{"id":34445,"date":"2021-09-03T13:00:50","date_gmt":"2021-09-03T13:00:50","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34445"},"modified":"2025-09-08T03:21:59","modified_gmt":"2025-09-08T03:21:59","slug":"%e7%ad%89%e9%80%9f%e7%9b%b4%e7%b7%9a%e9%81%8b%e5%8b%95-m-r-u","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e7%ad%89%e9%80%9f%e7%9b%b4%e7%b7%9a%e9%81%8b%e5%8b%95-m-r-u\/","title":{"rendered":"\u7b49\u901f\u76f4\u7dda\u904b\u52d5 (M.R.U.)"},"content":{"rendered":"<p><center><\/p>\n<h1>\u7b49\u901f\u76f4\u7dda\u904b\u52d5 (M.R.U.)<\/h1>\n<p><\/center><br \/>\n<center><em><strong>\u8981\u7d04:<\/strong><\/p>\n<p>\u3053\u306e\u6388\u696d\u3067\u306f\u3001\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u306b\u304a\u3051\u308b\u65b9\u7a0b\u5f0f\u306e\u5fdc\u7528\u306b\u7126\u70b9\u3092\u5f53\u3066\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u7269\u4f53\u304c\u4e00\u5b9a\u901f\u5ea6\u3067\u79fb\u52d5\u3059\u308b\u4ed5\u7d44\u307f\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u8ef8 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> \u306b\u304a\u3051\u308b\u65b9\u7a0b\u5f0f\u3092\u5fa9\u7fd2\u3057\u3001\u52a0\u901f\u5ea6\u304c\u30bc\u30ed\u306e\u5834\u5408\u306e\u7c21\u7565\u5316\u3092\u78ba\u8a8d\u3057\u3001\u521d\u901f\u5ea6\u3068\u521d\u671f\u4f4d\u7f6e\u3092\u77e5\u308b\u3053\u3068\u3067\u7269\u4f53\u306e\u4f4d\u7f6e\u3092\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u3092\u5b66\u3073\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u3053\u308c\u3089\u306e\u6982\u5ff5\u3092\u4f8b\u984c\u3084\u5b9f\u8df5\u6f14\u7fd2\u3092\u901a\u3057\u3066\u5fdc\u7528\u3057\u307e\u3059\u3002<\/p>\n<p><\/em><br \/>\n<\/center><\/p>\n<p><center><strong><u>\u5b66\u7fd2\u76ee\u6a19<\/u><\/strong><\/p>\n<p>\u3053\u306e\u6388\u696d\u3092\u4fee\u4e86\u3059\u308b\u3068\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u3092\u671f\u5f85\u3057\u307e\u3059\u3002<\/p>\n<p><\/center><\/p>\n<ol>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong> \u904b\u52d5\u65b9\u7a0b\u5f0f: \u7279\u306b\u8ef8 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> \u306b\u95a2\u3059\u308b\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u8a8d\u8b58\u3057\u7406\u89e3\u3057\u3001\u7269\u4f53\u306e\u904b\u52d5\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u5fdc\u7528\u3059\u308b\u3002<\/li>\n<li><strong>\u5fdc\u7528\u3059\u308b<\/strong> \u7b49\u901f\u76f4\u7dda\u904b\u52d5\u3078\u306e\u65b9\u7a0b\u5f0f: \u52a0\u901f\u5ea6\u304c\u30bc\u30ed\u306e\u5834\u5408\u306b\u65b9\u7a0b\u5f0f\u3092\u7c21\u7565\u5316\u3057\u3001\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u3092\u8a18\u8ff0\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3002<\/li>\n<li><strong>\u7279\u5b9a\u3059\u308b<\/strong> \u7b49\u901f\u76f4\u7dda\u904b\u52d5\u306e\u7279\u5fb4: \u3053\u306e\u904b\u52d5\u3067\u306f\u7269\u4f53\u306e\u65b9\u5411\u3068\u901f\u5ea6\u304c\u4e00\u5b9a\u306b\u4fdd\u305f\u308c\u308b\u3053\u3068\u3092\u7406\u89e3\u3059\u308b\u3002<\/li>\n<li><strong>\u8a08\u7b97\u3059\u308b<\/strong> \u7269\u4f53\u306e\u4f4d\u7f6e: \u521d\u671f\u4f4d\u7f6e\u3068\u901f\u5ea6\u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u4efb\u610f\u306e\u6642\u523b\u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u4f4d\u7f6e\u3092\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u7528\u3044\u3066\u6c42\u3081\u308b\u3002<\/li>\n<\/ol>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/_bLJLf9dNfY\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<h2>M.R.U. \u306e\u7d4c\u8def\u65b9\u7a0b\u5f0f<\/h2>\n<p style=\"text-align: justify;\"> <a href=\"http:\/\/toposuranos.com\/material\/es\/cinematica\/\" rel=\"noopener\" target=\"_blank\">\u524d\u56de\u306e\u6388\u696d<\/a> \u3067\u306f\u3001\u7269\u4f53\u306e\u904b\u52d5\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u7d4c\u8def\u65b9\u7a0b\u5f0f\u306b\u81f3\u308b\u63a8\u8ad6\u3092\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002\u4eca\u56de\u306f\u3001\u305d\u308c\u3089\u3092\u3044\u304f\u3064\u304b\u306e\u7c21\u5358\u306a\u73fe\u8c61\u306e\u6587\u8108\u306b\u7f6e\u304d\u3001\u7df4\u7fd2\u3092\u59cb\u3081\u307e\u3059\u3002\u305d\u306e\u4e2d\u3067\u6700\u3082\u5358\u7d14\u306a\u73fe\u8c61\u304c\u3001\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u7d9a\u3051\u308b\u524d\u306b\u3001\u7d4c\u8def\u65b9\u7a0b\u5f0f\u306e\u5f62\u3092\u601d\u3044\u51fa\u3057\u307e\u3057\u3087\u3046\u3002\u5ea7\u6a19\u8ef8 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> \u306b\u5bfe\u3057\u3066\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rcl}\n\na_x (t) &amp; = &amp; a_{0x} \\\\ \\\\\n\nv_x(t) &amp; = &amp; a_{0x}t+v_{0x}\\\\ \\\\\n\nx(t) &amp; = &amp; \\frac{1}{2}a_{0x}t^2 + v_{0x}t + x_0\n\n\\end{array}\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a_{0x}, v_{0x}<\/span><\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">x_0<\/span> \u306f\u305d\u308c\u305e\u308c\u7269\u4f53\u306e\u521d\u671f\u52a0\u901f\u5ea6\u3001\u521d\u901f\u5ea6\u3001\u521d\u671f\u4f4d\u7f6e\u3092\u8868\u3057\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a_x(t), v_x(t)<\/span><\/span> \u304a\u3088\u3073 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x(t)<\/span><\/span> \u306f\u305d\u308c\u305e\u308c\u6642\u523b\u306b\u304a\u3051\u308b\u52a0\u901f\u5ea6\u3001\u901f\u5ea6\u3001\u4f4d\u7f6e\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5f0f\u306f\u3001\u4ed6\u306e\u5ea7\u6a19\u8ef8 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{y}<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{z}<\/span> \u306b\u5bfe\u3057\u3066\u3082\u540c\u69d8\u306b\u66f8\u304b\u308c\u30011\u6b21\u5143\u30012\u6b21\u5143\u30013\u6b21\u5143\u306e\u7a7a\u9593\u904b\u52d5\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<h2>\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u306e\u6587\u8108\u5316<\/h2>\n<p style=\"text-align: justify;\">\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u306e\u6587\u8108\u306b\u7d4c\u8def\u65b9\u7a0b\u5f0f\u3092\u7f6e\u304f\u305f\u3081\u306b\u306f\u3001\u300c\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u3068\u306f\u4f55\u304b\u300d\u3068\u3044\u3046\u554f\u3044\u306b\u7b54\u3048\u3001\u305d\u306e\u554f\u3044\u3092\u7d4c\u8def\u65b9\u7a0b\u5f0f\u306b\u8ab2\u3059\u3053\u3068\u306e\u3067\u304d\u308b\u6761\u4ef6\u306b\u5909\u63db\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u904b\u52d5\u306e\u65b9\u5411\u306f\u6642\u9593\u3068\u3068\u3082\u306b\u5909\u5316\u3057\u306a\u3044<\/li>\n<li>\u904b\u52d5\u306e\u901f\u3055\u3082\u5909\u5316\u3057\u306a\u3044<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u3053\u308c\u3089\u3059\u3079\u3066\u306f\u3001\u4e09\u3064\u306e\u8ef8\u306b\u304a\u3051\u308b\u52a0\u901f\u5ea6\u304c\u5e38\u306b\u30bc\u30ed\u3067\u3042\u308b\u3068\u5b9a\u3081\u308b\u3053\u3068\u3067\u8981\u7d04\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u7d4c\u8def\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rcl}\n\nv_x(t) &amp; = &amp; v_{0x}\\\\ \\\\\n\nx(t) &amp; = &amp; v_{0x}t + x_0\n\n\\end{array}\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u4ed6\u306e\u8ef8\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u306b\u8868\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u521d\u671f\u4f4d\u7f6e\u3068\u521d\u901f\u5ea6\u304c\u5206\u304b\u308c\u3070\u3001\u4efb\u610f\u306e\u6642\u523b\u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u4f4d\u7f6e\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u3089\u306e\u65b9\u7a0b\u5f0f\u3092\u7528\u3044\u3001\u4f4d\u7f6e\u3068\u901f\u5ea6\u306e\u521d\u671f\u6761\u4ef6\u304b\u3089\u3001\u4efb\u610f\u306e\u6642\u523b\u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u4f4d\u7f6e\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u4f8b\u984c\u6f14\u7fd2:<\/h2>\n<ol style=\"text-align: justify;\">\n<li>\u6b21\u306b\u4e0e\u3048\u3089\u308c\u305f\u521d\u671f\u4f4d\u7f6e\u3068\u521d\u901f\u5ea6\u3092\u3082\u3064\u7269\u4f53\u306e\u3001\u6642\u523b <span class=\"katex-eq\" data-katex-display=\"false\">t=15[s]<\/span> \u306b\u304a\u3051\u308b\u4f4d\u7f6e\u3092\u6c42\u3081\u3088:\n<ol>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_{0x}=0,25[m\/s]\\;\\;x_0=0,3[m]<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_{0x}=10[km\/h]\\;\\;x_0=15[m]<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_{0x}=-3[m\/min]\\;\\;x_0=4[in]<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<li>2\u53f0\u306e\u5217\u8eca\u304c\u6700\u521d\u306b10\u30ad\u30ed\u30e1\u30fc\u30c8\u30eb\u96e2\u308c\u3066\u3044\u308b\u3002\u540c\u3058\u7dda\u8def\u4e0a\u3092\u8d70\u3063\u3066\u304a\u308a\u30011\u53f0\u76ee\u306f\u901f\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">v_{1}=20[km\/h]<\/span> \u3067\u9032\u307f\u30012\u53f0\u76ee\u306f <span class=\"katex-eq\" data-katex-display=\"false\">v_2=15[km\/h]<\/span> \u306e\u901f\u5ea6\u3067\u53cd\u5bfe\u65b9\u5411\u306b\u9032\u3093\u3067\u3044\u308b\u3002\n<ol>\n<li type=\"a\">\u5217\u8eca\u304c\u885d\u7a81\u3059\u308b\u307e\u3067\u306b\u3069\u308c\u3060\u3051\u306e\u6642\u9593\u304c\u304b\u304b\u308b\u304b\u3002<\/li>\n<li type=\"a\">\u5404\u5217\u8eca\u304c\u521d\u671f\u4f4d\u7f6e\u304b\u3089\u885d\u7a81\u70b9\u307e\u3067\u306b\u79fb\u52d5\u3059\u308b\u8ddd\u96e2\u306f\u3044\u304f\u3089\u304b\u3002<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u7b49\u901f\u76f4\u7dda\u904b\u52d5 (M.R.U.) \u8981\u7d04: 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