This week we worked on modeling the long jump via MATLAB since we are interested in exploring realistic projectile motion and human acceleration as it pertains to the human body. For this week, we looked\u00a0to create a baseline code\u00a0modeling a\u00a0point particle with air resistance(drag force) and gravity acting on it.<\/p>\n
We want to explore the effects of proper body position on the traveled distance in the long jump, so modeling after Chapter 2: Projectile Motion, we worked to generate a realistic curving point through Earth’s atmosphere. Our goal to set a baseline is complete. For the upcoming weeks, we\u00a0will work to add air resistance and friction in effect. To make the point particle even more interesting, we will start to add cylindrical and spherical shapes in order to resemble a more humanistic body and interesting projectile.<\/p>\n
Important Equations:<\/strong> References:<\/strong>
\nDrag Force of Air:
\n![\"CodeCogsEqn](\"http:\/\/pages.vassar.edu\/magnes\/files\/2015\/04\/CodeCogsEqn-1.gif\")
<\/a>Drag Force of Air in the x direction with the x component of velocity
\n![\"CodeCogsEqn](\"http:\/\/pages.vassar.edu\/magnes\/files\/2015\/04\/CodeCogsEqn-2.gif\")
<\/a>Drag Force of Air in the y direction with the x component of velocity
\n![\"CodeCogsEqn](\"http:\/\/pages.vassar.edu\/magnes\/files\/2015\/04\/CodeCogsEqn-3.gif\")
<\/a>Important Links:<\/strong>
\nMatLAB code and other essential information can be found at:
\nhttps:\/\/drive.google.com\/a\/vassar.edu\/folderview?id=0B6loGd4o7iESfjNoRnVmSjJDNHlabG9qNEJIRmY1Z1JEeS1QNE9rTjlIY2Vqc1NMTWlwdEk&usp=sharing<\/a><\/p>\n
\nGiordano, Nicholas J., and Hisao Nakanishi. “Chapter 2: Realistic Projectile Motion.” Computational Physics<\/em>. 2nd ed. Upper Saddle River, NJ: Pearson\/Prentice Hall, 2006. Print.<\/p>\n