{"id":394,"date":"2023-06-19T18:15:52","date_gmt":"2023-06-19T18:15:52","guid":{"rendered":"https:\/\/physigeek.com\/pt\/aceleracao-media\/"},"modified":"2023-06-19T18:15:52","modified_gmt":"2023-06-19T18:15:52","slug":"aceleracao-media","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/aceleracao-media\/","title":{"rendered":"Acelera\u00e7\u00e3o m\u00e9dia"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 acelera\u00e7\u00e3o m\u00e9dia na f\u00edsica. Da mesma forma, voc\u00ea descobrir\u00e1 como calcular a acelera\u00e7\u00e3o m\u00e9dia e um exerc\u00edcio resolvido no qual obtemos a acelera\u00e7\u00e3o m\u00e9dia de um celular. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-aceleracion-media\"><\/span> O que \u00e9 acelera\u00e7\u00e3o m\u00e9dia?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>acelera\u00e7\u00e3o m\u00e9dia<\/strong> \u00e9 a acelera\u00e7\u00e3o na qual um corpo em movimento teria viajado se tivesse se movido com uma acelera\u00e7\u00e3o constante ao longo do caminho. A acelera\u00e7\u00e3o m\u00e9dia \u00e9 calculada dividindo a mudan\u00e7a na velocidade pelo tempo decorrido.<\/p>\n<p> O s\u00edmbolo da acelera\u00e7\u00e3o m\u00e9dia \u00e9 <sub>m<\/sub> .<\/p>\n<p> As unidades de acelera\u00e7\u00e3o m\u00e9dia s\u00e3o unidades de comprimento divididas por unidades de tempo ao quadrado, como qualquer tipo de acelera\u00e7\u00e3o. Portanto, a unidade m\u00e9dia de acelera\u00e7\u00e3o no Sistema Internacional (SI) \u00e9 o metro dividido por segundo ao quadrado (m\/s <sup>2<\/sup> ).<\/p>\n<p> Ressalta-se que a acelera\u00e7\u00e3o m\u00e9dia n\u00e3o leva em considera\u00e7\u00e3o a <a href=\"https:\/\/physigeek.com\/pt\">velocidade instant\u00e2nea<\/a> em seu c\u00e1lculo, apenas considera a velocidade inicial e a velocidade final. Portanto, a acelera\u00e7\u00e3o m\u00e9dia pode n\u00e3o ser uma representa\u00e7\u00e3o adequada da realidade; somente se o celular tiver uma acelera\u00e7\u00e3o constante ao longo da viagem \u00e9 que a acelera\u00e7\u00e3o m\u00e9dia faz sentido. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-aceleracion-media\"><\/span> F\u00f3rmula de acelera\u00e7\u00e3o m\u00e9dia<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A acelera\u00e7\u00e3o m\u00e9dia \u00e9 igual \u00e0 mudan\u00e7a na velocidade (\u0394v) dividida pelo intervalo de tempo decorrido (\u0394t). Portanto, para calcular a acelera\u00e7\u00e3o m\u00e9dia, a diferen\u00e7a entre a velocidade final e inicial deve ser dividida pela diferen\u00e7a entre o instante final e inicial (a <sub>m<\/sub> =\u0394v\/\u0394t).<\/p>\n<p> Portanto, a <strong>f\u00f3rmula para calcular a acelera\u00e7\u00e3o m\u00e9dia<\/strong> \u00e9: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/acceleration-moyenne.png\" alt=\"f\u00f3rmula de acelera\u00e7\u00e3o m\u00e9dia\" class=\"wp-image-7410\" width=\"211\" height=\"211\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/acceleration-moyenne-300x300.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/acceleration-moyenne-150x150.png 150w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/acceleration-moyenne.png 402w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p style=\"margin-bottom:5px\"> Ouro: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4218e08ac07a38c6b81ef75196fa8e59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_m\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"21\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o m\u00e9dia. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-94ac7e028a0584ad0183447f9c0fe2f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta v\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"24\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o aumento da velocidade. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-819ab50990df5adf82bea9dfa75ffff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta t\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a varia\u00e7\u00e3o temporal. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5d8e0d73e36f7ffd98c73baf4bec8be0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 a velocidade final. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c9928f5e418ac3466349509fd03bdead_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a velocidade inicial. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-82d36af17e232807e56da9ccdbbda0d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_f\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"14\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 o momento final. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bf289b768173104db12fe7044c723db4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"11\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 o momento inicial. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-de-la-aceleracion-media\"><\/span> Exemplo de c\u00e1lculo de acelera\u00e7\u00e3o m\u00e9dia<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Depois de vermos a defini\u00e7\u00e3o de acelera\u00e7\u00e3o m\u00e9dia e qual \u00e9 sua f\u00f3rmula, veremos um exemplo concreto de como esse tipo de acelera\u00e7\u00e3o \u00e9 calculado.<\/p>\n<ul>\n<li> Um corpo em movimento tem uma velocidade de v <sub>i<\/sub> = 3 m\/s no instante t <sub>i<\/sub> = 2 s e uma velocidade de v <sub>f<\/sub> = 6 m\/s no instante t <sub>f<\/sub> = 8 s, qual \u00e9 a sua acelera\u00e7\u00e3o m\u00e9dia?<\/li>\n<\/ul>\n<p> Para encontrar o valor da acelera\u00e7\u00e3o m\u00e9dia, basta aplicar a f\u00f3rmula explicada na se\u00e7\u00e3o acima:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-259a585d2f290910d43580f4998b62e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_m=\\cfrac{\\Delta v}{\\Delta t}=\\cfrac{v_f-v_i}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"152\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Ent\u00e3o substitu\u00edmos todos os dados na f\u00f3rmula e calculamos a acelera\u00e7\u00e3o m\u00e9dia do corpo em movimento: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c1719c3b89d2f6c97e77b99bc645fb33_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_m=\\cfrac{6-3}{8-2}=\\cfrac{3}{6}=0.5\\ \\cfrac{m}{s^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"193\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/physigeek.com\/pt\/velocidade-media-3\/\">Como calcular a velocidade m\u00e9dia<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-media-y-aceleracion-instantanea\"><\/span> Acelera\u00e7\u00e3o m\u00e9dia e acelera\u00e7\u00e3o instant\u00e2nea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A seguir veremos qual \u00e9 a diferen\u00e7a entre acelera\u00e7\u00e3o m\u00e9dia e acelera\u00e7\u00e3o instant\u00e2nea, pois s\u00e3o dois conceitos cinem\u00e1ticos diferentes que precisam ficar claros.<\/p>\n<p> <strong>A acelera\u00e7\u00e3o instant\u00e2nea<\/strong> \u00e9 a acelera\u00e7\u00e3o que um corpo em movimento tem em um determinado momento. Ent\u00e3o, se a acelera\u00e7\u00e3o n\u00e3o for constante, um celular pode ter uma acelera\u00e7\u00e3o instant\u00e2nea diferente a cada instante.<\/p>\n<p> Portanto, a <strong>diferen\u00e7a entre a acelera\u00e7\u00e3o m\u00e9dia e a acelera\u00e7\u00e3o instant\u00e2nea<\/strong> \u00e9 que a acelera\u00e7\u00e3o m\u00e9dia \u00e9 a acelera\u00e7\u00e3o que um corpo teria se estivesse se movendo a uma acelera\u00e7\u00e3o constante. No entanto, a acelera\u00e7\u00e3o instant\u00e2nea pode variar a qualquer momento. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/physigeek.com\/pt\/aceleracao-instantanea\/\">O que \u00e9 acelera\u00e7\u00e3o instant\u00e2nea?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-media-y-aceleracion-promedio\"><\/span> Acelera\u00e7\u00e3o m\u00e9dia e acelera\u00e7\u00e3o m\u00e9dia<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Por fim, veremos qual \u00e9 a diferen\u00e7a entre acelera\u00e7\u00e3o m\u00e9dia e acelera\u00e7\u00e3o m\u00e9dia, pois s\u00e3o duas no\u00e7\u00f5es f\u00edsicas muitas vezes confundidas.<\/p>\n<p> <strong>A acelera\u00e7\u00e3o m\u00e9dia<\/strong> \u00e9 a m\u00e9dia aritm\u00e9tica da acelera\u00e7\u00e3o de um corpo em movimento em dois momentos diferentes. Portanto, a acelera\u00e7\u00e3o m\u00e9dia \u00e9 calculada somando a acelera\u00e7\u00e3o final mais a acelera\u00e7\u00e3o inicial e depois dividindo por dois.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b41d92d93f8d9d9381743298d4374f16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_{avg}=\\cfrac{a_f+a_i}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"112\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Ouro: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-af6b96b495929c836fd426dcaceeb14a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_{avg}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"31\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o m\u00e9dia. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-07851b9a7c18f44d36ce58e88fef052c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o final. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0ea7aa2fd00c5c5980e75b075179d117_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o inicial.<\/span><\/li>\n<\/ul>\n<p> Portanto, a <strong>diferen\u00e7a entre acelera\u00e7\u00e3o m\u00e9dia e acelera\u00e7\u00e3o m\u00e9dia<\/strong> \u00e9 que a acelera\u00e7\u00e3o m\u00e9dia \u00e9 calculada a partir da mudan\u00e7a na velocidade, enquanto a acelera\u00e7\u00e3o m\u00e9dia \u00e9 calculada a partir da acelera\u00e7\u00e3o final e da acelera\u00e7\u00e3o inicial.<\/p>\n<p> Se a acelera\u00e7\u00e3o for constante ao longo da viagem, a acelera\u00e7\u00e3o m\u00e9dia e a acelera\u00e7\u00e3o m\u00e9dia coincidem em valor.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 acelera\u00e7\u00e3o m\u00e9dia na f\u00edsica. Da mesma forma, voc\u00ea descobrir\u00e1 como calcular a acelera\u00e7\u00e3o m\u00e9dia e um exerc\u00edcio resolvido no qual obtemos a acelera\u00e7\u00e3o m\u00e9dia de um celular. O que \u00e9 acelera\u00e7\u00e3o m\u00e9dia? A acelera\u00e7\u00e3o m\u00e9dia \u00e9 a acelera\u00e7\u00e3o na qual um corpo em movimento teria viajado se tivesse se &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/aceleracao-media\/\"> <span class=\"screen-reader-text\">Acelera\u00e7\u00e3o m\u00e9dia<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-394","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Acelera\u00e7\u00e3o m\u00e9dia<\/title>\n<meta name=\"description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 acelera\u00e7\u00e3o m\u00e9dia, como a acelera\u00e7\u00e3o m\u00e9dia \u00e9 calculada (f\u00f3rmula) e um exerc\u00edcio de acelera\u00e7\u00e3o m\u00e9dia resolvido.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physigeek.com\/pt\/aceleracao-media\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Acelera\u00e7\u00e3o m\u00e9dia\" \/>\n<meta property=\"og:description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 acelera\u00e7\u00e3o m\u00e9dia, como a acelera\u00e7\u00e3o m\u00e9dia \u00e9 calculada (f\u00f3rmula) e um 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