{"id":529,"date":"2011-08-14T19:45:50","date_gmt":"2011-08-14T17:45:50","guid":{"rendered":"http:\/\/www.zsvltava.cz\/fyzika\/?p=529"},"modified":"2025-04-10T09:22:00","modified_gmt":"2025-04-10T07:22:00","slug":"reseny-priklad-na-vypocet-rychlosti","status":"publish","type":"post","link":"https:\/\/www.zsvltava.cz\/fyzika\/?p=529","title":{"rendered":"\u0158e\u0161en\u00fd p\u0159\u00edklad na v\u00fdpo\u010det rychlosti &#8211; z\u00e1vod cyklist\u016f"},"content":{"rendered":"<p>Dva kluci ze \u0160v\u00e9dska si dali z\u00e1vody na kole po 3 km dlouh\u00e9 trati. Ingvar jel rychlost\u00ed 15 km\/h a Alrik jel pr\u016fm\u011brnou rychlosti 20 km\/h. O kolik minut byl rychlej\u0161\u00ed jezdec v c\u00edli d\u0159\u00edve?<\/p>\n<p>s = 3 km<br \/>\nv<sub>I<\/sub> = 15 km\/h<br \/>\nv<sub>A<\/sub> = 18 km\/h<br \/>\nrozd\u00edl t<sub>I<\/sub> &#8211; t<sub>A<\/sub>  = ? min<\/p>\n<hr \/>\n<p>v<sub>A<\/sub> &gt; v<sub>I<\/sub>  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  Alrik jel v\u011bt\u0161\u00ed rychlost\u00ed,  tud\u00ed\u017e byl v c\u00edli prvn\u00ed.<\/p>\n<p><em>Abychom zjistili jak\u00fd je mezi nim rozd\u00edl, mus\u00edme nejprve v\u011bd\u011bt, jak dlouho jel ka\u017ed\u00fd z nich.<\/em><\/p>\n<p><strong>t = s : v<\/strong><\/p>\n<table>\n<thead>\n<tr>\n<th>jak dlouho jel tra\u0165 Ingvar<\/th>\n<th>jak dlouho jel tra\u0165 Alrik<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\nt<sub>I<\/sub> = s : v<sub>I<\/sub><br \/>\nt<sub>I<\/sub> = 3 : 15<br \/>\nt<sub>I<\/sub> = 0,2 h\n<\/td>\n<td>\nt<sub>A<\/sub> = s : v<sub>A<\/sub><br \/>\nt<sub>A<\/sub> = 3 : 18<br \/>\nt<sub>A<\/sub> = 0,17 h\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><em>Rozd\u00edl mezi t\u011bmito \u010dasy mi \u0159\u00edk\u00e1, o kolik dojel v\u00edt\u011bz d\u0159\u00edve:<\/em><\/p>\n<p>t =  t<sub>I<\/sub> &#8211; t<sub>A<\/sub><br \/>\nt = 0,03 h<\/p>\n<p><em>Jeliko\u017e jsme dosazovali v hodin\u00e1ch, m\u00e1me i v\u00fdsledek v hodin\u00e1ch. P\u0159epo\u010d\u00edt\u00e1me na minuty. Pot\u0159ebujeme zjistit kolik jsou 3 setiny z hodiny.<\/em><\/p>\n<p>1 hodina je 60 min.<br \/>\n1 setina z hodiny je tedy 60:100 = 0,6 min<br \/>\n3 setiny jsou tedy: 3.0,6 min = 1,8 min<\/p>\n<p><strong>Alrik bude v c\u00edli d\u0159\u00edv p\u0159ibli\u017en\u011b o 2 minuty.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dva kluci ze \u0160v\u00e9dska si dali z\u00e1vody na kole po 3 km dlouh\u00e9 trati. Ingvar jel rychlost\u00ed 15 km\/h a Alrik jel pr\u016fm\u011brnou rychlosti 20 &#8230;. <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[39],"tags":[23,28],"class_list":["post-529","post","type-post","status-publish","format-standard","hentry","category-priklady-pro-6-rocnik","tag-reseny-priklad","tag-vypocet-rychlosti"],"_links":{"self":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/529","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=529"}],"version-history":[{"count":0,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/529\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=529"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=529"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}