{"id":425,"date":"2017-10-16T22:41:11","date_gmt":"2017-10-17T05:41:11","guid":{"rendered":"https:\/\/sites.evergreen.edu\/mnm1718\/?p=425"},"modified":"2017-10-16T22:41:11","modified_gmt":"2017-10-17T05:41:11","slug":"visualizing-solutions","status":"publish","type":"post","link":"https:\/\/sites.evergreen.edu\/mnm1718\/visualizing-solutions\/","title":{"rendered":"Visualizing Solutions"},"content":{"rendered":"<p>It&#8217;s possible to use tools you learn in one part of the program to explore other parts of the program&#8230; here&#8217;s an example. In Problem 3.33 of Wolfson you should have generated parametric equations for x(t) and y(t) to describe the motion. After looking up how to build parametric plots in Desmos, I created <a href=\"https:\/\/www.desmos.com\/calculator\/vfcjrjswkq\">an interactive graph of the solution<\/a>, complete with sliders allowing you to adjust values for angles and accelerations (with conversions from degrees to the radians Desmos prefers for calculating sines and cosines built in).<\/p>\n<p>Here you can see the power of doing your work symbolically. Once you enter the formulas, it&#8217;s really easy to explore how the results depend on various parameters. A solution obtained by early substitution of values would not be easy to translate into a computer tool like this.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It&#8217;s possible to use tools you learn in one part of the program to explore other parts of the program&#8230; here&#8217;s an example. In Problem 3.33 of Wolfson you should have generated parametric equations for x(t) and y(t) to describe &hellip; <a href=\"https:\/\/sites.evergreen.edu\/mnm1718\/visualizing-solutions\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":4651,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_s2mail":"yes"},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/posts\/425"}],"collection":[{"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/users\/4651"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/comments?post=425"}],"version-history":[{"count":0,"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/posts\/425\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/media?parent=425"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/categories?post=425"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.evergreen.edu\/mnm1718\/wp-json\/wp\/v2\/tags?post=425"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}