{"id":406,"date":"2023-06-19T08:23:26","date_gmt":"2023-06-19T08:23:26","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e7%9e%ac%e9%97%b4%e5%8a%a0%e9%80%9f\/"},"modified":"2023-06-19T08:23:26","modified_gmt":"2023-06-19T08:23:26","slug":"%e7%9e%ac%e9%97%b4%e5%8a%a0%e9%80%9f","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e7%9e%ac%e9%97%b4%e5%8a%a0%e9%80%9f\/","title":{"rendered":"\u77ac\u95f4\u52a0\u901f"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u77ac\u65f6\u52a0\u901f\u5ea6\u662f\u4ec0\u4e48\u3002\u540c\u6837\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u77ac\u65f6\u52a0\u901f\u5ea6\uff0c\u4ee5\u53ca\u89e3\u51b3\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-aceleracion-instantanea\"><\/span>\u4ec0\u4e48\u662f\u77ac\u65f6\u52a0\u901f\u5ea6\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u77ac\u65f6\u52a0\u901f\u5ea6<\/strong>\u662f\u7269\u4f53\u5728\u7279\u5b9a\u77ac\u95f4\u7684\u52a0\u901f\u5ea6\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u7269\u4f53\u5728\u7ed9\u5b9a\u65f6\u523b\u7684\u77ac\u65f6\u52a0\u901f\u5ea6\u5c31\u662f\u8be5\u65f6\u523b\u7684\u52a0\u901f\u5ea6\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8eab\u4f53\u7684\u77ac\u65f6\u52a0\u901f\u5ea6\u53ef\u4ee5\u5728\u6bcf\u4e2a\u8282\u594f\u77ac\u95f4\u53d1\u751f\u53d8\u5316\u3002\u56e0\u6b64\uff0c\u8fd0\u52a8\u7269\u4f53\u5728\u6bcf\u4e2a\u77ac\u95f4\u53ef\u4ee5\u5177\u6709\u4e0d\u540c\u7684\u77ac\u65f6\u52a0\u901f\u5ea6\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u79fb\u52a8\u4f53\u5728\u65f6\u95f4t=7s\u65f6\u7684\u77ac\u65f6\u52a0\u901f\u5ea6\u7b49\u4e8e3m\/s <sup>2<\/sup> \uff0c\u5219\u8fd9\u610f\u5473\u7740\u7269\u4f53\u5728\u65f6\u95f4t=7s\u65f6\u4ee53m\/s <sup>2<\/sup>\u7684\u52a0\u901f\u5ea6\u79fb\u52a8\u3002\u56e0\u6b64\uff0c\u7531\u4e8e\u77ac\u65f6\u52a0\u901f\u5ea6\u4e3a\u6b63\uff0c\u56e0\u6b64\u8be5\u77ac\u95f4\u4e4b\u540e\u7269\u4f53\u7684\u901f\u5ea6\u4f1a\u66f4\u5927\u3002<\/p>\n<p>\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u7279\u70b9\u4e4b\u4e00\u662f\u5176\u65b9\u5411\u548c\u65b9\u5411\u53ef\u4ee5\u4e0e\u8fd0\u52a8\u4e0d\u540c\u3002\u4f8b\u5982\uff0c\u5236\u52a8\u5217\u8f66\u7684\u77ac\u65f6\u901f\u5ea6\u524d\u8fdb\uff08\u7ee7\u7eed\u5411\u524d\u79fb\u52a8\uff09\uff0c\u4f46\u77ac\u65f6\u52a0\u901f\u5ea6\u77e2\u91cf\u56e0\u901f\u5ea6\u964d\u4f4e\u800c\u5411\u540e\u79fb\u52a8\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-aceleracion-instantanea\"><\/span>\u77ac\u65f6\u52a0\u901f\u5ea6\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c\u77ac\u65f6\u52a0\u901f\u5ea6\u5b9a\u4e49\u4e3a\u65f6\u95f4\u95f4\u9694\u63a5\u8fd1\u96f6\u65f6\u5e73\u5747\u52a0\u901f\u5ea6\u7684\u6781\u9650\u3002\u56e0\u6b64\uff0c\u77ac\u65f6\u52a0\u901f\u5ea6\u7b49\u4e8e\u77ac\u65f6\u901f\u5ea6\u77e2\u91cf\u5bf9\u65f6\u95f4\u7684\u5bfc\u6570\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u8ba1\u7b97\u516c\u5f0f<\/strong>\u4e3a\uff1a<\/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\u5b50\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>\u662f\u77ac\u65f6\u52a0\u901f\u5ea6\u77e2\u91cf\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>\u662f\u5e73\u5747\u52a0\u901f\u5ea6\u77e2\u91cf\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>\u662f\u77ac\u65f6\u901f\u5ea6\u77e2\u91cf\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>\u662f\u8d8b\u4e8e0\u7684\u65f6\u95f4\u95f4\u9694\uff0c\u5373\u65e0\u9650\u5c0f\u7684\u65f6\u95f4\u95f4\u9694\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>\u662f\u77ac\u65f6\u901f\u5ea6\u77e2\u91cf\u5bf9\u65f6\u95f4\u7684\u5bfc\u6570\u3002<\/span><\/li>\n<\/ul>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u77ac\u65f6\u901f\u5ea6\u662f\u4f4d\u7f6e\u77e2\u91cf\u76f8\u5bf9\u4e8e\u65f6\u95f4\u7684\u5bfc\u6570\u3002\u60a8\u53ef\u4ee5\u70b9\u51fb\u6b64\u5904\u67e5\u770b\u5176\u8ba1\u7b97\u65b9\u6cd5\uff1a <\/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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\">\u5982\u4f55\u8ba1\u7b97\u77ac\u65f6\u901f\u5ea6<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-de-la-aceleracion-instantanea\"><\/span>\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u5177\u4f53\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u5728\u672c\u8282\u4e2d\u60a8\u53ef\u4ee5\u770b\u5230\u5982\u4f55\u8ba1\u7b97\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u5177\u4f53\u793a\u4f8b\u3002<\/p>\n<ul>\n<li>\u7269\u4f53\u7684\u4f4d\u7f6e\u77e2\u91cf\u7531\u4ee5\u4e0b\u65b9\u7a0b\u5b9a\u4e49\u4e3a\u65f6\u95f4\u7684\u51fd\u6570\uff1a\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 t=2s \u65f6\u7269\u4f53\u7684\u77ac\u65f6\u52a0\u901f\u5ea6\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u4e3a\u4e86\u627e\u5230\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u65b9\u7a0b\uff0c\u6211\u4eec\u5fc5\u987b\u9996\u5148\u627e\u5230\u77ac\u65f6\u901f\u5ea6\u7684\u65b9\u7a0b\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u63a8\u5bfc\u76f8\u5bf9\u4e8e\u65f6\u95f4\u7684\u4f4d\u7f6e\u65b9\u7a0b\uff1a<\/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>\u7136\u540e\u6211\u4eec\u518d\u6b21\u5bf9\u65f6\u95f4\u8fdb\u884c\u5fae\u5206\uff0c\u5f97\u5230\u77ac\u65f6\u52a0\u901f\u5ea6\u65b9\u7a0b\uff1a<\/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>\u4e00\u65e6\u6211\u4eec\u8ba1\u7b97\u51fa\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u8868\u8fbe\u5f0f\uff0c\u53ea\u9700\u5c06\u77ac\u65f6 t=2s \u4ee3\u5165\u65b9\u7a0b\u5e76\u6c42\u89e3\u8ba1\u7b97\uff1a <\/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\u65f6\u52a0\u901f\u5ea6\u548c\u5e73\u5747\u52a0\u901f\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u77ac\u65f6\u52a0\u901f\u5ea6\u548c\u5e73\u5747\u52a0\u901f\u5ea6\u4e4b\u95f4\u7684\u533a\u522b\uff0c\u56e0\u4e3a\u8fd9\u662f\u8fd0\u52a8\u5b66\u4e2d\u5fc5\u987b\u533a\u5206\u7684\u4e24\u79cd\u7c7b\u578b\u7684\u52a0\u901f\u5ea6\u3002<\/p>\n<p><strong>\u5e73\u5747\u52a0\u901f\u5ea6<\/strong>\u662f\u79fb\u52a8\u4f53\u5728\u6574\u4e2a\u8def\u5f84\u4e2d\u4ee5\u6052\u5b9a\u52a0\u901f\u5ea6\u79fb\u52a8\u65f6\u6240\u884c\u8fdb\u7684\u52a0\u901f\u5ea6\u3002<\/p>\n<p><strong>\u77ac\u65f6\u52a0\u901f\u5ea6\u548c\u5e73\u5747\u52a0\u901f\u5ea6\u4e4b\u95f4\u7684\u533a\u522b\u5728\u4e8e<\/strong>\uff0c\u77ac\u65f6\u52a0\u901f\u5ea6\u662f\u7269\u4f53\u5728\u7ed9\u5b9a\u65f6\u523b\u6240\u5177\u6709\u7684\u52a0\u901f\u5ea6\uff0c\u800c\u5e73\u5747\u52a0\u901f\u5ea6\u662f\u7269\u4f53\u4ee5\u6052\u5b9a\u52a0\u901f\u5ea6\u8fd0\u52a8\u65f6\u6240\u5177\u6709\u7684\u52a0\u901f\u5ea6\u3002<\/p>\n<p>\u5e94\u8be5\u6ce8\u610f\u7684\u662f\uff0c\u77ac\u65f6\u52a0\u901f\u5ea6\u4e5f\u53ef\u4ee5\u5b9a\u4e49\u4e3a\u975e\u5e38\u5c0f\u7684\u65f6\u95f4\u95f4\u9694\u7684\u5e73\u5747\u52a0\u901f\u5ea6\uff0c\u5c0f\u5230\u53ef\u4ee5\u5c06\u5176\u89c6\u4e3a\u5355\u4e2a\u77ac\u65f6\u65f6\u95f4\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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\/\u5e73\u5747\u52a0\u901f\u5ea6\/\">\u4ec0\u4e48\u662f\u5e73\u5747\u52a0\u901f\u5ea6\uff1f<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u77ac\u65f6\u52a0\u901f\u5ea6\u662f\u4ec0\u4e48\u3002\u540c\u6837\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u77ac\u65f6\u52a0\u901f\u5ea6\uff0c\u4ee5\u53ca\u89e3\u51b3\u77ac\u65f6\u52a0\u901f\u5ea6\u7684\u7ec3\u4e60\u3002 \u4ec0\u4e48\u662f\u77ac\u65f6 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e7%9e%ac%e9%97%b4%e5%8a%a0%e9%80%9f\/\"> <span class=\"screen-reader-text\">\u77ac\u95f4\u52a0\u901f<\/span> 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