{"id":612,"date":"2017-12-07T22:24:54","date_gmt":"2017-12-08T03:24:54","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=612"},"modified":"2026-01-14T10:48:34","modified_gmt":"2026-01-14T15:48:34","slug":"2eva2007tii_t2_an-lanzamiento-vertical-proyectil","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva10\/2eva2007tii_t2_an-lanzamiento-vertical-proyectil\/","title":{"rendered":"2Eva2007TII_T2_AN EDO Lanzamiento vertical proyectil"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2007-2008. 12\/Febrero\/2008. An\u00e1lisis Num\u00e9rico<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. Un proyectil de <strong>masa = 0.11<\/strong> Kg es lanzado verticalmente hacia arriba con una <strong>velocidad inicial<\/strong> <strong>V(0) = 8<\/strong> m\/s.<\/p>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"469\" height=\"292\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/ParabolicoAngryBirds01.png\" alt=\"parab\u00f3lico angry birds 01\" class=\"wp-image-21014\" \/><\/figure>\n\n\n\n<p>El proyectil disminuye su <strong>velocidad<\/strong> por efecto de la fuerza de gravedad<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>F<\/strong><sub>g<\/sub> = -mg<\/p>\n\n\n\n<p>y por la resistencia del aire<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>F<\/strong><sub>r<\/sub> = k v |v|<\/p>\n\n\n\n<p>donde <strong>g = 9.8<\/strong> m\/s<sup>2<\/sup> y <strong>k = 0.002<\/strong> Kg\/m.<\/p>\n\n\n\n<p>La ecuaci\u00f3n diferencial de la <strong>velocidad<\/strong> est\u00e1 dada por:<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> m \\frac{\\delta v}{\\delta t} = -mg - kv|v|<\/span>\n\n\n\n<p>a. Calcule la <strong>velocidad<\/strong> con el m\u00e9todo de Runge-Kutta de cuarto orden para<\/p>\n\n\n\n<p class=\"has-text-align-center\">t = 0.2, 0.4, ... , 1.0 segundos<\/p>\n\n\n\n<p>b. Calcule en que tiempo el proyectil alcanzar\u00e1 la altura m\u00e1xima.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p><strong>Referencias<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Fighter Jet Ejection Seat Slow Mo \u2013 Rocket Sled Test At USAF High Speed Test Track\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/vaWoLoP4hI0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2007-2008. 12\/Febrero\/2008. An\u00e1lisis Num\u00e9rico Tema 2. Un proyectil de masa = 0.11 Kg es lanzado verticalmente hacia arriba con una velocidad inicial V(0) = 8 m\/s. El proyectil disminuye su velocidad por efecto de la fuerza de gravedad Fg = -mg y por la resistencia del aire Fr = k v [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[56],"class_list":["post-612","post","type-post","status-publish","format-standard","hentry","category-mn-2eva10","tag-edo"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/612","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=612"}],"version-history":[{"count":5,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/612\/revisions"}],"predecessor-version":[{"id":21016,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/612\/revisions\/21016"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=612"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=612"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}