{"id":426,"date":"2023-06-18T14:28:11","date_gmt":"2023-06-18T14:28:11","guid":{"rendered":"https:\/\/physigeek.com\/tr\/parabolik-hareket-veya-parabolik-atis\/"},"modified":"2023-06-18T14:28:11","modified_gmt":"2023-06-18T14:28:11","slug":"parabolik-hareket-veya-parabolik-atis","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/parabolik-hareket-veya-parabolik-atis\/","title":{"rendered":"Parabolik hareket (veya parabolik at\u0131\u015f)"},"content":{"rendered":"<p>Bu makale fizikte parabolik hareketin (veya parabolik at\u0131\u015f\u0131n) ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece parabolik hareketin \u00f6zelliklerini, form\u00fcllerini ve ayr\u0131ca ad\u0131m ad\u0131m bir \u00f6rne\u011fi bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-movimiento-parabolico\"><\/span> Parabolik hareket nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Parabolik at\u0131\u015f<\/strong> veya <strong>e\u011fik at\u0131\u015f<\/strong> olarak da adland\u0131r\u0131lan <strong>parabolik hareket<\/strong> , y\u00f6r\u00fcngesi bir parabol\u00fc tan\u0131mlayan bir cisim taraf\u0131ndan ger\u00e7ekle\u015ftirilen bu harekettir. B\u00f6ylece parabolik hareket yapan bir cisim yatay olarak ilerler, dikey olarak ise \u00f6nce y\u00fckselir sonra al\u00e7al\u0131r.<\/p>\n<p> \u00d6rne\u011fin, bir mermiyi f\u0131rlatmak parabolik bir harekettir \u00e7\u00fcnk\u00fc merminin y\u00f6r\u00fcngesi bir parabold\u00fcr. Yani bir mermi yukar\u0131 do\u011fru f\u0131rlat\u0131ld\u0131\u011f\u0131nda yatay olarak ilerler ve sonunda yer \u00e7ekiminin etkisiyle yere \u00e7arpana kadar d\u00fc\u015fer. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-parabolique.png\" alt=\"parabolik hareket, parabolik at\u0131\u015f, e\u011fik at\u0131\u015f\" class=\"wp-image-8056\" width=\"545\" height=\"389\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-parabolique-300x214.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-parabolique.png 704w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-del-movimiento-parabolico\"><\/span> Parabolik hareketin \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k parabolik hareketin tan\u0131m\u0131n\u0131 bildi\u011fimize g\u00f6re parabolik hareketlerin \u00f6zelliklerinin neler oldu\u011funa bakal\u0131m.<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Parabolik hareketin temel \u00f6zelli\u011fi,<\/strong> mobil taraf\u0131ndan tan\u0131mlanan y\u00f6r\u00fcngenin bir parabol olmas\u0131d\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">Parabolik hareketin bir di\u011fer \u00f6zelli\u011fi de yer \u00e7ekimi ivmesinden kaynaklanmas\u0131d\u0131r. Parabolik y\u00f6r\u00fcngeyi tan\u0131mlayan cisim pozitif dikey h\u0131zla ba\u015flar, dolay\u0131s\u0131yla ilk ba\u015fta y\u00fckselir, ancak yer\u00e7ekiminin etkisiyle dikey h\u0131z negatif hale gelinceye kadar azal\u0131r ve sonra cisim al\u00e7al\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">B\u00f6ylece parabolik bir harekette h\u0131z\u0131n yatay bile\u015feni sabit kal\u0131rken h\u0131z\u0131n d\u00fc\u015fey bile\u015feni azal\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">Parabolik hareket bu nedenle iki t\u00fcr hareketin birle\u015fimidir: yatay hareket <a href=\"https:\/\/physigeek.com\/tr\/duzgun-dogrusal-hareket-mru\/\">d\u00fczg\u00fcn bir do\u011frusal harekettir<\/a> ve dikey hareket ise <a href=\"https:\/\/physigeek.com\/tr\/dogrusal-hareket-mruayi-esit-sekilde-hizlandirir\/\">e\u015fit \u015fekilde h\u0131zland\u0131r\u0131lm\u0131\u015f do\u011frusal bir harekettir<\/a> .<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">H\u0131z\u0131n dikey bile\u015feni s\u0131f\u0131r oldu\u011funda parabolik hareketin maksimum y\u00fcksekli\u011fine ula\u015f\u0131l\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">Parabolik bir harekette y\u00f6r\u00fcnge boyunca cismin hava ile s\u00fcrt\u00fcnmesi ihmal edilir.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-movimientos-parabolicos\"><\/span> Parabolik hareket \u00f6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u015fa\u011f\u0131da parabolik hareketlerin (veya parabolik at\u0131\u015flar\u0131n) birka\u00e7 \u00f6rne\u011fi verilmi\u015ftir:<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bir basketbol at\u0131\u015f\u0131n\u0131n vuru\u015fu.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bir merminin ate\u015flenmesi.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bir hortumdan su jeti.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bir ta\u015f\u0131n at\u0131lmas\u0131.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bir futbol topunun vuru\u015fu.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ecuaciones-del-movimiento-parabolico\"><\/span> Parabolik hareket denklemleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Daha sonra parabolik at\u0131\u015f veya e\u011fik at\u0131\u015f olarak da bilinen parabolik hareket i\u00e7in t\u00fcm denklemlerin ve form\u00fcllerin ne oldu\u011funu g\u00f6rece\u011fiz. Yani bu form\u00fcller parabolik hareket problemlerini \u00e7\u00f6zmenize olanak sa\u011flayacakt\u0131r.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Posicion\"><\/span> Konum<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Parabolik harekette, konumun yatay bile\u015feni d\u00fczg\u00fcn do\u011frusal hareket (MRU) form\u00fcl\u00fcyle tan\u0131mlan\u0131rken, konumun dikey bile\u015feninin ifadesi d\u00fczg\u00fcn h\u0131zland\u0131r\u0131lm\u0131\u015f do\u011frusal hareket (MRUA) form\u00fcl\u00fcd\u00fcr. Dolay\u0131s\u0131yla parabolik bir hareketin y\u00f6r\u00fcngesini tan\u0131mlayan denklemler a\u015fa\u011f\u0131daki gibidir:<\/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-6a1223e776bfd3723cb49642515d7a4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x=v_0\\cdot \\text{cos}(\\alpha)\\cdot t \\\\[2ex]y=h+v_0\\cdot \\text{sin}(\\alpha)\\cdot t - \\cfrac{1}{2}\\cdot g\\cdot t^2\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"253\" style=\"vertical-align: 0px;\"><\/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-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> v\u00fccudun yatay koordinat\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-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> v\u00fccudun dikey koordinat\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-033c1c43e83708a4a975dedd88f197a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> ba\u015flang\u0131\u00e7 h\u0131z\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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> y\u00f6r\u00fcngenin ba\u015flang\u0131\u00e7 a\u00e7\u0131s\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-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> ge\u00e7en zamand\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-2ce27f7d2d82e3b238176ec7e7ee9118_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> v\u00fccudun ba\u015flang\u0131\u00e7 y\u00fcksekli\u011fidir. <\/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-e88010d25c51c0c42c505ee1004ed182_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> de\u011feri 9,81 m\/ <sup>s2<\/sup> olan yer \u00e7ekimi ivmesidir.<\/span><\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Velocidad\"><\/span> H\u0131z<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Parabolik harekette, h\u0131z\u0131n yatay bile\u015feni y\u00f6r\u00fcnge boyunca sabittir, dolay\u0131s\u0131yla bunu hesaplamak i\u00e7in ba\u015flang\u0131\u00e7 h\u0131z\u0131n\u0131 e\u011fim a\u00e7\u0131s\u0131n\u0131n kosin\u00fcs\u00fcyle \u00e7arpman\u0131z yeterlidir.<\/p>\n<p> \u00d6te yandan, parabolik bir at\u0131\u015f\u0131n d\u00fc\u015fey bile\u015feni, d\u00fczg\u00fcn ivmeli do\u011frusal hareket denklemiyle tan\u0131mlan\u0131r. Dolay\u0131s\u0131yla h\u0131z\u0131n dikey bile\u015feni, ba\u015flang\u0131\u00e7 h\u0131z\u0131 \u00e7arp\u0131 e\u011fim a\u00e7\u0131s\u0131n\u0131n sin\u00fcs\u00fc eksi yer \u00e7ekiminden kaynaklanan ivme \u00e7arp\u0131 ge\u00e7en zamana e\u015fittir.<\/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-9ad54222c1f929421b7d82314bd355db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}v_x=v_0\\cdot \\text{cos}(\\alpha) \\\\[2ex]v_y=v_0\\cdot \\text{sin}(\\alpha)-g\\cdot t\\end{cases }\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"179\" style=\"vertical-align: 0px;\"><\/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-49b889f48d662e0aaa8d7cb4fe10f013_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_x\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> h\u0131z\u0131n yatay bile\u015fenidir. <\/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-5f9cca35a3ff6c43b956a6f9fe4e3921_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_y\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p> h\u0131z\u0131n dikey bile\u015fenidir. <\/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-033c1c43e83708a4a975dedd88f197a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> ba\u015flang\u0131\u00e7 h\u0131z\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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> y\u00f6r\u00fcngenin ba\u015flang\u0131\u00e7 a\u00e7\u0131s\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-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> ge\u00e7en zamand\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-e88010d25c51c0c42c505ee1004ed182_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> de\u011feri 9,81 m\/ <sup>s2<\/sup> olan yer \u00e7ekimi ivmesidir.<\/span><\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion\"><\/span> H\u0131zlanma<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> T\u00fcm parabolik hareketlerde cismin ivmesi her zaman ayn\u0131 de\u011ferdedir. \u0130vmenin yatay bile\u015feni s\u0131f\u0131rd\u0131r, ivmenin dikey bile\u015feni ise yer\u00e7ekiminin negatif i\u015faretli de\u011feridir.<\/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-b317db933cced3fd619deeff201818c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}a_x=0 \\\\[2ex]a_y=-g\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"77\" style=\"vertical-align: 0px;\"><\/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-9eccaa1194e3cd8a77d62f4a2fd89a51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_x\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> ivmenin yatay bile\u015fenidir. <\/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-774db4a74587d8bf0c9a33ba6b3db0d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_y\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p> ivmenin dikey bile\u015fenidir. <\/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-e88010d25c51c0c42c505ee1004ed182_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> de\u011feri 9,81 m\/ <sup>s2<\/sup> olan yer \u00e7ekimi ivmesidir.<\/span><\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tiempo-de-vuelo\"><\/span> U\u00e7u\u015f zaman\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> U\u00e7u\u015f s\u00fcresi parabolik hareketi yapan cismin yere de\u011fmesi i\u00e7in gereken s\u00fcredir. Dolay\u0131s\u0131yla u\u00e7u\u015f s\u00fcresi, cismin parabole ba\u015flad\u0131\u011f\u0131 andan yere \u00e7arpt\u0131\u011f\u0131 ana kadar ge\u00e7en s\u00fcredir.<\/p>\n<p> V\u00fccut yere \u00e7arpt\u0131\u011f\u0131nda konumunun dikey koordinat\u0131 s\u0131f\u0131r olacakt\u0131r. Dolay\u0131s\u0131yla u\u00e7u\u015f s\u00fcresini hesaplamak i\u00e7in parabolik hareketin dikey konumu denklemini s\u0131f\u0131ra e\u015fitlemeniz ve ard\u0131ndan zaman denklemini \u00e7\u00f6zmeniz gerekir. <\/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-01fcd09349d7c25e11fc42ae3744f423_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=0 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad t_{vol}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"225\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Alcance-horizontal\"><\/span> Yatay kapsam<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Maksimum yatay menzile, u\u00e7u\u015f s\u00fcresine e\u015fde\u011fer bir anda, g\u00f6vdenin yere de\u011fmesiyle ula\u015f\u0131lacakt\u0131r. Bu nedenle, yatay menzili hesaplamak i\u00e7in \u00f6ncelikle u\u00e7u\u015f s\u00fcresinin al\u0131nmas\u0131 ve daha sonra parabolik hareketin yatay konum denkleminde u\u00e7u\u015f s\u00fcresinin de\u011ferinin yerine konulmas\u0131 gerekir. <\/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-09a2bd6165dae0d8de909888cc1483ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" t_{vol}\\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad x(t_{vol})\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"232\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Altura-maxima\"><\/span> Maksimum y\u00fckseklik<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Parabolik bir harekette, cismin h\u0131z\u0131n\u0131n d\u00fc\u015fey bile\u015feni s\u0131f\u0131r oldu\u011funda maksimum y\u00fcksekli\u011fe ula\u015f\u0131l\u0131r. Bu nedenle, maksimum y\u00fcksekli\u011fi belirlemek i\u00e7in h\u0131z\u0131n dikey bile\u015feni s\u0131f\u0131ra e\u015fitlenmelidir; buradan maksimum y\u00fcksekli\u011fe ula\u015f\u0131lan an\u0131 bulaca\u011f\u0131z ve son olarak hesaplanan zaman an\u0131n\u0131 hesaplanan an&#8217;a koymal\u0131y\u0131z. an. denklem.dikey konum. <\/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-a822a7a4e291ee420791e704d53820f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_y=0 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad t_{y_{m\\'ax}}\\quad \\color{orange}\\bm{\\longrightarrow}\\ couleur{noir}\\quad y_{m\\'ax}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"500\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Angulo-de-la-trayectoria\"><\/span> y\u00f6r\u00fcnge a\u00e7\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Belirli bir noktadaki y\u00f6r\u00fcngenin a\u00e7\u0131s\u0131, h\u0131z\u0131n iki bile\u015feninin olu\u015fturdu\u011fu a\u00e7\u0131ya e\u015fde\u011ferdir. Dolay\u0131s\u0131yla y\u00f6r\u00fcnge a\u00e7\u0131s\u0131n\u0131n tanjant\u0131, h\u0131z\u0131n dikey bile\u015feni ile yatay bile\u015feni aras\u0131ndaki b\u00f6l\u00fcme e\u015fittir.<\/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-83a1b49fe71033c804ad8193164bddd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(\\alpha)=\\cfrac{v_y}{v_x}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"94\" style=\"vertical-align: -15px;\"><\/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-5f9cca35a3ff6c43b956a6f9fe4e3921_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_y\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p> h\u0131z\u0131n dikey bile\u015fenidir. <\/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-49b889f48d662e0aaa8d7cb4fe10f013_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_x\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> h\u0131z\u0131n yatay bile\u015fenidir. <\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> yolun a\u00e7\u0131s\u0131d\u0131r. <\/span><\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Resumen-de-las-formulas-del-movimiento-parabolico\"><\/span> Parabolik Hareket Form\u00fcllerinin \u00d6zeti<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u00d6zetle size parabolik hareketin form\u00fcllerini i\u00e7eren bir tablo b\u0131rak\u0131yoruz. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-de-tir-parabolique-a-mouvement-parabolique.png\" alt=\"parabolik hareket form\u00fclleri\" class=\"wp-image-8135\" width=\"508\" height=\"493\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-de-tir-parabolique-a-mouvement-parabolique-300x291.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-de-tir-parabolique-a-mouvement-parabolique-768x746.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-de-tir-parabolique-a-mouvement-parabolique.png 1014w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicio-resuelto-del-movimiento-parabolico\"><\/span> Parabolik hareketin \u00e7\u00f6z\u00fclm\u00fc\u015f egzersizi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> Bir cisim yerden 15 m\/s ba\u015flang\u0131\u00e7 h\u0131z\u0131yla ve 30\u00b0 e\u011fim a\u00e7\u0131s\u0131yla f\u0131rlat\u0131l\u0131yor. Maksimum yatay eri\u015fimi ve cismin yere ula\u015fma h\u0131z\u0131n\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc hesaplay\u0131n. Problem boyunca hava ile s\u00fcrt\u00fcnmeyi ihmal edin ve yer \u00e7ekimi de\u011ferini 10 m\/s <sup>2<\/sup> olarak al\u0131n.<\/li>\n<\/ul>\n<p> Parabolik hareketin yatay aral\u0131\u011f\u0131n\u0131 bulmak i\u00e7in \u00f6ncelikle u\u00e7u\u015f zaman\u0131n\u0131 belirlememiz gerekir. Bunu yapmak i\u00e7in de konumun dikey bile\u015feninin denklemini s\u0131f\u0131ra e\u015fitlemeliyiz, \u00e7\u00fcnk\u00fc cisim yere de\u011fdi\u011finde dikey konum y=0 olacakt\u0131r. <\/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-9ab5a4669f2bed735498c28d335e04e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=h+v_0\\cdot \\text{sin}(\\alpha)\\cdot t -\\cfrac{1}{2}\\cdot g\\cdot t^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"240\" style=\"vertical-align: -12px;\"><\/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-b302515222791249c838a2238182524f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0=0+15\\cdot \\text{sin}(30^o)\\cdot t -\\cfrac{1}{2}\\cdot 10\\cdot t^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"262\" style=\"vertical-align: -12px;\"><\/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-96c994022b665bc74d1e0bd37437bdaa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0=7,5\\cdot t -5\\cdot t^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"134\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Elde etti\u011fimiz ikinci dereceden denklemi ortak fakt\u00f6r\u00fc \u00e7\u0131kararak \u00e7\u00f6z\u00fcyoruz: <\/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-9ea3476be25efa1f2917a1985dd8d9d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0=t(7,5-5t)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" 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-16852ce664cedc209b4f0c88311cf62c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\begin{cases}t=0 \\ \\color{red}\\bm{\\times}\\color{black}\\\\[2ex]7.5 -5t=0 \\ \\longrightarrow \\ t= \\cfrac {7,5}{5}=1,5 \\ s\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"309\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu nedenle, g\u00f6vde maksimum yatay eri\u015fime t=1,5 s zaman\u0131nda ula\u015facakt\u0131r, dolay\u0131s\u0131yla maksimum yatay eri\u015fimi hesaplamak i\u00e7in bu de\u011feri yatay konum denkleminde yerine koyar\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-0ee7aeb8984a471119007f3344290974_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}x&amp;=v_0\\cdot \\text{cos}(\\alpha)\\cdot t\\\\[2ex]x&amp;=15\\cdot \\text{cos}(30^o)\\cdot 1.5 \\\\ [2ex]x&amp;=19.49 \\ m \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"88\" width=\"197\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u00d6te yandan son h\u0131z\u0131n mod\u00fcl\u00fcn\u00fc hesaplamak i\u00e7in \u00f6ncelikle bu andaki h\u0131z\u0131n iki bile\u015fenini belirlemek gerekir. B\u00f6ylece h\u0131z\u0131n yatay bile\u015fenini hesapl\u0131yoruz:<\/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-73ca2c7f828a69c0ad9f6e1ffaf4302c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}v_x&amp;=v_0\\cdot \\text{cos}(\\alpha) \\\\[2ex]v_x&amp;=15\\cdot \\text{cos}(30^o)\\\\[2ex]v_x&amp;=12 .99 \\ \\cfrac{m}{s}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"125\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Daha sonra h\u0131z\u0131n dikey bile\u015fenini ilgili form\u00fclle hesapl\u0131yoruz:<\/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-ad9644c10727b8269a43c256214d0153_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}v_y&amp;=v_0\\cdot \\text{sin}(\\alpha)-g\\cdot t\\\\[2ex]v_y&amp;=15\\cdot \\text{sin}(30^o) -10\\ cdot 1.5\\\\[2ex]v_y&amp;=-7.5 \\ \\cfrac{m}{s}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"125\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Son olarak h\u0131z mod\u00fcl\u00fc, vekt\u00f6r bile\u015fenlerinin karelerinin toplam\u0131n\u0131n karek\u00f6k\u00fcne e\u015fittir:<\/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-7b1424eebf6e1cecfa0e555aec2da0d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}|\\vv{v}|&amp;=\\sqrt{v_x^2+v_y^2}\\\\[2ex]|\\vv{v}|&amp;=\\sqrt{12.99^2 +( -7,5)^2}\\\\[2ex]|\\vv{v}|&amp;=15 \\ \\cfrac{m}{s}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"141\" width=\"189\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu problemi sonu\u00e7land\u0131r\u0131rsak, parabolik hareket yerden ba\u015flad\u0131\u011f\u0131nda son h\u0131z\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn ba\u015flang\u0131\u00e7 h\u0131z\u0131n\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fcyle \u00e7ak\u0131\u015ft\u0131\u011f\u0131 sonucuna varabiliriz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Movimiento-parabolico-y-tiro-parabolico-horizontal\"><\/span> Parabolik hareket ve yatay parabolik at\u0131\u015f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak, fizikte yayg\u0131n olarak kullan\u0131lan iki t\u00fcr hareket oldu\u011fundan parabolik hareket ile yatay parabolik at\u0131\u015f aras\u0131ndaki fark\u0131n ne oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> <strong>Yatay parabolik at\u0131\u015f<\/strong> , v\u00fccudun ba\u015flang\u0131\u00e7ta tamamen yatay bir y\u00f6r\u00fcngeye sahip oldu\u011fu bir t\u00fcr parabolik harekettir. \u00d6yle ki yatay parabolik at\u0131\u015fta cisim belli bir y\u00fckseklikten f\u0131rlat\u0131l\u0131r ve ba\u015flang\u0131\u00e7 h\u0131z\u0131 yatayd\u0131r.<\/p>\n<p> Bu nedenle <strong>parabolik sal\u0131n\u0131m ile yatay parabolik at\u0131\u015f aras\u0131ndaki fark<\/strong> ba\u015flang\u0131\u00e7 h\u0131z\u0131d\u0131r. Yatay parabolik at\u0131\u015f\u0131n ba\u015flang\u0131\u00e7 h\u0131z\u0131 tamamen yatayd\u0131r ancak parabolik hareketin ba\u015flang\u0131\u00e7 h\u0131z\u0131 yatay eksenle pozitif bir a\u00e7\u0131 olu\u015fturur. <\/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\/yatay-parabolik-duzlem\/\">Yatay parabolik at\u0131\u015f<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale fizikte parabolik hareketin (veya parabolik at\u0131\u015f\u0131n) ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece parabolik hareketin \u00f6zelliklerini, form\u00fcllerini ve ayr\u0131ca ad\u0131m ad\u0131m bir \u00f6rne\u011fi bulacaks\u0131n\u0131z. Parabolik hareket nedir? Parabolik at\u0131\u015f veya e\u011fik at\u0131\u015f olarak da adland\u0131r\u0131lan parabolik hareket , y\u00f6r\u00fcngesi bir parabol\u00fc tan\u0131mlayan bir cisim taraf\u0131ndan ger\u00e7ekle\u015ftirilen bu harekettir. B\u00f6ylece parabolik hareket yapan bir cisim yatay olarak &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/parabolik-hareket-veya-parabolik-atis\/\"> <span class=\"screen-reader-text\">Parabolik hareket (veya parabolik at\u0131\u015f)<\/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-426","post","type-post","status-publish","format-standard","hentry","category-sinematik"],"yoast_head":"<!-- This site is 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