{"id":404,"date":"2023-06-19T10:01:38","date_gmt":"2023-06-19T10:01:38","guid":{"rendered":"https:\/\/physigeek.com\/it\/velocita-istantanea-2\/"},"modified":"2023-06-19T10:01:38","modified_gmt":"2023-06-19T10:01:38","slug":"velocita-istantanea-2","status":"publish","type":"post","link":"https:\/\/physigeek.com\/it\/velocita-istantanea-2\/","title":{"rendered":"Velocit\u00e0 istantanea"},"content":{"rendered":"<p>Questo articolo spiega cos&#8217;\u00e8 la velocit\u00e0 istantanea in fisica. Troverai quindi la definizione di velocit\u00e0 istantanea, come calcolare la velocit\u00e0 istantanea e un esercizio risolto passo dopo passo. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-velocidad-instantanea\"><\/span> Cos&#8217;\u00e8 la velocit\u00e0 istantanea?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>La velocit\u00e0 istantanea<\/strong> \u00e8 la velocit\u00e0 di un corpo in movimento in un dato momento. In altre parole, la velocit\u00e0 istantanea di un corpo \u00e8 la velocit\u00e0 che ha in quel momento.<\/p>\n<p> Pertanto, la velocit\u00e0 istantanea di un corpo pu\u00f2 cambiare in ogni momento temporale. Pertanto, un corpo in movimento pu\u00f2 avere una velocit\u00e0 istantanea diversa in ogni istante.<\/p>\n<p> Ad esempio, se la velocit\u00e0 istantanea di un corpo che si muove al tempo t=5 s \u00e8 pari a 3 m\/s, ci\u00f2 significa che questo corpo si muove ad una velocit\u00e0 di 3 m\/s al tempo t=5 s. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-la-velocidad-instantanea\"><\/span> Funzionalit\u00e0 di velocit\u00e0 istantanea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> La velocit\u00e0 istantanea soddisfa le seguenti caratteristiche:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">La direzione del vettore velocit\u00e0 istantanea \u00e8 tangente alla traiettoria del mobile.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">La direzione del vettore velocit\u00e0 istantanea \u00e8 la stessa della direzione del movimento del corpo.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">La norma del vettore velocit\u00e0 istantanea \u00e8 la radice quadrata della somma dei quadrati delle sue componenti vettoriali.<\/span><\/li>\n<p style=\"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-4ada3859e62a25a1edf58d99588b4e6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{v}|=\\sqrt{v_x^2+v_y^2+v_z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"153\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">La velocit\u00e0 istantanea \u00e8 espressa in unit\u00e0 di lunghezza divise per unit\u00e0 di tempo. Pertanto, l&#8217;unit\u00e0 di velocit\u00e0 istantanea nel Sistema Internazionale (SI) \u00e8 il metro al secondo (m\/s).<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">Normalmente in fisica il simbolo della velocit\u00e0 istantanea \u00e8 <sub>vi<\/sub> , ma pu\u00f2 anche essere rappresentato semplicemente dalla lettera v.<\/span> <\/li>\n<\/ul>\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\/vitesse-instantanee.png\" alt=\"velocit\u00e0 istantanea\" class=\"wp-image-7551\" width=\"332\" height=\"328\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vitesse-instantanee-300x291.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vitesse-instantanee.png 645w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-velocidad-instantanea\"><\/span> Formula della velocit\u00e0 istantanea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Matematicamente, la velocit\u00e0 istantanea \u00e8 definita come il limite della velocit\u00e0 media quando l&#8217;intervallo di tempo si avvicina allo zero. Allo stesso modo, la velocit\u00e0 istantanea \u00e8 uguale alla derivata del vettore posizione rispetto al tempo.<\/p>\n<p> La <strong>formula per la velocit\u00e0 istantanea<\/strong> \u00e8 quindi la seguente:<\/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-daa5ead8a6ecab50367355c374cd71bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{v_i}=\\lim_{\\Delta t\\to 0}\\vv{v_m}=\\lim_{\\Delta t\\to 0}\\frac{\\Delta \\vv{r}}{\\ Delta t}=\\frac{d\\vv{r}}{dt}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"268\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Oro: <\/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-d7b092305db0889542440b9729ea7f23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{v_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e8 il vettore velocit\u00e0 istantanea. <\/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-9f98950c0a6a1bd1cf4a63b16f74425b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{v_m}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"21\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e8 il vettore velocit\u00e0 media. <\/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-bd163374155626fffded43e0d746c686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 il vettore spostamento. <\/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> \u00e8 l&#8217;intervallo di tempo che tende a 0, cio\u00e8 un intervallo di tempo infinitamente piccolo. <\/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-d6e0ec5e8aaa18c8763190986ea7ed0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d\\vv{r}}{dt}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"18\" style=\"vertical-align: -12px;\"><\/p>\n<p> \u00e8 la derivata del <a href=\"https:\/\/physigeek.com\/it\/vettore-di-posizione\/\">vettore posizione<\/a> rispetto al tempo. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-de-la-velocidad-instantanea\"><\/span> Esempio reale di velocit\u00e0 istantanea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Affinch\u00e9 tu possa vedere come viene calcolata la velocit\u00e0 istantanea di un istante, ti lasciamo un esempio passo passo di seguito.<\/p>\n<ul>\n<li> Il vettore posizione di un corpo in movimento \u00e8 definito dalla seguente equazione:\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-002a7f8cf5247f80ca497f8bb00da799_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r}(t)=2t^2-8t+4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"143\" style=\"vertical-align: -5px;\"><\/p>\n<p> , qual \u00e8 la velocit\u00e0 istantanea del corpo nel secondo t =5s?<\/li>\n<\/ul>\n<p> Innanzitutto dobbiamo trovare l&#8217;equazione del vettore velocit\u00e0 per determinare la velocit\u00e0 istantanea del cellulare in ogni istante. Per fare ci\u00f2, deriviamo l\u2019equazione della posizione rispetto al tempo:<\/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-002a7f8cf5247f80ca497f8bb00da799_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r}(t)=2t^2-8t+4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"143\" 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-365207045c7b82fe33eae4e844460957_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{v_i}(t)=\\cfrac{d\\vv{r}}{dt}=4t-8\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"147\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Una volta calcolata l&#8217;equazione per il vettore velocit\u00e0 istantanea, \u00e8 sufficiente sostituire l&#8217;istante di tempo nell&#8217;equazione per calcolare il valore della velocit\u00e0 istantanea: <\/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-b24bc0cae9582535962753bc9b4db710_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{v_i}(5)=4\\cdot 5-8=12 \\ \\cfrac{m}{s}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"187\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Velocidad-instantanea-y-velocidad-media\"><\/span> Velocit\u00e0 istantanea e velocit\u00e0 media<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Infine vedremo qual \u00e8 la differenza tra velocit\u00e0 istantanea e velocit\u00e0 media, poich\u00e9 sono due tipi di velocit\u00e0 diversi e in cinematica entrambi i concetti devono essere chiari.<\/p>\n<p> <strong>La velocit\u00e0 media<\/strong> \u00e8 la velocit\u00e0 alla quale un corpo in movimento avrebbe compiuto un movimento se si fosse mosso a velocit\u00e0 costante lungo tutto il percorso.<\/p>\n<p> La <strong>differenza tra velocit\u00e0 istantanea e velocit\u00e0 media<\/strong> \u00e8 che la velocit\u00e0 istantanea \u00e8 la velocit\u00e0 che ha un corpo in un dato momento. Tuttavia, la velocit\u00e0 media \u00e8 la velocit\u00e0 che un corpo avrebbe avuto durante un movimento se si fosse mosso a velocit\u00e0 costante.<\/p>\n<p> In realt\u00e0 la velocit\u00e0 istantanea \u00e8 la velocit\u00e0 media di un intervallo di tempo molto piccolo, talmente piccolo da essere preso come un istante di tempo. <\/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>Vedi:<\/strong> <a href=\"https:\/\/physigeek.com\/it\/velocita-media-3\/\">Qual \u00e8 la velocit\u00e0 media?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Questo articolo spiega cos&#8217;\u00e8 la velocit\u00e0 istantanea in fisica. Troverai quindi la definizione di velocit\u00e0 istantanea, come calcolare la velocit\u00e0 istantanea e un esercizio risolto passo dopo passo. Cos&#8217;\u00e8 la velocit\u00e0 istantanea? La velocit\u00e0 istantanea \u00e8 la velocit\u00e0 di un corpo in movimento in un dato momento. In altre parole, la velocit\u00e0 istantanea di un &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/it\/velocita-istantanea-2\/\"> <span class=\"screen-reader-text\">Velocit\u00e0 istantanea<\/span> Leggi altro &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-404","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site 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