{"id":11663,"date":"2013-02-21T22:07:32","date_gmt":"2013-02-21T22:07:32","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11663"},"modified":"2022-01-11T22:10:47","modified_gmt":"2022-01-11T22:10:47","slug":"um-passeio-ao-longo-da-marginal","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11663","title":{"rendered":"Um passeio ao longo da marginal"},"content":{"rendered":"<p><ul id='GTTabs_ul_11663' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11663' class='GTTabs_curr'><a  id=\"11663_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11663' ><a  id=\"11663_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_11663'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Num passeio que deu ao longo da marginal da sua cidade, o Pedro partiu de um caf\u00e9 a $5$ km da sua resid\u00eancia e seguiu a caminho de casa, sempre a andar ao mesmo ritmo. Pelo seu rel\u00f3gio, concluiu que andou cada quil\u00f3metro em $15$ minutos.<\/p>\n<ol>\n<li>Complete a seguinte tabela:<br \/>\n<table class=\"aligncenter\" style=\"width: 60%;\" border=\"2\" cellspacing=\"4\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"border-color: #b8b2b2;\">Tempo, $t$, em minutos<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\">$0$<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\"><\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\">$30$<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-color: #b8b2b2;\">Dist\u00e2ncia do Pedro a casa, $d$, em quil\u00f3metros<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\"><\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\">$4$<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\"><\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\">$0$<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>Escreva uma express\u00e3o que represente a dist\u00e2ncia a que o Pedro\u00a0se encontra de casa, em cada momento.<\/li>\n<li>Quanto tempo demorou o Pedro a chegar a casa?<\/li>\n<li>Construa o gr\u00e1fico que corresponde \u00e0quele passeio.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11663' onClick='GTTabs_show(1,11663)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11663'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>\n<table class=\"aligncenter\" style=\"width: 60%;\" border=\"2\" cellspacing=\"4\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"border-color: #b8b2b2;\">Tempo, $t$, em minutos<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\">$0$<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\"><span style=\"color: #0000ff;\">$15$<\/span><\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\">$30$<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\"><span style=\"color: #0000ff;\">$75$<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border-color: #b8b2b2;\">Dist\u00e2ncia do Pedro a casa, $d$, em quil\u00f3metros<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\"><span style=\"color: #0000ff;\">$5$<\/span><\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\">$4$<\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\"><span style=\"color: #0000ff;\">$3$<\/span><\/td>\n<td style=\"border-color: #b8b2b2; text-align: center;\">$0$<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>O Pedro andou a uma velocidade constante de $\\frac{1}{{15}}\\,\\,km\/\\min $.<br \/>\nAssim, uma express\u00e3o que representa a dist\u00e2ncia a que o Pedro se encontra de casa, em cada momento, \u00e9 $d = 5 &#8211; \\frac{1}{{15}}t$, com $0 \\leqslant t \\leqslant 75$.<br \/>\n\u00ad<\/li>\n<li>O Pedro\u00a0chega a casa no instante em que $d = 0$.<br \/>\nOra, $d = 0 \\Leftrightarrow 5 &#8211; \\frac{1}{{15}}t = 0 \\Leftrightarrow t = 75$.<br \/>\nPortanto, o Pedro demorou $75$ minutos a chegar a casa (como j\u00e1 se tinha conclu\u00eddo em 1.).<br \/>\n\u00ad<\/li>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/10-pag38-1-V2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11670\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11670\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/10-pag38-1-V2.png\" data-orig-size=\"516,197\" 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;}\" data-image-title=\"Gr\u00e1fico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/10-pag38-1-V2.png\" class=\"alignnone wp-image-11670 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/10-pag38-1-V2.png\" alt=\"Gr\u00e1fico\" width=\"516\" height=\"197\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/10-pag38-1-V2.png 516w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/10-pag38-1-V2-300x114.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/10-pag38-1-V2-150x57.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/10-pag38-1-V2-400x152.png 400w\" sizes=\"auto, (max-width: 516px) 100vw, 516px\" \/><\/a><\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11663' onClick='GTTabs_show(0,11663)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Num passeio que deu ao longo da marginal da sua cidade, o Pedro partiu de um caf\u00e9 a $5$ km da sua resid\u00eancia e seguiu a caminho de casa, sempre a&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19343,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[321,97,343],"tags":[429,345,344],"series":[],"class_list":["post-11663","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-10-o-ano","category-aplicando","category-funcoes-e-graficos","tag-10-o-ano","tag-funcao-afim","tag-grafico"],"views":2749,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2013\/02\/Av_Marginal_Oeiras.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11663","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=11663"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11663\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19343"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11663"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11663"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11663"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11663"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}