{"id":4871,"date":"2024-11-25T18:54:48","date_gmt":"2024-11-25T17:54:48","guid":{"rendered":"https:\/\/www.zsvltava.cz\/fyzika\/?p=4871"},"modified":"2025-09-30T20:51:18","modified_gmt":"2025-09-30T18:51:18","slug":"znazorneni-pohybu-grafem-vylet-k-babicce","status":"publish","type":"post","link":"https:\/\/www.zsvltava.cz\/fyzika\/?p=4871","title":{"rendered":"Zn\u00e1zorn\u011bn\u00ed pohybu grafem &#8211; v\u00fdlet k babi\u010dce"},"content":{"rendered":"<p>Lojza a Maru\u0161ka jedou na kole za babi\u010dkou. Ta bydl\u00ed 5 km daleko. Maru\u0161ka jede rychlost\u00ed 15 km\/h. Lojza jede rychlost\u00ed 20 km\/h, ale vyraz\u00ed a\u017e 5 minut po Maru\u0161ce.<br \/>\nDo jednoho grafu zn\u00e1zorni cestu Maru\u0161ky a Lojzy. Zaznamenej, jak se m\u011bn\u00ed dr\u00e1ha a \u010das. <\/p>\n<p><strong>Z grafu zjisti, kde se Maru\u0161ka s Lojzou potkaj\u00ed. Bude to tam, kde se protnou \u010d\u00e1ry graf\u016f jejich cest. <\/strong><\/p>\n<h2>\u0158e\u0161en\u00ed p\u0159\u00edkladu<\/h2>\n<h3>Logickou \u00favahou<\/h3>\n<p>Maru\u0161ka jede 15 km\/h. Tzn., 15 km za 60 minut. 1 km j\u00ed tedy potrv\u00e1 (60:15) = 4 minuty.<br \/>\nStejn\u00fdm zp\u016fsobem zjist\u00edme, \u017ee Lojzovi potrv\u00e1 1 km 3 minuty.<\/p>\n<h3>V\u00fdpo\u010dtem<\/h3>\n<p>s = 5 km (cesta k babi\u010dce)<br \/>\nv<sub>M<\/sub> = 15 km\/h<br \/>\nv<sub>L<\/sub> = 20 km\/h<br \/>\nt<sub>M<\/sub> = ? h<br \/>\nt<sub>L<\/sub> = ? h<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 58px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-bc7ae61649f09d6ec458a9460eeae9e8_l3.png\" height=\"58\" width=\"360\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#116;&#95;&#77;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#115;&#125;&#123;&#118;&#95;&#77;&#125;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#92;&#44;&#107;&#109;&#125;&#123;&#49;&#53;&#92;&#44;&#92;&#102;&#114;&#97;&#99;&#123;&#107;&#109;&#125;&#123;&#104;&#125;&#125;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#92;&#59;&#104;&#32;&#61;&#32;&#50;&#48;&#92;&#59;&#109;&#105;&#110; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 58px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-c6c2c97b68a316e3726dc1594190565d_l3.png\" height=\"58\" width=\"346\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#116;&#95;&#76;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#115;&#125;&#123;&#118;&#95;&#76;&#125;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#53;&#92;&#44;&#107;&#109;&#125;&#123;&#50;&#48;&#92;&#44;&#92;&#102;&#114;&#97;&#99;&#123;&#107;&#109;&#125;&#123;&#104;&#125;&#125;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;&#92;&#59;&#104;&#32;&#61;&#32;&#49;&#53;&#92;&#59;&#109;&#105;&#110; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p>V obou p\u0159\u00edpadech jsme zjistili, za jak dlouho dojedou k babi\u010dce. U Lojzy nezapomeneme posunout start o 5 minut.<\/p>\n<h3>V\u00fdsledn\u00fd graf (interaktivn\u00ed, Geogebra)<\/h3>\n<p><iframe loading=\"lazy\" scrolling=\"no\" title=\"Pr\u016fnik 2 cest (P\u0159\u00edklad cesta na kolech)\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/mfgt8zym\/width\/1200\/height\/550\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/true\/ld\/true\/sdz\/true\/ctl\/true\" width=\"1200px\" height=\"550px\" style=\"border:0px;\"> <\/iframe><\/p>\n<p>&#8211; <a href=\"https:\/\/www.geogebra.org\/m\/mfgt8zym\">Otev\u0159\u00edt v Geogeb\u0159e<\/a><br \/>\n&#8211; <a href=\"\/fyzika\/wp-content\/uploads\/2024\/11\/Vylet-k-babicce-LM.xlsx\">Verze ve form\u00e1tu .xls pro experimenty<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lojza a Maru\u0161ka jedou na kole za babi\u010dkou. Ta bydl\u00ed 5 km daleko. Maru\u0161ka jede rychlost\u00ed 15 km\/h. Lojza jede rychlost\u00ed 20 km\/h, ale vyraz\u00ed &#8230;. <\/p>\n","protected":false},"author":1,"featured_media":4877,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[40],"tags":[91,23,28],"class_list":["post-4871","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-priklady-pro-7-rocnik","tag-graf","tag-reseny-priklad","tag-vypocet-rychlosti"],"_links":{"self":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/4871","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4871"}],"version-history":[{"count":2,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/4871\/revisions"}],"predecessor-version":[{"id":6115,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/4871\/revisions\/6115"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/media\/4877"}],"wp:attachment":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4871"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4871"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4871"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}