{"id":27251,"date":"2021-09-25T13:00:34","date_gmt":"2021-09-25T13:00:34","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27251"},"modified":"2024-09-16T11:51:38","modified_gmt":"2024-09-16T11:51:38","slug":"%d0%ba%d0%b0%d0%ba-%d1%80%d0%b0%d1%81%d1%81%d1%87%d0%b8%d1%82%d0%b0%d1%82%d1%8c-%d0%b4%d0%b2%d0%b8%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d1%81%d0%bd%d0%b0%d1%80%d1%8f%d0%b4%d0%b0","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ru\/%d0%ba%d0%b0%d0%ba-%d1%80%d0%b0%d1%81%d1%81%d1%87%d0%b8%d1%82%d0%b0%d1%82%d1%8c-%d0%b4%d0%b2%d0%b8%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d1%81%d0%bd%d0%b0%d1%80%d1%8f%d0%b4%d0%b0\/","title":{"rendered":"\u0414\u0432\u0438\u0436\u0435\u043d\u0438\u0435 \u0441\u043d\u0430\u0440\u044f\u0434\u0430"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0414\u0432\u0438\u0436\u0435\u043d\u0438\u0435 \u0441\u043d\u0430\u0440\u044f\u0434\u0430<\/h1>\n<p><em><strong>\u0420\u0435\u0437\u044e\u043c\u0435:<\/strong><br \/>\n\u041d\u0430 \u044d\u0442\u043e\u043c \u0437\u0430\u043d\u044f\u0442\u0438\u0438 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0432\u0441\u0435 \u043a\u0438\u043d\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0430\u0441\u043f\u0435\u043a\u0442\u044b \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430, \u0447\u0442\u043e \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0432\u0430\u0436\u043d\u043e\u0439 \u0442\u0435\u043c\u043e\u0439 \u0432 \u0444\u0438\u0437\u0438\u043a\u0435 \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u044f\u0435\u0442 \u043d\u0430\u0448\u0435 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0435 \u0438\u0437\u0443\u0447\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u043d\u043e\u0433\u043e \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f. \u041c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0441\u043d\u044f\u0442\u0438\u0435 \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0438\u044f \u043d\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442 \u043a \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u044f\u043c, \u0442\u0438\u043f\u0438\u0447\u043d\u044b\u043c \u0434\u043b\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u043e\u0432. \u041c\u044b \u0438\u0437\u0443\u0447\u0438\u043c, \u043a\u0430\u043a \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u044b\u0435 \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u0438 \u0432 \u043b\u044e\u0431\u043e\u043c \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0438, \u0432 \u0441\u043e\u0447\u0435\u0442\u0430\u043d\u0438\u0438 \u0441 \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u0438\u0435\u043c, \u0432\u044b\u0437\u0432\u0430\u043d\u043d\u044b\u043c \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u0435\u0439, \u0444\u043e\u0440\u043c\u0438\u0440\u0443\u044e\u0442 \u044d\u0442\u0438 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f.<br \/>\n.<\/em><\/p>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><strong>\u0426\u0415\u041b\u0418 \u041e\u0411\u0423\u0427\u0415\u041d\u0418\u042f:<\/strong><br \/>\n\u041a \u043a\u043e\u043d\u0446\u0443 \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043d\u044f\u0442\u0438\u044f \u0441\u0442\u0443\u0434\u0435\u043d\u0442 \u0441\u043c\u043e\u0436\u0435\u0442:<\/p>\n<ol>\n<li><strong>\u0417\u0430\u043f\u043e\u043c\u043d\u0438\u0442\u044c<\/strong> \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0435 \u0441 \u0437\u0430\u043f\u0443\u0441\u043a\u043e\u043c \u0441\u043d\u0430\u0440\u044f\u0434\u043e\u0432 (\u0442\u0430\u043a\u0438\u0435 \u043a\u0430\u043a \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c, \u0443\u0433\u043e\u043b \u0437\u0430\u043f\u0443\u0441\u043a\u0430, \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u0438\u0435 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e\u0433\u043e \u043f\u0430\u0434\u0435\u043d\u0438\u044f).<\/li>\n<li><strong>\u0413\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u0438 \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c<\/strong> \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u044e \u0441\u043d\u0430\u0440\u044f\u0434\u0430.<\/li>\n<li><strong>\u041e\u0431\u044a\u044f\u0441\u043d\u044f\u0442\u044c<\/strong> \u043a\u0430\u043a \u0440\u0430\u0437\u043d\u044b\u0435 \u0444\u0430\u0437\u044b \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f (\u043f\u043e\u0434\u044a\u0435\u043c, \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u0442\u043e\u0447\u043a\u0430, \u0441\u043f\u0443\u0441\u043a) \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0441 \u043a\u0438\u043d\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c\u0438.<\/li>\n<li><strong>\u0420\u0435\u0448\u0430\u0442\u044c<\/strong> \u0437\u0430\u0434\u0430\u0447\u0438, \u0432\u043a\u043b\u044e\u0447\u0430\u044e\u0449\u0438\u0435 \u0440\u0430\u0441\u0447\u0435\u0442 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u044b\u0441\u043e\u0442\u044b, \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0434\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u0438 \u043e\u0431\u0449\u0435\u0433\u043e \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u043f\u043e\u043b\u0435\u0442\u0430 \u0441\u043d\u0430\u0440\u044f\u0434\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f.<\/li>\n<li><strong>\u0420\u0430\u0437\u0431\u0438\u0440\u0430\u0442\u044c<\/strong> \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043d\u044f\u0442\u044c, \u043a\u0430\u043a \u043a\u0430\u0436\u0434\u044b\u0439 \u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442 (\u043d\u0430\u0447\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c, \u0443\u0433\u043e\u043b \u0437\u0430\u043f\u0443\u0441\u043a\u0430, \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u0438\u0435 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e\u0433\u043e \u043f\u0430\u0434\u0435\u043d\u0438\u044f) \u0432\u043b\u0438\u044f\u0435\u0442 \u043d\u0430 \u043e\u0431\u0449\u0443\u044e \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u044e.<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>\u0421\u041e\u0414\u0415\u0420\u0416\u0410\u041d\u0418\u0415:<\/strong><br \/>\n<a href=\"#1\"><strong>\u0412\u0432\u0435\u0434\u0435\u043d\u0438\u0435<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u0420\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430<\/strong><\/a><br \/>\n<a href=\"#3\">\u041a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0443\u044e \u0432\u044b\u0441\u043e\u0442\u0443, \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0443\u0442\u0443\u044e \u0441\u043d\u0430\u0440\u044f\u0434\u043e\u043c?<\/a><br \/>\n<a href=\"#4\">\u041a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0434\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430?<\/a><br \/>\n<a href=\"#5\">\u041a\u0430\u043a\u043e\u0439 \u0443\u0433\u043e\u043b \u0437\u0430\u043f\u0443\u0441\u043a\u0430 \u043c\u0430\u043a\u0441\u0438\u043c\u0438\u0437\u0438\u0440\u0443\u0435\u0442 \u0434\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u043b\u0435\u0442\u0430 \u0441\u043d\u0430\u0440\u044f\u0434\u0430?<\/a><br \/>\n<a href=\"#6\"><strong>\u041f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f<\/strong><\/a>\n<\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/_dXgQ_7u5GE\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0412\u0432\u0435\u0434\u0435\u043d\u0438\u0435<\/h2>\n<p style=\"text-align: justify; color: #000000;\">\u041d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0445 \u0437\u0430\u043d\u044f\u0442\u0438\u044f\u0445 \u043c\u044b \u0438\u0437\u0443\u0447\u0430\u043b\u0438 <a href=\"https:\/\/www.youtube.com\/watch?v=P21bsNFF9Fw\" rel=\"noopener\" target=\"_blank\">\u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u043d\u043e\u0435 \u043f\u0440\u044f\u043c\u043e\u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0435<\/a> \u0438 \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u0447\u0442\u043e \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442, \u043a\u043e\u0433\u0434\u0430 \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u043e\u0435 \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0432 \u0442\u043e\u043c \u0436\u0435 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0438, \u0447\u0442\u043e \u0438 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0435. \u041a\u043e\u0433\u0434\u0430 \u043c\u044b \u0443\u0431\u0438\u0440\u0430\u0435\u043c \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0438\u0435 \u043d\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u043d\u043e\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0435, \u043d\u043e \u0443\u0436\u0435 \u043d\u0435 \u043f\u0440\u044f\u043c\u043e\u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0435. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0435 \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u043f\u043e \u0434\u0443\u0433\u0435 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b, \u0438 \u0437\u0434\u0435\u0441\u044c \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u0442\u0441\u044f \u0438\u0437\u0443\u0447\u0435\u043d\u0438\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0412 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0438 \u0441\u043d\u0430\u0440\u044f\u0434\u0430 \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c \u0437\u0430\u0434\u0430\u0435\u0442\u0441\u044f \u0432 \u043b\u044e\u0431\u043e\u043c \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0438, \u0432 \u0442\u043e \u0432\u0440\u0435\u043c\u044f \u043a\u0430\u043a \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u0438\u0435 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u043e \u0432\u0434\u043e\u043b\u044c \u0442\u0438\u043f\u0438\u0447\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u0438. \u041a\u043e\u0433\u0434\u0430 \u0441\u043d\u0430\u0440\u044f\u0434 \u0437\u0430\u043f\u0443\u0441\u043a\u0430\u0435\u0442\u0441\u044f \u043f\u0440\u044f\u043c\u043e \u0432\u0432\u0435\u0440\u0445, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0439 \u0437\u0430\u043f\u0443\u0441\u043a, \u0447\u0442\u043e \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0443\u0447\u0430\u0435\u043c \u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u043d\u043e\u0433\u043e \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f.<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u0420\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=_dXgQ_7u5GE&amp;t=172s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0447\u0442\u043e \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043d\u0430\u0440\u044f\u0434<\/span><\/strong><\/a>, \u0437\u0430\u043f\u0443\u0449\u0435\u043d\u043d\u044b\u0439 \u0432 \u0432\u043e\u0437\u0434\u0443\u0445 \u0441 \u0437\u0435\u043c\u043b\u0438 \u043f\u0443\u0448\u043a\u043e\u0439 \u0441 \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c\u044e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_0<\/span><\/span> \u0438 \u0443\u0433\u043b\u043e\u043c \u043d\u0430\u043a\u043b\u043e\u043d\u0430 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\theta.<\/span><\/span> \u0414\u0432\u0438\u0436\u0435\u043d\u0438\u0435 \u044d\u0442\u043e\u0433\u043e \u0441\u043d\u0430\u0440\u044f\u0434\u0430 \u043c\u043e\u0436\u043d\u043e \u0441\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u0442\u044c, \u0431\u0435\u0437 \u043f\u0440\u043e\u0431\u043b\u0435\u043c \u0438\u0437\u0432\u043b\u0435\u043a\u0430\u044f \u0435\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u0438 \u0438\u0437 \u043f\u0440\u0435\u0434\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u0439 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0438. \u042d\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0432\u044b\u0433\u043b\u044f\u0434\u044f\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\vec{a}(t) &amp; = (0,-g) \\\\ \\\\\n\n\\vec{v}(t) &amp; =\\displaystyle \\int (0,-g) dt = (v_{0x}, -gt+v_{0y})\\\\ \\\\\n\n\\vec{r}(t) &amp; =\\displaystyle \\int (v_{0x}, -gt+v_{0y}) dt = \\left(v_{0x}t + x_0, -\\frac{1}{2}gt^2+v_{0y}t + y_0\\right)\n\n\\end{array}<\/span><\/span><\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-JQFKmGORl8A\/YVB9tKzayMI\/AAAAAAAAFks\/KPaXIUIcIVQ2yOAa_N9leIPgcZY6iv5zQCLcBGAsYHQ\/s0\/proyectil.PNG\" width=\"694\" height=\"390\" alt=\"\u0417\u0430\u043f\u0443\u0441\u043a \u0441\u043d\u0430\u0440\u044f\u0434\u043e\u0432\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-JQFKmGORl8A\/YVB9tKzayMI\/AAAAAAAAFks\/KPaXIUIcIVQ2yOAa_N9leIPgcZY6iv5zQCLcBGAsYHQ\/s0\/proyectil.PNG\" width=\"694\" height=\"390\" alt=\"\u0417\u0430\u043f\u0443\u0441\u043a \u0441\u043d\u0430\u0440\u044f\u0434\u043e\u0432\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0413\u0434\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_{0} = (v_{0x},v_{0y})<\/span><\/span> \u044d\u0442\u043e \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{r}_0=(x_0,y_0)<\/span><\/span> \u044d\u0442\u043e \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435, \u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">g=9.81[m\/s^2]<\/span><\/span> \u044d\u0442\u043e \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430 \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u0438\u044f \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e\u0433\u043e \u043f\u0430\u0434\u0435\u043d\u0438\u044f. \u0422\u0435\u043f\u0435\u0440\u044c, \u0435\u0441\u043b\u0438 \u043c\u044b \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0439 \u0430\u0431\u0437\u0430\u0446, \u043c\u044b \u0437\u0430\u043c\u0435\u0442\u0438\u043c, \u0447\u0442\u043e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c \u0441\u043d\u0430\u0440\u044f\u0434\u0430 \u043d\u0435 \u0443\u043a\u0430\u0437\u0430\u043d\u0430 \u043d\u0430\u043f\u0440\u044f\u043c\u0443\u044e, \u0430 \u0443\u043a\u0430\u0437\u0430\u043d\u044b \u0435\u0433\u043e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c \u0438 \u0443\u0433\u043e\u043b \u0437\u0430\u043f\u0443\u0441\u043a\u0430. \u0418\u0437 \u044d\u0442\u043e\u0439 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0438 \u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u0443\u044e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nv_{0x} &amp;= v_0 \\cos(\\theta) \\\\\n\nv_{0y} &amp;= v_0 \\sin(\\theta)\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0413\u0434\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_0 = \\|\\vec{v}_0\\|<\/span><\/span> \u044d\u0442\u043e \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430 \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u0438. \u0415\u0441\u043b\u0438 \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u0434\u043e\u0431\u0430\u0432\u0438\u043c \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(x_0,y_0)=(0,0)<\/span><\/span>, \u0442\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u0438 \u043f\u0440\u0438\u043c\u0443\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0432\u0438\u0434:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\vec{a}(t) &amp; = (0,-g) \\\\ \\\\\n\n\\vec{v}(t) &amp; =(v_{0}\\cos(\\theta), -gt+v_{0}\\sin(\\theta)\\\\ \\\\\n\n\\vec{r}(t) &amp; \\displaystyle =\\left(v_{0}\\cos(\\theta)t , -\\frac{1}{2}gt^2+v_{0}\\sin(\\theta)t \\right)\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0421 \u044d\u0442\u0438\u043c\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c\u0438 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043e\u0442\u0432\u0435\u0442\u0438\u0442\u044c \u043d\u0430 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0432\u043e\u043f\u0440\u043e\u0441\u044b, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0435 \u0441 \u0437\u0430\u043f\u0443\u0441\u043a\u043e\u043c \u0441\u043d\u0430\u0440\u044f\u0434\u0430: \u043a\u0430\u043a \u0434\u0430\u043b\u0435\u043a\u043e \u043e\u043d \u043f\u0440\u043e\u043b\u0435\u0442\u0438\u0442? \u043a\u0430\u043a\u043e\u0432\u0430 \u0432\u044b\u0441\u043e\u0442\u0430, \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043d \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0435\u0442? \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u043f\u043e\u0442\u0440\u0435\u0431\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043f\u0430\u0434\u0435\u043d\u0438\u044f? \u0438 \u0442.\u0434.<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u041a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0443\u044e \u0432\u044b\u0441\u043e\u0442\u0443, \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0443\u0442\u0443\u044e \u0441\u043d\u0430\u0440\u044f\u0434\u043e\u043c?<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=_dXgQ_7u5GE&amp;t=398s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0427\u0442\u043e\u0431\u044b \u043e\u0442\u0432\u0435\u0442\u0438\u0442\u044c \u043d\u0430 \u044d\u0442\u043e\u0442 \u0432\u043e\u043f\u0440\u043e\u0441<\/span><\/strong><\/a> \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0437\u0430\u0434\u0430\u0442\u044c\u0441\u044f \u0432\u043e\u043f\u0440\u043e\u0441\u043e\u043c: \u0447\u0442\u043e \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442, \u043a\u043e\u0433\u0434\u0430 \u0441\u043d\u0430\u0440\u044f\u0434 \u0434\u043e\u0441\u0442\u0438\u0433\u0430\u0435\u0442 \u0441\u0432\u043e\u0435\u0439 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u044b\u0441\u043e\u0442\u044b? \u041f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u0442\u043e, \u0447\u0442\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u0430 \u0435\u0433\u043e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u0438 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u043d\u0443\u043b\u0435\u0432\u043e\u0439, \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> -gt+v_{0}\\sin(\\theta) = 0 <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u042d\u0442\u043e \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u044e:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> t = \\displaystyle \\frac{v_{0}\\sin(\\theta)}{g} <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0422\u043e \u0435\u0441\u0442\u044c \u0441\u043d\u0430\u0440\u044f\u0434 \u0434\u043e\u0441\u0442\u0438\u0433\u0430\u0435\u0442 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u044b\u0441\u043e\u0442\u044b \u0447\u0435\u0440\u0435\u0437 \u0432\u0440\u0435\u043c\u044f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">t=v_0\\sin(\\theta)\/g<\/span><\/span> \u043f\u043e\u0441\u043b\u0435 \u0437\u0430\u043f\u0443\u0441\u043a\u0430. \u041c\u044b \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c \u044d\u0442\u043e \u00ab\u0432\u0440\u0435\u043c\u044f \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u044b\u0441\u043e\u0442\u044b\u00bb \u0438 \u0437\u0430\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u043c:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{t_{alt.max} = \\frac{v_{0}\\sin(\\theta)}{g}}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0417\u0430\u0442\u0435\u043c \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u0432\u044b\u0441\u043e\u0442\u0430, \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043c\u043e\u0436\u0435\u0442 \u0434\u043e\u0441\u0442\u0438\u0447\u044c \u0441\u043d\u0430\u0440\u044f\u0434, \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0430 \u043f\u0443\u0442\u0435\u043c \u0437\u0430\u043c\u0435\u043d\u044b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">t=t_{alt.max}<\/span><\/span> \u0432 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430, \u043f\u043e\u043b\u0443\u0447\u0430\u044f:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\ny_{alt.max} &amp; = \\displaystyle -\\frac{1}{2}gt_{alt.max}^2+v_{0}\\sin(\\theta)t_{alt.max}\\\\ \\\\\n\n&amp; =\\displaystyle-\\frac{1}{2}g \\left(\\frac{v_{0}\\sin(\\theta)}{g} \\right)^2 + v_{0}\\sin(\\theta) \\frac{v_{0}\\sin(\\theta)}{g} \\\\ \\\\\n\n&amp; =\\displaystyle-\\frac{1}{2} \\frac{v_{0}^2\\sin^2(\\theta)}{g} + \\frac{v_{0}^2\\sin^2(\\theta)}{g} \\\\ \\\\\n\n&amp; =\\displaystyle \\frac{v_{0}^2\\sin^2(\\theta)}{2g}\n\n\\end{array}<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u041a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0434\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430?<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=_dXgQ_7u5GE&amp;t=653s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0415\u0441\u043b\u0438 \u0432\u044b \u0445\u043e\u0442\u0438\u0442\u0435 \u0443\u0437\u043d\u0430\u0442\u044c<\/span><\/strong><\/a> \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0441\u043d\u0430\u0440\u044f\u0434 \u043f\u0440\u043e\u043b\u0435\u0442\u0438\u0442 \u0434\u043e \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u043a\u0430\u0441\u0430\u043d\u0438\u044f \u0437\u0435\u043c\u043b\u0438, \u0432\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u043f\u0440\u043e\u0441\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u0438, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0435 \u0441 \u0437\u0430\u043f\u0443\u0441\u043a\u043e\u043c \u0441\u043d\u0430\u0440\u044f\u0434\u0430. \u041d\u043e \u043a\u0430\u043a \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c? \u041f\u0440\u043e\u0441\u0442\u043e: \u0447\u0442\u043e \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442, \u043a\u043e\u0433\u0434\u0430 \u0441\u043d\u0430\u0440\u044f\u0434 \u043a\u0430\u0441\u0430\u0435\u0442\u0441\u044f \u0437\u0435\u043c\u043b\u0438? \u041f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u0442\u043e, \u0447\u0442\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u0430\u044f \u0441 \u0432\u044b\u0441\u043e\u0442\u043e\u0439, \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u043e\u0439 \u043d\u0443\u043b\u044e, \u0442\u043e \u0435\u0441\u0442\u044c:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle -\\frac{1}{2}gt^2+v_{0}\\sin(\\theta)t = 0\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0417\u0434\u0435\u0441\u044c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u0432\u0440\u0435\u043c\u0435\u043d\u0438, \u043a\u043e\u0433\u0434\u0430 \u0441\u043d\u0430\u0440\u044f\u0434 \u043a\u0430\u0441\u0430\u0435\u0442\u0441\u044f \u0437\u0435\u043c\u043b\u0438, \u0447\u0442\u043e \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u0432 \u0434\u0432\u0443\u0445 \u0441\u043b\u0443\u0447\u0430\u044f\u0445: \u0432 \u043c\u043e\u043c\u0435\u043d\u0442 \u0437\u0430\u043f\u0443\u0441\u043a\u0430 \u0438 \u043f\u0440\u0438 \u043f\u0430\u0434\u0435\u043d\u0438\u0438, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u0430\u043a\u043e\u0432\u044b:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nt &amp; = 0\\\\ \\\\\n\nt &amp; = \\displaystyle \\frac{2v_0 \\sin(\\theta)}{g}\n\n\\end{array}\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u041d\u0435\u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043c\u044b \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c \u00ab\u0432\u0440\u0435\u043c\u0435\u043d\u0435\u043c \u043f\u0430\u0434\u0435\u043d\u0438\u044f\u00bb \u0438 \u0437\u0430\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u043c:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{t_{caida} = \\displaystyle \\frac{2v_0 \\sin(\\theta)}{g}}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0415\u0441\u043b\u0438 \u0432\u044b \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u0432\u044b\u0448\u0435, \u0432\u044b \u0437\u0430\u043c\u0435\u0442\u0438\u0442\u0435, \u0447\u0442\u043e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">t_{caida} = 2t_{alt.max}<\/span><\/span> \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0432\u0440\u0435\u043c\u044f, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0435 \u0441\u043d\u0430\u0440\u044f\u0434\u0443 \u0434\u043b\u044f \u0434\u043e\u0441\u0442\u0438\u0436\u0435\u043d\u0438\u044f \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u044b\u0441\u043e\u0442\u044b, \u0440\u0430\u0432\u043d\u043e \u0432\u0440\u0435\u043c\u0435\u043d\u0438, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u043c\u0443 \u0434\u043b\u044f \u043f\u0430\u0434\u0435\u043d\u0438\u044f \u0441 \u0435\u0433\u043e \u0441\u0430\u043c\u043e\u0439 \u0432\u044b\u0441\u043e\u043a\u043e\u0439 \u0442\u043e\u0447\u043a\u0438. \u042d\u0442\u043e \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0443\u044e \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0432 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0438 \u0441\u043d\u0430\u0440\u044f\u0434\u0430. \u041d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435, \u044d\u0442\u0430 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f \u043f\u0440\u043e\u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0437\u0430\u043c\u0435\u0447\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u0430\u044f \u0441 \u0432\u044b\u0441\u043e\u0442\u043e\u0439, \u0438\u043c\u0435\u0435\u0442 \u0444\u043e\u0440\u043c\u0443 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0417\u043d\u0430\u044f \u0432\u0440\u0435\u043c\u044f \u043f\u0430\u0434\u0435\u043d\u0438\u044f, \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0441\u043d\u0430\u0440\u044f\u0434 \u043f\u0440\u043e\u043b\u0435\u0442\u0435\u043b \u0434\u043e \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u043a\u0430\u0441\u0430\u043d\u0438\u044f \u0437\u0435\u043c\u043b\u0438, \u043f\u0440\u043e\u0441\u0442\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0432 \u0435\u0433\u043e \u0432 \u043f\u0435\u0440\u0432\u043e\u0439 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nx_{caida} &amp;= v_{0}\\cos(\\theta)t_{caida} \\\\ \\\\\n\n&amp; = \\displaystyle v_{0}\\cos(\\theta)\\frac{2v_0 \\sin(\\theta)}{g} \\\\ \\\\\n\n&amp; = \\displaystyle \\frac{v_0^2 \\sin(2\\theta)}{g} \\\\ \\\\\n\n\\end{array}<\/span><\/span><\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h3>\u041a\u0430\u043a\u043e\u0439 \u0443\u0433\u043e\u043b \u0437\u0430\u043f\u0443\u0441\u043a\u0430 \u043c\u0430\u043a\u0441\u0438\u043c\u0438\u0437\u0438\u0440\u0443\u0435\u0442 \u0434\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u043b\u0435\u0442\u0430 \u0441\u043d\u0430\u0440\u044f\u0434\u0430?<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=_dXgQ_7u5GE&amp;t=999s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0415\u0441\u043b\u0438 \u0432\u044b \u0445\u043e\u0442\u0438\u0442\u0435 \u0443\u0437\u043d\u0430\u0442\u044c<\/span><\/strong><\/a> \u043a\u0430\u043a\u043e\u0439 \u0443\u0433\u043e\u043b \u0437\u0430\u043f\u0443\u0441\u043a\u0430 \u043c\u0430\u043a\u0441\u0438\u043c\u0438\u0437\u0438\u0440\u0443\u0435\u0442 \u0434\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u043b\u0435\u0442\u0430 \u0441\u043d\u0430\u0440\u044f\u0434\u0430, \u0438\u043b\u0438 \u0445\u043e\u0442\u0438\u0442\u0435 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u0432\u044b \u0437\u043d\u0430\u0435\u0442\u0435 \u044d\u0442\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e, \u0432\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0432\u0437\u044f\u0442\u044c \u0438\u0437 \u043f\u0440\u043e\u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u043d\u0430\u043c\u0438 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0439 \u0442\u043e, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u0432\u0430\u043c \u0441\u0444\u043e\u0440\u043c\u0443\u043b\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0432\u043e\u043f\u0440\u043e\u0441 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438. \u041c\u044b \u0443\u0436\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043b\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043f\u0430\u0434\u0435\u043d\u0438\u044f \u0432 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0440\u0430\u0437\u0434\u0435\u043b\u0435, \u0438 \u043e\u043d\u043e \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u0443\u0433\u043b\u0430:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle x_{caida} = x_{caida}(\\theta) = \\frac{v_0^2 \\sin(2\\theta)}{g}\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u0438\u043d\u0443\u0441\u0430 \u0438\u043c\u0435\u0435\u0442 \u0434\u0432\u0430 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0445 \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0430\u043b\u044c\u043d\u044b\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f: +1 \u0438 -1, \u043d\u043e \u043d\u0430\u0441 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u0435\u0442 \u043f\u0435\u0440\u0432\u043e\u0435. \u0427\u0442\u043e\u0431\u044b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sin(2\\theta)=+1<\/span><\/span>, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e, \u0447\u0442\u043e\u0431\u044b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">2\\theta = 90^o<\/span><\/span> (+<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">2k\\pi,<\/span><\/span> \u043d\u043e \u043c\u044b \u043e\u043f\u0443\u0441\u0442\u0438\u043c \u044d\u0442\u0443 \u0447\u0430\u0441\u0442\u044c, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043e\u043d\u0430 \u043d\u0430\u043c \u043d\u0435 \u043d\u0443\u0436\u043d\u0430), \u0438 \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\theta=45^o<\/span><\/span> \u044d\u0442\u043e \u0443\u0433\u043e\u043b \u0437\u0430\u043f\u0443\u0441\u043a\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u0430\u043a\u0441\u0438\u043c\u0438\u0437\u0438\u0440\u0443\u0435\u0442 \u0434\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c. \u042d\u0442\u0443 \u0437\u0430\u0434\u0430\u0447\u0443 \u043c\u043e\u0436\u043d\u043e \u0442\u0430\u043a\u0436\u0435 \u0440\u0435\u0448\u0438\u0442\u044c, \u0435\u0441\u043b\u0438 \u043c\u044b \u0441\u0444\u043e\u0440\u043c\u0443\u043b\u0438\u0440\u0443\u0435\u043c \u0435\u0435 \u043a\u0430\u043a \u0437\u0430\u0434\u0430\u0447\u0443 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 (\u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c <a href=\"https:\/\/www.youtube.com\/watch?v=OscTlX3raaE&#038;list=PL_C8rbeFjqAVaR_sgLJRBvMm5t6E1GxGI\" target=\"_blank\" rel=\"noopener\">\u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442\u043e\u0432 \u044d\u0442\u043e\u0433\u043e \u043a\u0443\u0440\u0441\u0430 \u043f\u043e \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0438\u0441\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044e<\/a>), \u043d\u043e \u044f \u0432\u044b\u0431\u0440\u0430\u043b \u044d\u0442\u043e\u0442 \u043f\u0443\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0431\u044b\u0441\u0442\u0440\u0435\u0435 \u0438 \u0442\u0430\u043a \u0436\u0435 \u0438\u043b\u043b\u044e\u0441\u0442\u0440\u0430\u0442\u0438\u0432\u0435\u043d.<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h2>\u041f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>\u0421\u043d\u0430\u0440\u044f\u0434 \u0437\u0430\u043f\u0443\u0441\u043a\u0430\u0435\u0442\u0441\u044f \u0441 \u0437\u0435\u043c\u043b\u0438 \u043f\u043e\u0434 \u0443\u0433\u043b\u043e\u043c \u043f\u043e\u0434\u044a\u0435\u043c\u0430 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\theta=30^o<\/span><\/span> \u0438 \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c\u044e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_0=70[km\/h].<\/span><\/span> \u0430) \u041a\u0430\u043a\u043e\u0432\u0430 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u0432\u044b\u0441\u043e\u0442\u0430, \u0434\u043e\u0441\u0442\u0438\u0433\u0430\u0435\u043c\u0430\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u043e\u043c? \u0431) \u041a\u0430\u043a\u043e\u0432\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043f\u0440\u043e\u043b\u0435\u0442\u0430\u0435\u0442 \u0441\u043d\u0430\u0440\u044f\u0434 \u0434\u043e \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u043a\u0430\u0441\u0430\u043d\u0438\u044f \u0437\u0435\u043c\u043b\u0438? \u0432) \u0421\u043a\u043e\u043b\u044c\u043a\u043e \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u0442\u0440\u0435\u0431\u0443\u0435\u0442\u0441\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0443 \u0434\u043b\u044f \u043f\u0430\u0434\u0435\u043d\u0438\u044f?<\/li>\n<li>\u041f\u0443\u0448\u043a\u0430, \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u0430\u044f \u043d\u0430 \u0437\u0435\u043c\u043b\u0435, \u0441\u0442\u0440\u0435\u043b\u044f\u0435\u0442 \u043f\u0443\u043b\u0435\u0439 \u0441\u043e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c\u044e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">90[km\/h]\uff1f<\/span><\/span> \u041f\u043e\u0434 \u043a\u0430\u043a\u0438\u043c \u0443\u0433\u043b\u043e\u043c \u043f\u043e\u0434\u044a\u0435\u043c\u0430 \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u043f\u0443\u0448\u043a\u0443, \u0447\u0442\u043e\u0431\u044b \u043f\u0443\u043b\u044f \u0443\u043f\u0430\u043b\u0430 \u043d\u0430 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">20[m]\uff1f<\/span><\/span><\/li>\n<li>\u0422\u0430 \u0436\u0435 \u043f\u0443\u0448\u043a\u0430 \u0438\u0437 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0442\u0435\u043f\u0435\u0440\u044c \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u0430 \u043d\u0430 \u0432\u044b\u0441\u043e\u0442\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">5[m]\uff1f<\/span><\/span> \u041f\u043e\u0434 \u043a\u0430\u043a\u0438\u043c \u0443\u0433\u043b\u043e\u043c \u043f\u043e\u0434\u044a\u0435\u043c\u0430 \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u043f\u0443\u0448\u043a\u0443, \u0447\u0442\u043e\u0431\u044b \u043f\u0443\u043b\u044f \u0432\u0441\u0435 \u0435\u0449\u0435 \u0443\u043f\u0430\u043b\u0430 \u043d\u0430 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0438 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">20[m]\uff1f<\/span><\/span><\/li>\n<li>\u0411\u043e\u043c\u0431\u0430\u0440\u0434\u0438\u0440\u043e\u0432\u0449\u0438\u043a \u043b\u0435\u0442\u0438\u0442 \u043d\u0430 \u0432\u044b\u0441\u043e\u0442\u0435 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">3,000[m]\uff1f<\/span><\/span> \u043d\u0430\u0434 \u0437\u0435\u043c\u043b\u0435\u0439 \u0441\u043e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c\u044e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1,500[km\/h].<\/span><\/span> \u0415\u0441\u043b\u0438 \u043e\u043d \u0441\u0431\u0440\u0430\u0441\u044b\u0432\u0430\u0435\u0442 \u0441\u043d\u0430\u0440\u044f\u0434 \u043f\u043e \u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043c\u0430\u0441\u0441\u0435, \u043a\u0430\u043a\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043f\u0440\u043e\u0439\u0434\u0435\u0442 \u0441\u043d\u0430\u0440\u044f\u0434 \u0441 \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u0441\u0431\u0440\u043e\u0441\u0430 \u0434\u043e \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u043a\u0430\u0441\u0430\u043d\u0438\u044f \u0437\u0435\u043c\u043b\u0438?<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u0432\u0438\u0436\u0435\u043d\u0438\u0435 \u0441\u043d\u0430\u0440\u044f\u0434\u0430 \u0420\u0435\u0437\u044e\u043c\u0435: \u041d\u0430 \u044d\u0442\u043e\u043c \u0437\u0430\u043d\u044f\u0442\u0438\u0438 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0432\u0441\u0435 \u043a\u0438\u043d\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0430\u0441\u043f\u0435\u043a\u0442\u044b \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u0430, \u0447\u0442\u043e \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0432\u0430\u0436\u043d\u043e\u0439 \u0442\u0435\u043c\u043e\u0439 \u0432 \u0444\u0438\u0437\u0438\u043a\u0435 \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u044f\u0435\u0442 \u043d\u0430\u0448\u0435 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0435 \u0438\u0437\u0443\u0447\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e \u0443\u0441\u043a\u043e\u0440\u0435\u043d\u043d\u043e\u0433\u043e \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f. \u041c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0441\u043d\u044f\u0442\u0438\u0435 \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0438\u044f \u043d\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442 \u043a \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u044f\u043c, \u0442\u0438\u043f\u0438\u0447\u043d\u044b\u043c \u0434\u043b\u044f \u0441\u043d\u0430\u0440\u044f\u0434\u043e\u0432. \u041c\u044b \u0438\u0437\u0443\u0447\u0438\u043c, \u043a\u0430\u043a \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u044b\u0435 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