{"id":406,"date":"2023-06-19T08:23:26","date_gmt":"2023-06-19T08:23:26","guid":{"rendered":"https:\/\/physigeek.com\/ja\/%e7%9e%ac%e9%96%93%e5%8a%a0%e9%80%9f\/"},"modified":"2023-06-19T08:23:26","modified_gmt":"2023-06-19T08:23:26","slug":"%e7%9e%ac%e9%96%93%e5%8a%a0%e9%80%9f","status":"publish","type":"post","link":"https:\/\/physigeek.com\/ja\/%e7%9e%ac%e9%96%93%e5%8a%a0%e9%80%9f\/","title":{"rendered":"\u77ac\u6642\u306e\u52a0\u901f"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7269\u7406\u5b66\u306b\u304a\u3051\u308b\u77ac\u9593\u52a0\u901f\u5ea6\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u77ac\u9593\u7684\u306a\u52a0\u901f\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3068\u3001\u3055\u3089\u306b\u77ac\u9593\u7684\u306a\u52a0\u901f\u5ea6\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3082\u5b66\u7fd2\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-aceleracion-instantanea\"><\/span>\u77ac\u9593\u52a0\u901f\u5ea6\u3063\u3066\u4f55\u3067\u3059\u304b\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u77ac\u9593\u52a0\u901f\u5ea6\u306f<\/strong>\u3001\u7279\u5b9a\u306e\u77ac\u9593\u306b\u7269\u4f53\u304c\u6301\u3064\u52a0\u901f\u5ea6\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u3042\u308b\u77ac\u9593\u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u77ac\u9593\u52a0\u901f\u5ea6\u306f\u3001\u305d\u306e\u77ac\u9593\u306b\u7269\u4f53\u304c\u6301\u3064\u52a0\u901f\u5ea6\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4f53\u306e\u77ac\u9593\u7684\u306a\u52a0\u901f\u5ea6\u306f\u30c6\u30f3\u30dd\u306e\u5404\u77ac\u9593\u3067\u5909\u5316\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u79fb\u52d5\u4f53\u306f\u5404\u77ac\u9593\u306b\u7570\u306a\u308b\u77ac\u9593\u52a0\u901f\u5ea6\u3092\u6301\u3064\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6642\u9593 t=7 \u79d2\u3067\u306e\u79fb\u52d5\u4f53\u306e\u77ac\u9593\u52a0\u901f\u5ea6\u304c 3 m\/s <sup>2<\/sup>\u306b\u7b49\u3057\u3044\u5834\u5408\u3001\u3053\u308c\u306f\u3001\u7269\u4f53\u304c\u6642\u9593 t=7 \u79d2\u3067 3 m\/s <sup>2<\/sup>\u306e\u52a0\u901f\u5ea6\u3067\u79fb\u52d5\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u77ac\u9593\u7684\u306a\u52a0\u901f\u5ea6\u306f\u6b63\u306a\u306e\u3067\u3001\u305d\u306e\u77ac\u9593\u4ee5\u964d\u306e\u4f53\u306e\u901f\u5ea6\u306f\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u77ac\u9593\u7684\u306a\u52a0\u901f\u5ea6\u306e\u7279\u5fb4\u306e1\u3064\u306f\u3001\u305d\u306e\u65b9\u5411\u3068\u65b9\u5411\u304c\u904b\u52d5\u3068\u306f\u7570\u306a\u308b\u5834\u5408\u304c\u3042\u308b\u3053\u3068\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u30d6\u30ec\u30fc\u30ad\u3092\u304b\u3051\u3066\u3044\u308b\u5217\u8eca\u306e\u77ac\u9593\u901f\u5ea6\u306f\u9032\u307f\u307e\u3059 (\u524d\u9032\u3057\u7d9a\u3051\u307e\u3059)\u3002\u3057\u304b\u3057\u3001\u901f\u5ea6\u304c\u4f4e\u4e0b\u3059\u308b\u305f\u3081\u3001\u77ac\u9593\u52a0\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306f\u5f8c\u9000\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-aceleracion-instantanea\"><\/span>\u77ac\u9593\u52a0\u901f\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6570\u5b66\u7684\u306b\u306f\u3001\u77ac\u9593\u52a0\u901f\u5ea6\u306f\u3001\u6642\u9593\u9593\u9694\u304c\u30bc\u30ed\u306b\u8fd1\u3065\u304f\u3068\u304d\u306e\u5e73\u5747\u52a0\u901f\u5ea6\u306e\u9650\u754c\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u77ac\u9593\u52a0\u901f\u5ea6\u306f\u3001\u77ac\u9593\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306e\u6642\u9593\u5fae\u5206\u5024\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u77ac\u9593\u52a0\u901f\u5ea6\u306e\u516c\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b<\/strong>\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-2ddee6150f0228c035c4acb4ffb4a148_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{a_i}=\\lim_{\\Delta t\\to 0}\\vv{a_m}=\\lim_{\\Delta t\\to 0}\\frac{\\Delta \\vv{v_i}}{\\ Delta t}=\\frac{d\\vv{v_i}}{dt}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"275\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-14cb9e3125e02a9b4aca54a32463b5e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u77ac\u9593\u52a0\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e2c27fee8a0bbbaa20c127a1bedbcd9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a_m}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"21\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u5e73\u5747\u52a0\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-444fb95ef6e118a991b45d7099a7a5e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{v_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"29\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u77ac\u9593\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-819ab50990df5adf82bea9dfa75ffff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta t\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f 0 \u306b\u5411\u304b\u3046\u6642\u9593\u9593\u9694\u3001\u3064\u307e\u308a\u7121\u9650\u306b\u5c0f\u3055\u3044\u6642\u9593\u9593\u9694\u3067\u3059\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9236b0ddce5ddfd56928e080c80c5260_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d\\vv{v_i}}{dt}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"24\" style=\"vertical-align: -12px;\"><\/p>\n<p>\u306f\u6642\u9593\u306b\u5bfe\u3059\u308b\u77ac\u9593\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306e\u5c0e\u95a2\u6570\u3067\u3059\u3002<\/span><\/li>\n<\/ul>\n<p>\u77ac\u9593\u901f\u5ea6\u306f\u3001\u6642\u9593\u306b\u95a2\u3059\u308b\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306e\u5c0e\u95a2\u6570\u3067\u3042\u308b\u3053\u3068\u306b\u7559\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u3053\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3068\u3001\u8a08\u7b97\u65b9\u6cd5\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/physigeek.com\/ja\">\u77ac\u9593\u901f\u5ea6\u306e\u8a08\u7b97\u65b9\u6cd5<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-de-la-aceleracion-instantanea\"><\/span>\u77ac\u9593\u52a0\u901f\u5ea6\u306e\u5177\u4f53\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u77ac\u9593\u52a0\u901f\u5ea6\u306e\u5b9a\u7fa9\u3068\u305d\u306e\u516c\u5f0f\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u77ac\u9593\u52a0\u901f\u5ea6\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u306e\u5177\u4f53\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u7269\u4f53\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u306f\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u306b\u3088\u3063\u3066\u6642\u9593\u306e\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4436612845651cdfe74563983a1993bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r}(t)=t^3-4t^2-5t+9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"179\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u3002\u6642\u9593 t=2s \u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u77ac\u9593\u7684\u306a\u52a0\u901f\u5ea6\u306f\u3044\u304f\u3089\u3067\u3059\u304b?<\/li>\n<\/ul>\n<p>\u77ac\u9593\u52a0\u901f\u5ea6\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u307e\u305a\u77ac\u9593\u901f\u5ea6\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u6642\u9593\u306b\u95a2\u3059\u308b\u4f4d\u7f6e\u65b9\u7a0b\u5f0f\u3092\u5c0e\u304d\u51fa\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4436612845651cdfe74563983a1993bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r}(t)=t^3-4t^2-5t+9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"179\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-76b94cd03386a16c96a69f801494d3e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{v_i}(t)=\\cfrac{d\\vv{r}}{dt}=3t^2-8t-5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"191\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u518d\u5ea6\u6642\u9593\u306b\u95a2\u3057\u3066\u5fae\u5206\u3057\u3066\u3001\u77ac\u9593\u52a0\u901f\u5ea6\u306e\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b052662130ceb833e6435db7dfe27876_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a_i}(t)=\\cfrac{d\\vv{v_i}}{dt}=6t-8\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"154\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u77ac\u9593\u7684\u306a\u52a0\u901f\u5ea6\u306e\u5f0f\u3092\u8a08\u7b97\u3057\u305f\u3089\u3001\u77ac\u9593 t=2s \u3092\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3092\u89e3\u304f\u3060\u3051\u3067\u3059\u3002 <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1321d46d8bd02e98330c9aaccf45dfce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a_i}(2)=6\\cdot 2-8=4 \\ \\cfrac{m}{s^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"180\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-instantanea-y-aceleracion-media\"><\/span>\u77ac\u9593\u52a0\u901f\u5ea6\u3068\u5e73\u5747\u52a0\u901f\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u5f8c\u306b\u3001\u77ac\u9593\u52a0\u901f\u5ea6\u3068\u5e73\u5747\u52a0\u901f\u5ea6\u306e\u9055\u3044\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u904b\u52d5\u5b66\u306b\u304a\u3044\u3066\u533a\u5225\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b 2 \u3064\u306e\u30bf\u30a4\u30d7\u306e\u52a0\u901f\u5ea6\u3067\u3042\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<p><strong>\u5e73\u5747\u52a0\u901f\u5ea6\u306f<\/strong>\u3001\u79fb\u52d5\u4f53\u304c\u7d4c\u8def\u5168\u4f53\u306b\u308f\u305f\u3063\u3066\u4e00\u5b9a\u306e\u52a0\u901f\u5ea6\u3067\u79fb\u52d5\u3057\u305f\u5834\u5408\u306b\u79fb\u52d5\u3059\u308b\u3067\u3042\u308d\u3046\u52a0\u901f\u5ea6\u3067\u3059\u3002<\/p>\n<p><strong>\u77ac\u9593\u52a0\u901f\u5ea6\u3068\u5e73\u5747\u52a0\u901f\u5ea6\u306e\u9055\u3044\u306f<\/strong>\u3001\u77ac\u9593\u52a0\u901f\u5ea6\u306f\u7279\u5b9a\u306e\u77ac\u9593\u306b\u7269\u4f53\u304c\u6301\u3064\u52a0\u901f\u5ea6\u3067\u3042\u308b\u306e\u306b\u5bfe\u3057\u3001\u5e73\u5747\u52a0\u901f\u5ea6\u306f\u7269\u4f53\u304c\u4e00\u5b9a\u306e\u52a0\u901f\u5ea6\u3067\u79fb\u52d5\u3057\u305f\u5834\u5408\u306b\u751f\u3058\u308b\u3067\u3042\u308d\u3046\u52a0\u901f\u5ea6\u3067\u3042\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u77ac\u9593\u52a0\u901f\u5ea6\u306f\u3001\u975e\u5e38\u306b\u5c0f\u3055\u3044\u6642\u9593\u9593\u9694\u306e\u5e73\u5747\u52a0\u901f\u5ea6\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u975e\u5e38\u306b\u5c0f\u3055\u3044\u305f\u3081\u3001\u5358\u4e00\u306e\u6642\u9593\u3068\u3057\u3066\u307f\u306a\u3055\u308c\u307e\u3059\u3002 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