Question description<\/p>\n
The goals for this project include one or more of the following:Using MATLAB with the\u00a0dsolve\u00a0and\u00a0ezplot\u00a0commandsMaking use of script M-files in MATLABUsing MATLAB along with\u00a0if\/then\u00a0statements to perform approximation techniques, and bring in the\u00a0plot\u00a0command; or do the aforementioned in a spreadsheet (most likely Excel)In either a spreadsheet or with MATLAB, approximate a system of differential equations by tweaking previous files to adapt to the new problem.The Project is:When velocities are high, experiments determine that the model we’ve used\u00a0where down is positive and up is negativewhere\u00a0k\u00a0is some constant of proportionality does not adequately model what occurs: \u00a0experimental data does not fit the model, unless\u00a0v\u00a0isn’t terribly large.This is especially true when moving through water, where even slow velocities are shown to have a disproportional effect on the drag. \u00a0In fact, it increases almost proportional to the square of the velocity_mdvdt=mg\u2212kwv2where down is positive and up is negative, and motion is always downward. \u00a0In addition, when moving through water there is often a buoyancy force due to the displacement of water; we should actually use\u00a0mdvdt=mg\u2212FB\u2212kwv2\u00a0where\u00a0FB\u00a0is the buoyancy force.On to the problem:Suppose an object with a mass of 30 kg is dropped from the edge of a quarry pit and falls down to the bottom, where water has collected. \u00a0We know the water is 3 m deep. \u00a0Due to prior experiments,we have determined that the object has a terminal velocity of 15 m\/s in the air, and only 2 m\/s in water (it falls slowly in water) due to water resistance and a buoyancy of 200 N. \u00a0Listening for a splash, we know it hits the water after falling for 4.5 seconds. \u00a01. \u00a0What are\u00a0ka\u00a0and\u00a0kw\u00a0equal to? \u00a0In order to give us the observed terminal velocities in air and water, we should be able to calculate them. \u00a0(Probably something to do without MATLAB.)2. \u00a0How fast is the object traveling when it hits the water’s surface? \u00a0(Use MATLAB to solve for velocity in the air.)3. \u00a0What distance did it fall to the surface of the water from the release point? \u00a0(Use MATLAB to solve for position in the air.)3. \u00a0How long after its release\u00a0will it reach the underwater bottom of the quarry? \u00a0(Use MATLAB to solve for position in the water.)4. \u00a0How fast will the object be traveling when it hits the bottom? \u00a0(Use MATLAB to solve for velocity in the water.)Aside from the\u00a0dsolve\u00a0command, you might want to use graphs generated by\u00a0ezplot\u00a0to estimate answers, or write a root finder; you might also try using the\u00a0solve\u00a0command, but it might not give you the results you expect.-Solve this problem using MATLAB; discuss your observations. \u00a0Include any graphs or other helpful information (screen shots, or the text of what you typed in, or any script M-files) should be attached; it’s preferable to have all of this in one document, either a *.doc, *.docx, or *.pdf.<\/p>\n","protected":false},"excerpt":{"rendered":"
Question description The goals for this project include one or more of the following:Using MATLAB with the\u00a0dsolve\u00a0and\u00a0ezplot\u00a0commandsMaking use of script M-files in MATLABUsing MATLAB along with\u00a0if\/then\u00a0statements to perform approximation techniques, and bring in the\u00a0plot\u00a0command; or do the aforementioned in a spreadsheet (most likely Excel)In either a spreadsheet or with MATLAB, approximate a system of differential […]<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11588,9844,10754,11589,9797,10756,3352,10755],"tags":[9832,9873,10767,3722,10520,10766,9799,11206,11347,9831,9817,10765],"class_list":["post-87659","post","type-post","status-publish","format-standard","hentry","category-complete-the-assignment-in-a-page-paper","category-edu-essay-help-for-students","category-i-need-help-with-my-essay","category-i-need-my-essay-completed-in-300-400-words","category-professor-essays","category-research-papers-acemyhomework","category-us","category-10755","tag-ae","tag-ca","tag-dissertation-study-bay","tag-get-assignments-done","tag-global-assignment-help","tag-help-with-my-assignment","tag-research-essay-pro","tag-students-assignment-help","tag-superior-essay-papers","tag-usa-assignment-answers-examples","tag-written-essay-hub","tag-10765"],"_links":{"self":[{"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/posts\/87659","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/comments?post=87659"}],"version-history":[{"count":0,"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/posts\/87659\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/media?parent=87659"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/categories?post=87659"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.colapapers.com\/us\/wp-json\/wp\/v2\/tags?post=87659"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}