{"id":113513,"date":"2024-02-29T17:00:00","date_gmt":"2024-02-29T20:00:00","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=113513"},"modified":"2024-09-26T10:05:44","modified_gmt":"2024-09-26T13:05:44","slug":"grafico-em-cinematica","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/grafico-em-cinematica\/","title":{"rendered":"Gr\u00e1fico em cinem\u00e1tica: defini\u00e7\u00e3o, eixos e interpreta\u00e7\u00f5es"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Um <span id=\"urn:enhancement-3b0e576f-cf88-4a4f-9c9d-9ee36d86846b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span> em <span id=\"urn:enhancement-f5613ae9-f0c0-40c3-8c82-ceb82995da4f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cinematica\">cinem&aacute;tica<\/span> &eacute; uma ferramenta da <span id=\"urn:enhancement-81d0e2e0-9dab-4cf8-a960-9150065cab3a\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> para o estudo do movimento dos corpos no espa&ccedil;o. O tra&ccedil;ado do <span id=\"urn:enhancement-f2899b37-2a05-4722-9038-7c70cd5bb37f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span> pode descrever a velocidade, deslocamento em dist&acirc;ncia, acelera&ccedil;&atilde;o e o tempo de movimenta&ccedil;&atilde;o, a depender dos <span id=\"urn:enhancement-986c8583-0b7c-40ad-ad7a-c908762671fe\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/coordenadas-cartesianas\">eixos<\/span> escolhidos para a constru&ccedil;&atilde;o gr&aacute;fica.&nbsp;<p class=\"wp-block-paragraph\">A compreens&atilde;o dos <span id=\"urn:enhancement-a6c89a5d-8f54-4a39-beb6-c055275c8c4e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;ficos<\/span> da <span id=\"urn:enhancement-dc9df09e-c93e-43a1-88cb-127b250b35df\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cinematica\">cinem&aacute;tica<\/span> &eacute; essencial para a resolu&ccedil;&atilde;o de quest&otilde;es sobre essa &aacute;rea da <span id=\"urn:enhancement-1b4977f4-c4e5-420f-923c-452609ce3d96\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, especialmente porque muitos enunciados fornecem a maior parte das informa&ccedil;&otilde;es do problema por meio de um desenho <span id=\"urn:enhancement-8c8f054e-b1a8-4f37-b8d8-298362c2273b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-f7b121c1-0a47-4e2c-8078-9007483748f4\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cinematica\">cinem&aacute;tica<\/span> est&aacute; entre os temas mais cobrados de <span id=\"urn:enhancement-d7fd64fc-1f31-4f5b-960b-2f6fa5dd018b\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> no Enem e, para te ajudar na compreens&atilde;o do assunto, o Estrat&eacute;gia Vestibulares reuniu as principais informa&ccedil;&otilde;es sobre os <span id=\"urn:enhancement-bbcbfb81-4b70-4fe4-b33b-58d00107e06a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;ficos<\/span> na <span id=\"urn:enhancement-8ea2b687-cc76-496c-af07-b0b2c0fef496\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, seus <span id=\"urn:enhancement-ff748cf2-7cdf-44d6-8989-a2354eff0132\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/coordenadas-cartesianas\">eixos<\/span> e como eles devem ser interpretados, com exemplo de quest&otilde;es comentadas e resolvidas. Leia agora!<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/grafico-em-cinematica\/#O-que-e-cinematica\" >O que &eacute; cinem&aacute;tica?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/grafico-em-cinematica\/#Graficos-em-cinematica\" >Gr&aacute;ficos em cinem&aacute;tica<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/grafico-em-cinematica\/#Questao-sobre-graficos-em-cinematica\" >Quest&atilde;o sobre gr&aacute;ficos em cinem&aacute;tica<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/grafico-em-cinematica\/#Estude-mais-com-a-Coruja\" >Estude mais com a Coruja!<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-o-que-e-cinematica\"><span class=\"ez-toc-section\" id=\"O-que-e-cinematica\"><\/span>O que &eacute; cinem&aacute;tica?<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Na <span id=\"urn:enhancement-151d9c31-407d-4cfc-9ec0-1a71d1311a44\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, a <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/cinematica\/\" target=\"_blank\">cinem&aacute;tica <\/a>&eacute; o campo respons&aacute;vel por estudar cada etapa do movimento dos corpos no espa&ccedil;o: o tempo de deslocamento, a dist&acirc;ncia percorrida, a velocidade empregada durante o caminho e a acelera&ccedil;&atilde;o que esteve presente durante o percurso.&nbsp;<\/p><p class=\"wp-block-paragraph\">Essa <span id=\"urn:enhancement-e852170a-3126-4f24-b38d-3d40d35489e1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/ciencia\">ci&ecirc;ncia<\/span> torna poss&iacute;vel a determina&ccedil;&atilde;o de velocidades m&aacute;ximas e m&iacute;nimas em vias de tr&acirc;nsito, por exemplo, ao observar a acelera&ccedil;&atilde;o e desacelera&ccedil;&atilde;o necess&aacute;rias para a parada do carro diante de um obst&aacute;culo.&nbsp;<\/p><p class=\"wp-block-paragraph\">Ao estudar o movimento dos corpos, a <span id=\"urn:enhancement-89c532d6-e750-42ea-81f8-0ffc65774c57\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cinematica\">cinem&aacute;tica<\/span> descreve esses deslocamentos por meio de <span id=\"urn:enhancement-e13da513-accd-4139-a632-aa77e462bf08\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/formulas-matematicas\">f&oacute;rmulas matem&aacute;ticas<\/span>, traduzindo as grandezas em valores quantitativos e matem&aacute;ticos. A partir desses n&uacute;meros &eacute; poss&iacute;vel construir os <span id=\"urn:enhancement-eb382987-3315-43de-acdc-66e45352c646\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;ficos<\/span> da <span id=\"urn:enhancement-26ee54c2-efaa-4c4c-b047-71001c4712f2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cinematica\">cinem&aacute;tica<\/span>, que ser&atilde;o estudados no pr&oacute;ximo t&oacute;pico.<\/p><h2 class=\"wp-block-heading\" id=\"h-graficos-em-cinematica\"><span class=\"ez-toc-section\" id=\"Graficos-em-cinematica\"><\/span>Gr&aacute;ficos em cinem&aacute;tica<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O primeiro passo para interpretar os <span id=\"urn:enhancement-a4b6fb4c-06e8-40f5-b078-3abab663f8a7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;ficos<\/span> em <span id=\"urn:enhancement-f9b13008-6ecf-4116-bee1-48d8f7632bcd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cinematica\">cinem&aacute;tica<\/span> &eacute; compreender as grandezas mais comuns dessa <span id=\"urn:enhancement-94c42efc-45a0-4e22-9709-bffd1d770648\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/ciencia\">ci&ecirc;ncia<\/span>:<\/p><ul class=\"wp-block-list\">\n<li>S representa a posi&ccedil;&atilde;o do corpo no espa&ccedil;o e &Delta;S indica a diferen&ccedil;a entre as posi&ccedil;&otilde;es finais e iniciais desse objeto no ambiente;&nbsp;<\/li>\n\n\n\n<li>t &eacute; o s&iacute;mbolo para o tempo, &Delta;t representa a diferen&ccedil;a entre o tempo final e o tempo inicial do movimento, ou seja, o intervalo de tempo em que o corpo estava em deslocamento;<\/li>\n\n\n\n<li>V &eacute; a velocidade com que o corpo faz esse deslocamento, expressa em quantidade de espa&ccedil;o percorrido a cada unidade de tempo; e&nbsp;<\/li>\n\n\n\n<li>a &eacute; a acelera&ccedil;&atilde;o empregada durante o deslocamento, a intensidade com que a velocidade &eacute; alterada ao longo do tempo.<\/li>\n<\/ul><p class=\"wp-block-paragraph\">Com base nesses quatro fatores &eacute; que s&atilde;o constru&iacute;dos os principais <span id=\"urn:enhancement-b5bc11eb-0cd5-46e7-b90a-0c7e65f53c28\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;ficos<\/span> da <span id=\"urn:enhancement-35db1cf1-304e-4e21-83f5-067e65ca8a17\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cinematica\">cinem&aacute;tica<\/span>. Em geral, cada <span id=\"urn:enhancement-868d62c5-8bb1-4858-971b-b5a66f502353\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span> representa uma dessas grandezas e elas se relacionam de <span id=\"urn:enhancement-88dd2045-5515-42ac-93e8-9de1a9ca5791\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> diferente a depender do padr&atilde;o de movimento.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-grafico-mru\">Gr&aacute;fico MRU<\/h3><p class=\"wp-block-paragraph\">O <span id=\"urn:enhancement-bc2b6711-ee95-42e6-b9e5-46e5000e253a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mru\">movimento retil&iacute;neo uniforme<\/span>, conhecido pela sigla <span id=\"urn:enhancement-a0f426dd-303e-4c03-b147-bb7d63979d85\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mru\">MRU<\/span>, n&atilde;o apresenta acelera&ccedil;&atilde;o (a=0). Isso significa que durante todo o deslocamento do corpo, a velocidade n&atilde;o sofre altera&ccedil;&atilde;o, &eacute; considerada uma velocidade constante.&nbsp;<\/p><p class=\"wp-block-paragraph\">Nesse caso, um <span id=\"urn:enhancement-d381e6ee-7019-4a5b-91ea-45b199b1ee38\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span> com os <span id=\"urn:enhancement-be706efb-8212-406c-ba14-0fb6d1d7e2e1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/coordenadas-cartesianas\">eixos<\/span> velocidade e tempo demonstrar&aacute; que a velocidade &eacute; a mesma ao longo do tempo: uma linha horizontal retil&iacute;nea, como mostra a imagem abaixo.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/GbcTdNWWEICzavr4LG2h-niDFmfk40hxikhHbnKNeTg9h-mmTwcwBphJCu_Gs4-VSGJAMuVar9slLtQveRO2z8iVcqiEY-Mma7DcwLSS6SiIeWsBg3V4H54WOO3GN5KJBncwEpGaN2OZfyNWb3tOxFg\" alt=\"gr&aacute;fico cinem&aacute;tica - MRU\" style=\"width:272px;height:auto\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Em <span id=\"urn:enhancement-b7d628e1-cbd5-48be-8c15-56a5033773f8\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, a dist&acirc;ncia percorrida pode ser calculada por &Delta;S=V.t, como V e t est&atilde;o descritas no <span id=\"urn:enhancement-56d68061-cbce-4a05-9f1c-f9c8e0783395\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span> a seguir, uma <span id=\"urn:enhancement-ccc3fd10-c608-4dd4-a417-44af573bb6a7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> de encontrar o deslocamento total do corpo &eacute; calculando a &aacute;rea desse <span id=\"urn:enhancement-864dabfe-ca35-4c5f-9ee3-37337e65e728\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span>, considerando o valor da velocidade e o valor final de t.&nbsp;<\/p><p class=\"wp-block-paragraph\">Ainda, como no <span id=\"urn:enhancement-a530bcdc-221e-4ff5-8429-fa7fc2a251e2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mru\">MRU<\/span> a acelera&ccedil;&atilde;o &eacute; nula, o <span id=\"urn:enhancement-eebc73dd-40ae-4d90-bb54-d4985655d363\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span> da acelera&ccedil;&atilde;o ao longo do tempo ser&aacute; uma linha horizontal que tange ao <span id=\"urn:enhancement-4919adfe-2dc3-465c-ada6-8f34cc0fcb0f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span> x, observe a linha vermelha apresentada no esquema a seguir.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/UqnccdJh8YIyusqDwCNkk1Q0vOoN6v8l1urbr8vAwkWxl7QIBVNrZbwCvp5NHpNbBTx2JEmf9XN79-ugoFx3xGQIubI7C9L8VQ2iceW4ypBONxwYFGtfLqOApxU7fvNBLypcC8eGXefv_yeVFjagWNk\" alt=\"acelera&ccedil;&atilde;o no gr&aacute;fico em cinem&aacute;tica - mru\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">J&aacute; se o mesmo movimento for descrito por meio dos <span id=\"urn:enhancement-1c30e364-a252-4f71-b196-d4b792129ec2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/coordenadas-cartesianas\">eixos<\/span> de tempo (t) e posi&ccedil;&atilde;o (x) no espa&ccedil;o, observa-se que a posi&ccedil;&atilde;o se altera linearmente ao longo do tempo, conforme a velocidade determina. Note que x<sub>0<\/sub> indica a posi&ccedil;&atilde;o inicial do corpo no espa&ccedil;o e acompanhe a imagem a seguir, que mostra a mudan&ccedil;a de posi&ccedil;&atilde;o &agrave; medida que o tempo passa.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/SHdhp_3VywFlYb8p2xJYBBP_cGLzInM4g5pPPK61Rqz3f8_4nVjB2BPUL2af2ZkPOEw0b9YpyL_q7pwrz11zeVZmqVhgN8rnp8dgoyDRC4D23v93xte9WFicpNbGgq8Cez0tYdgIHBi_mT1u7_P3wJQ\" alt=\"posi&ccedil;&atilde;o em fun&ccedil;&atilde;o do tempo - mru\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><h3 class=\"wp-block-heading\" id=\"h-grafico-mruv\">Gr&aacute;fico MRUV<\/h3><p class=\"wp-block-paragraph\">O <span id=\"urn:enhancement-13235d79-e521-4aff-be34-26c4c0c7b45b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span> cinem&aacute;tico tamb&eacute;m pode ser utilizado para descrever o <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/movimento-retilineo-uniformemente-variado\/\" target=\"_blank\">movimento retil&iacute;neo uniformemente variado<\/a>. Nesse tipo de deslocamento, a velocidade se altera ao longo do tempo, em fun&ccedil;&atilde;o da acelera&ccedil;&atilde;o.&nbsp;<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/g2RRJpItlcEpNXxtxsaFiLJkQ_IuB8bS_hWWNFHbig2pMI2-4zL4c2YY5cHGKia-iQVs0lAdOGDX2NUC0bYCdl8kzIWvfdUXdLcfH5dHO9AhktbfNYQECx9wG4B6WJtfzcvADOVOYWGS1ZigwOR2cHo\" alt=\"gr&aacute;fico MRUV\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Por outro lado, a acelera&ccedil;&atilde;o empregada &eacute; constante, por isso &eacute; uma varia&ccedil;&atilde;o uniforme da velocidade. Graficamente, isso significa que o valor de a n&atilde;o se altera ao longo do tempo, como mostra a figura abaixo.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/73x0krqA8MLxrjHSZnvfVm8_B5l2JQrQXWu3YrHnrrEe5Hpw1NadIUyWH0YRgbD0oXwgwGmtc-gcaOT4069_THzvGXEUs9iFljnSyZNeCP1PnCNf4zK4MO9GASLl3idBrgDddh8hRPkADlaQqmCTum4\" alt=\"acelera&ccedil;&atilde;o MRUV\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">&Eacute; interessante notar que a posi&ccedil;&atilde;o do corpo no espa&ccedil;o tamb&eacute;m sofre varia&ccedil;&atilde;o ao longo do tempo, entretanto, essa varia&ccedil;&atilde;o &eacute; mais intensa &agrave; medida que a acelera&ccedil;&atilde;o altera o valor da velocidade. Na descri&ccedil;&atilde;o <span id=\"urn:enhancement-a3866da4-40ea-4741-a04c-1128d67b9b1c\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;tica<\/span> da posi&ccedil;&atilde;o de um corpo em <span id=\"urn:enhancement-e05d844d-89f0-43a3-b29a-2f549bdf8260\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mruv\">MRUV<\/span>, a f&oacute;rmula &eacute; do segundo grau, de <span id=\"urn:enhancement-c4789a1c-0569-49e9-aa98-88082dc49558\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> que o <span id=\"urn:enhancement-c0296f07-9310-4d1f-9313-08ceabb148e6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span> que relaciona x e t <span id=\"urn:enhancement-83247ad9-afff-454b-8e9b-a1bd5082c484\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> uma par&aacute;bola.&nbsp;<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/kxwoUabLgQ2PXXmx8UgMcOUd9efwWgAykRnXTknp67-watfnrD1g7CQZCWxNn8zaxbk2G12HQw_OXJ-YuoRha9WupS5v46hGRsn9lyKJjjuuuoQqZfp3zw478Q1nRof4iTsELUb07Shl3uzfsv4tQKk\" alt=\"gr&aacute;fico de posi&ccedil;&atilde;o na cinem&aacute;tica - MRUV\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">O tra&ccedil;ado dos <span id=\"urn:enhancement-720a41eb-985f-4bc3-9f87-8afcd603f87a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;ficos<\/span>, para ser ascendente ou descendente, depende tamb&eacute;m do sinal de cada grandeza relacionada. Por exemplo, um objeto que esteja em frenagem, ter&aacute; uma diminui&ccedil;&atilde;o da velocidade ao longo do tempo, enquanto que a acelera&ccedil;&atilde;o estar&aacute; na regi&atilde;o negativa do <span id=\"urn:enhancement-67c85cb5-8c61-4113-9c7d-728f69584871\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eixo-de-rotacao\">eixo<\/span> y.&nbsp;<\/p><h2 class=\"wp-block-heading\" id=\"h-questao-sobre-graficos-em-cinematica\"><span class=\"ez-toc-section\" id=\"Questao-sobre-graficos-em-cinematica\"><\/span>Quest&atilde;o sobre gr&aacute;ficos em cinem&aacute;tica<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Universidade Federal do Paran&aacute; &ndash; UFPR (2022)<\/p><p class=\"wp-block-paragraph\">As medi&ccedil;&otilde;es s&atilde;o feitas por um referencial inercial. O m&oacute;dulo da acelera&ccedil;&atilde;o gravitacional &eacute; representado por g. Onde for necess&aacute;rio, use g = 10 <span id=\"urn:enhancement-abb4f99b-de2c-463b-bb79-4830601f4ff7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span>&sup2; para o m&oacute;dulo da acelera&ccedil;&atilde;o gravitacional.<\/p><p class=\"wp-block-paragraph\">A figura abaixo apresenta o comportamento <span id=\"urn:enhancement-88a5708d-9749-48f3-91b0-c054e3cbcc3c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span> da posi&ccedil;&atilde;o x em fun&ccedil;&atilde;o do tempo t para os objetos A (linha cheia) e B (linha tracejada), que se movem ao longo de duas pistas <span id=\"urn:enhancement-b8e914ed-1aa9-460d-8bfa-412b8fae8e34\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span>, paralelas e de origens coincidentes.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/032pGvM3B4ARxoJ4T9DBwUI5nHpVolgTJLzRGAl7V7_YIPYYWNCEm1rMnyBfxWQbQez4R9PeoRja6qOgu8NColN6oAk1BTMIPm5gCe6Br7thhjwlM2DreTF8lIFQwB7D_hO1gRhBxJEbTPBbHkyA8zY\" alt=\"Quest&atilde;o sobre gr&aacute;ficos em cinem&aacute;tica\"><\/figure><p class=\"wp-block-paragraph\">Considerando os <span id=\"urn:enhancement-829b1572-9b0c-4054-99ce-64b03ef6ba08\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/dados\">dados<\/span> apresentados no enunciado e no <span id=\"urn:enhancement-016e509b-2fb6-45a0-973e-a36c99c76a07\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span>, considere as seguintes afirmativas.<\/p><p class=\"wp-block-paragraph\">1. O objeto A tem uma velocidade constante, de m&oacute;dulo v = 2 <span id=\"urn:enhancement-b80ba355-821a-4877-9b1f-fe50e8edcc7c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span>.<\/p><p class=\"wp-block-paragraph\">2. Os objetos se encontram no instante t = 15 s.<\/p><p class=\"wp-block-paragraph\">3. O objeto B est&aacute; parado.<\/p><p class=\"wp-block-paragraph\">4. O objeto A inicia o movimento em x&#8320; = 0 m.<\/p><p class=\"wp-block-paragraph\">Assinale a alternativa correta.&nbsp;<\/p><p class=\"wp-block-paragraph\"><strong>A) <\/strong>Somente a afirmativa 2 &eacute; verdadeira.&nbsp;<\/p><p class=\"wp-block-paragraph\"><strong>B) <\/strong>Somente as afirmativas 1 e 3 s&atilde;o verdadeiras.<\/p><p class=\"wp-block-paragraph\"><strong>C) <\/strong>Somente as afirmativas 2 e 4 s&atilde;o verdadeiras.<\/p><p class=\"wp-block-paragraph\"><strong>D) <\/strong>Somente as afirmativas 1, 3 e 4 s&atilde;o verdadeiras.<\/p><p class=\"wp-block-paragraph\"><strong>E) <\/strong>As afirmativas 1, 2, 3 e 4 s&atilde;o verdadeiras.&nbsp;<\/p><p class=\"wp-block-paragraph\"><strong>Resposta:<\/strong> 1 &ndash; Verdadeira. Podemos tomar o <span id=\"urn:enhancement-490ca8c2-dd4a-4ad1-9637-cdd2953ae0d1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span> de interse&ccedil;&atilde;o entre as curvas de A e B para perceber que o m&oacute;vel A partiu da origem at&eacute; o <span id=\"urn:enhancement-f968882a-7c58-4b45-b10a-f5e7ea1e0f9b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span> de x = 30 metros num intervalo de 15 segundos. Pela <span id=\"urn:enhancement-77c0d610-588b-44e6-9a1e-d93e8d7d9520\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/equacao\">equa&ccedil;&atilde;o<\/span> da velocidade para o movimento retil&iacute;neo e uniforme (<span id=\"urn:enhancement-d5c9bd9c-d8d8-4f44-8bae-647ee2a21005\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mru\">MRU<\/span>):<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/tqmpDYXNUvUrdgmvWKc1HlrUhcVqiN0syJ6oE73WCdnoSsEUX8C_4ijIlaP6RArHBaeDfy_FRQr7-3OMBIPXX1VkLMs8MA2Q7hhbWsdtfVtaxrwRifHL3WMW8ZytUul2gZgmvPFO_m9JnjHz5AJaHoA\" alt=\"\"><\/figure><p class=\"wp-block-paragraph\">Note que sabemos se tratar de um <span id=\"urn:enhancement-e6b217c1-3b40-482d-8bd7-d5f6af4fa14d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mru\">MRU<\/span> pelo fato da reta representada por A ser uma <span id=\"urn:enhancement-217ad029-ebd3-4331-ab0b-eef19d7058fc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/funcao-do-primeiro-grau\">fun&ccedil;&atilde;o do primeiro grau<\/span>, o que evidencia que o m&oacute;dulo da sua velocidade &eacute; constante.<\/p><p class=\"wp-block-paragraph\">2 &ndash; Verdadeira. Notamos a interse&ccedil;&atilde;o das <span id=\"urn:enhancement-6ced79b0-dfc1-4cd8-b4bf-d51426a1319a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> no <span id=\"urn:enhancement-69144401-edc1-4f69-bba7-5555c6bc97c7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span> em que t = 15 s e x = 30 m.<\/p><p class=\"wp-block-paragraph\">3 &ndash; Verdadeira. A posi&ccedil;&atilde;o de B &eacute; igual a 30 m para qualquer instante de tempo representado no <span id=\"urn:enhancement-456d337e-2700-4da6-9e0b-c6a9ed3ef97a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/graficos\">gr&aacute;fico<\/span>, logo, ele est&aacute; em repouso.<\/p><p class=\"wp-block-paragraph\">4 &ndash; Verdadeira. A curva A parte da origem, logo, parte de x&#8320;=0 m.<\/p><p class=\"wp-block-paragraph\"><strong>Alternativa correta<\/strong>: E.<\/p><h2 class=\"wp-block-heading\" id=\"h-estude-mais-com-a-coruja\"><span class=\"ez-toc-section\" id=\"Estude-mais-com-a-Coruja\"><\/span>Estude mais com a Coruja!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O Estrat&eacute;gia Vestibulares &eacute; uma plataforma de estudo com milhares de quest&otilde;es de vestibulares respondidas de todo o Pa&iacute;s. O<a href=\"https:\/\/vestibulares.estrategiaeducacional.com.br\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Banco de Quest&otilde;es<\/a> abrange todas as disciplinas, com resolu&ccedil;&atilde;o de professores especialistas e muitos v&iacute;deos explicativos.&nbsp;<\/p><p class=\"wp-block-paragraph\">Nos cursos preparat&oacute;rios da Coruja, voc&ecirc; ter&aacute; acesso a aulas espec&iacute;ficas, de acordo com o conte&uacute;do program&aacute;tico de cada disciplina, com material did&aacute;tico de qualidade, em diferentes plataformas multim&iacute;dias. Clique no banner abaixo e saiba mais!<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"Um gr&aacute;fico em cinem&aacute;tica &eacute; uma ferramenta da f&iacute;sica para o estudo do movimento dos corpos no espa&ccedil;o.&hellip;\n","protected":false},"author":23,"featured_media":113482,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[],"class_list":["post-113513","post","type-post","status-publish","format-standard","has-post-thumbnail","category-fisica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v28.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Gr\u00e1fico em cinem\u00e1tica: defini\u00e7\u00e3o, eixos e interpreta\u00e7\u00f5es<\/title>\n<meta name=\"description\" content=\"Um gr\u00e1fico em cinem\u00e1tica \u00e9 uma ferramenta da f\u00edsica para o estudo do movimento dos corpos no 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