{"id":406,"date":"2023-06-19T08:23:26","date_gmt":"2023-06-19T08:23:26","guid":{"rendered":"https:\/\/physigeek.com\/tr\/anlik-hizlanma\/"},"modified":"2023-06-19T08:23:26","modified_gmt":"2023-06-19T08:23:26","slug":"anlik-hizlanma","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/anlik-hizlanma\/","title":{"rendered":"An\u0131nda h\u0131zlanma"},"content":{"rendered":"<p>Bu makale fizikte anl\u0131k ivmenin ne oldu\u011funu a\u00e7\u0131kl\u0131yor. Benzer \u015fekilde, anl\u0131k ivmenin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak anl\u0131k ivmeyle ilgili \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 da ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-aceleracion-instantanea\"><\/span> Anl\u0131k ivme nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Anl\u0131k ivme<\/strong> , bir cismin belirli bir anda sahip oldu\u011fu ivmedir. Ba\u015fka bir deyi\u015fle, bir cismin belirli bir andaki anl\u0131k ivmesi, o anda sahip oldu\u011fu ivmedir.<\/p>\n<p> Dolay\u0131s\u0131yla bir v\u00fccudun anl\u0131k ivmesi temponun her an\u0131nda de\u011fi\u015febilir. B\u00f6ylece hareket eden bir cisim her an farkl\u0131 bir anl\u0131k ivmeye sahip olabilir.<\/p>\n<p> \u00d6rne\u011fin, bir hareketlinin t=7 s an\u0131nda anl\u0131k ivmesi 3 m\/s <sup>2&#8217;ye<\/sup> e\u015fitse bu, cismin t=7 s an\u0131nda 3 m\/s <sup>2<\/sup> ivmeyle hareket etti\u011fi anlam\u0131na gelir. Dolay\u0131s\u0131yla anl\u0131k ivme pozitif oldu\u011fundan o andan sonra cismin h\u0131z\u0131 daha b\u00fcy\u00fck olacakt\u0131r.<\/p>\n<p> Anl\u0131k ivmenin \u00f6zelliklerinden biri de y\u00f6n\u00fc ve y\u00f6n\u00fcn\u00fcn hareketten farkl\u0131 olabilmesidir. \u00d6rne\u011fin fren yapan bir trenin anl\u0131k h\u0131z\u0131 artar (ileriye do\u011fru gitmeye devam eder), ancak h\u0131z\u0131 azald\u0131\u011f\u0131 i\u00e7in anl\u0131k ivme vekt\u00f6r\u00fc geriye do\u011fru gider. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-aceleracion-instantanea\"><\/span> An\u0131nda h\u0131zlanma form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Matematiksel olarak anl\u0131k ivme, zaman aral\u0131\u011f\u0131 s\u0131f\u0131ra yakla\u015f\u0131rken ortalama ivmenin s\u0131n\u0131r\u0131 olarak tan\u0131mlan\u0131r. Bu nedenle anl\u0131k ivme, anl\u0131k h\u0131z vekt\u00f6r\u00fcn\u00fcn zamana g\u00f6re t\u00fcrevine e\u015fittir.<\/p>\n<p> Yani <strong>anl\u0131k ivmenin form\u00fcl\u00fc<\/strong> \u015fu \u015fekildedir:<\/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\"> Alt\u0131n: <\/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> anl\u0131k ivme vekt\u00f6r\u00fcd\u00fcr. <\/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> ortalama ivme vekt\u00f6r\u00fcd\u00fcr. <\/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> anl\u0131k h\u0131z vekt\u00f6r\u00fcd\u00fcr. <\/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> 0&#8217;a do\u011fru y\u00f6nelen zaman aral\u0131\u011f\u0131, yani sonsuz k\u00fc\u00e7\u00fck bir zaman aral\u0131\u011f\u0131d\u0131r. <\/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> anl\u0131k h\u0131z vekt\u00f6r\u00fcn\u00fcn zamana g\u00f6re t\u00fcrevidir.<\/span><\/li>\n<\/ul>\n<p> Anl\u0131k h\u0131z\u0131n konum vekt\u00f6r\u00fcn\u00fcn zamana g\u00f6re t\u00fcrevi oldu\u011funu unutmay\u0131n. Buraya t\u0131klayarak nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebilirsiniz: <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\">Anl\u0131k h\u0131z nas\u0131l hesaplan\u0131r<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-de-la-aceleracion-instantanea\"><\/span> Anl\u0131k ivmenin somut \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k anl\u0131k ivmenin tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fc bildi\u011fimize g\u00f6re, bu b\u00f6l\u00fcmde anl\u0131k ivmenin nas\u0131l hesapland\u0131\u011f\u0131na dair somut bir \u00f6rnek g\u00f6rebilirsiniz.<\/p>\n<ul>\n<li> Bir cismin konum vekt\u00f6r\u00fc zaman\u0131n bir fonksiyonu olarak a\u015fa\u011f\u0131daki denklemle tan\u0131mlan\u0131r:\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> . t=2s an\u0131nda cismin anl\u0131k ivmesi nedir?<\/li>\n<\/ul>\n<p> Anl\u0131k ivmenin denklemini bulmak i\u00e7in \u00f6nce anl\u0131k h\u0131z denklemini bulmam\u0131z gerekir. Bunu yapmak i\u00e7in zamana g\u00f6re konum denklemini t\u00fcretiyoruz:<\/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> Daha sonra anl\u0131k ivme denklemini elde etmek i\u00e7in zamana g\u00f6re yeniden t\u00fcrev al\u0131r\u0131z:<\/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> Anl\u0131k ivme ifadesini hesaplad\u0131ktan sonra, t=2s an\u0131n\u0131 denklemde yerine koyun ve hesaplamalar\u0131 \u00e7\u00f6z\u00fcn: <\/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> Anl\u0131k h\u0131zlanma ve ortalama h\u0131zlanma<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak, anl\u0131k ivme ile ortalama ivme aras\u0131ndaki fark\u0131n ne oldu\u011funu g\u00f6rece\u011fiz, \u00e7\u00fcnk\u00fc bunlar kinematikte farkl\u0131la\u015ft\u0131r\u0131lmas\u0131 gereken iki t\u00fcr ivmedir.<\/p>\n<p> <strong>Ortalama ivme<\/strong> , hareket eden bir cismin yol boyunca sabit bir ivmeyle hareket etmesi durumunda kat edece\u011fi ivmedir.<\/p>\n<p> <strong>Anl\u0131k ivme ile ortalama ivme aras\u0131ndaki fark,<\/strong> anl\u0131k ivmenin bir cismin belirli bir anda sahip oldu\u011fu ivme olmas\u0131, ortalama ivmenin ise bir cismin sabit bir ivmeyle hareket etmesi durumunda sahip olaca\u011f\u0131 ivme olmas\u0131d\u0131r.<\/p>\n<p> Anl\u0131k ivmenin, zaman\u0131n tek bir an\u0131 olarak al\u0131nacak kadar k\u00fc\u00e7\u00fck bir zaman aral\u0131\u011f\u0131n\u0131n ortalama ivmesi olarak da tan\u0131mlanabilece\u011fini belirtmek gerekir. <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\/ortalama-ivme\/\">Ortalama ivme nedir?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale fizikte anl\u0131k ivmenin ne oldu\u011funu a\u00e7\u0131kl\u0131yor. Benzer \u015fekilde, anl\u0131k ivmenin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak anl\u0131k ivmeyle ilgili \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 da ke\u015ffedeceksiniz. Anl\u0131k ivme nedir? Anl\u0131k ivme , bir cismin belirli bir anda sahip oldu\u011fu ivmedir. Ba\u015fka bir deyi\u015fle, bir cismin belirli bir andaki anl\u0131k ivmesi, o anda sahip oldu\u011fu ivmedir. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/anlik-hizlanma\/\"> <span class=\"screen-reader-text\">An\u0131nda h\u0131zlanma<\/span> Devam\u0131 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-406","post","type-post","status-publish","format-standard","hentry","category-sinematik"],"yoast_head":"<!-- This site is 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al\u0131\u015ft\u0131rmalar\u0131n \u00e7\u00f6z\u00fcld\u00fc\u011f\u00fcn\u00fc \u00f6\u011freneceksiniz.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physigeek.com\/tr\/anlik-hizlanma\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-19T08:23:26+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-2ddee6150f0228c035c4acb4ffb4a148_l3.png\" \/>\n<meta name=\"author\" content=\"Jonathan Reynolds\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jonathan Reynolds\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" 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