{"id":24998,"date":"2023-04-13T12:55:36","date_gmt":"2023-04-13T11:55:36","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24998"},"modified":"2023-04-13T13:29:39","modified_gmt":"2023-04-13T12:29:39","slug":"a-distancia-de-reacao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24998","title":{"rendered":"A dist\u00e2ncia de rea\u00e7\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_24998' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24998' class='GTTabs_curr'><a  id=\"24998_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24998' ><a  id=\"24998_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_24998'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A <strong>dist\u00e2ncia de rea\u00e7\u00e3o<\/strong> \u00e9 a dist\u00e2ncia percorrida por um autom\u00f3vel, desde que o condutor avista um obst\u00e1culo at\u00e9 ao momento em que come\u00e7a a travar.<\/p>\n<p>A dist\u00e2ncia de rea\u00e7\u00e3o depende, entre outros fatores, da velocidade a que o autom\u00f3vel circula.<\/p>\n<p>Em determinadas circunst\u00e2ncias, a rela\u00e7\u00e3o entre dist\u00e2ncia de rea\u00e7\u00e3o, <em>d<\/em>, em metros, e velocidade, <em>v<\/em>, em km\/h, pode ser traduzida pelo gr\u00e1fico seguinte.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24999\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24999\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2.png\" data-orig-size=\"515,277\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag164-T2-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2.png\" class=\"aligncenter wp-image-24999\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2-300x161.png\" alt=\"\" width=\"340\" height=\"183\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2-300x161.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2.png 515w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<ol>\n<li>De acordo com o gr\u00e1fico, a que velocidade circula o autom\u00f3vel do pai da Alice se a sua dist\u00e2ncia de rea\u00e7\u00e3o for de 60 metros?<\/li>\n<li>A rela\u00e7\u00e3o expressa no gr\u00e1fico \u00e9 de proporcionalidade direta? Porqu\u00ea?<\/li>\n<li>Qual das seguintes express\u00f5es representa a rela\u00e7\u00e3o entre a dist\u00e2ncia de rea\u00e7\u00e3o (<em>d<\/em>) e a velocidade a que um autom\u00f3vel circula (<em>v<\/em>), apresentada no gr\u00e1fico?<br \/>\n<strong>[A]<\/strong> \\(d = \\frac{{10}}{3}v\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> \\(d = \\frac{{100}}{3}v\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> \\(d = \\frac{3}{{100}}v\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> \\(d = \\frac{3}{{10}}v\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24998' onClick='GTTabs_show(1,24998)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24998'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote><p>A <strong>dist\u00e2ncia de rea\u00e7\u00e3o<\/strong> \u00e9 a dist\u00e2ncia percorrida por um autom\u00f3vel, desde que o condutor avista um obst\u00e1culo at\u00e9 ao momento em que come\u00e7a a travar.<\/p>\n<p>A dist\u00e2ncia de rea\u00e7\u00e3o depende, entre outros fatores, da velocidade a que o autom\u00f3vel circula.<\/p>\n<p>Em determinadas circunst\u00e2ncias, a rela\u00e7\u00e3o entre dist\u00e2ncia de rea\u00e7\u00e3o, <em>d<\/em>, em metros, e velocidade, <em>v<\/em>, em km\/h, pode ser traduzida pelo gr\u00e1fico seguinte.<\/p><\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24999\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24999\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2.png\" data-orig-size=\"515,277\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag164-T2-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2.png\" class=\"aligncenter wp-image-24999\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2-300x161.png\" alt=\"\" width=\"340\" height=\"183\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2-300x161.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2.png 515w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<ol>\n<li>De acordo com o gr\u00e1fico, o autom\u00f3vel do pai da Alice circula a 200 km\/h, se a sua dist\u00e2ncia de rea\u00e7\u00e3o for de 60 metros.<\/li>\n<li>Sim, a rela\u00e7\u00e3o expressa no gr\u00e1fico \u00e9 de proporcionalidade direta, pois o gr\u00e1fico est\u00e1 contido numa reta n\u00e3o vertical a que pertence a origem do referencial.<\/li>\n<li>A express\u00e3o que representa a rela\u00e7\u00e3o entre a dist\u00e2ncia de rea\u00e7\u00e3o (<em>d<\/em>) e a velocidade a que um autom\u00f3vel circula (<em>v<\/em>), apresentada no gr\u00e1fico, \u00e9 a da op\u00e7\u00e3o\u00a0<strong>[D]<\/strong> \\(d = \\frac{3}{{10}}v\\), pois \\(\\frac{d}{v} = \\frac{{60}}{{200}} \\Leftrightarrow d = \\frac{3}{{10}}v\\).<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24998' onClick='GTTabs_show(0,24998)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A dist\u00e2ncia de rea\u00e7\u00e3o \u00e9 a dist\u00e2ncia percorrida por um autom\u00f3vel, desde que o condutor avista um obst\u00e1culo at\u00e9 ao momento em que come\u00e7a a travar. A dist\u00e2ncia de rea\u00e7\u00e3o depende,&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25000,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,710,344],"series":[],"class_list":["post-24998","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-graficos-de-funcoes-afins","tag-8-o-ano","tag-funcao-linear","tag-grafico"],"views":252,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24998"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24998\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25000"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24998"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24998"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24998"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}