to the instructor.
Assessment
Provenance: Michele McColgan, Siena College
Reuse: This item is offered under a Creative Commons Attribution-NonCommercial-ShareAlike license http://creativecommons.org/licenses/by-nc-sa/3.0/ You may reuse this item for non-commercial purposes as long as you provide attribution and offer any derivative works under a similar license.
Provenance: Michele McColgan, Siena College
Reuse: This item is offered under a Creative Commons Attribution-NonCommercial-ShareAlike license http://creativecommons.org/licenses/by-nc-sa/3.0/ You may reuse this item for non-commercial purposes as long as you provide attribution and offer any derivative works under a similar license.
The MATLAB Grader system tests student solutions for completion and correctness. In addition to the parameters given in the problem, the system also tests the student solutions with random numbers to prevent students from using constants instead of parameters in the functions.
Two examples of correct and incorrect student solutions are provided. The first example shows the solutions of the same student for the problem titled, Circular Motion 1. In the incorrect solution, constants were used inside the function. While this evaluates correctly for this problem, when the function is evaluated with random numbers by the MATLAB Grader system, it evaluates incorrectly. The student corrected their solution and received full credit. Settings in MATLAB Grader provide options for the number of attempts allowed.
The second example shows solutions for two different students for the problem titled, Projectile Motion. In the incorrect solution, the student's equation for the time is incorrect. The correct solution of another student is provided for comparison.
References and Resources
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