{"id":202367,"date":"2025-03-17T12:30:14","date_gmt":"2025-03-17T12:30:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=202367"},"modified":"2025-03-17T12:30:16","modified_gmt":"2025-03-17T12:30:16","slug":"the-air-is-blowing-at-a-speed-of-75-knots-in-the-direction-of-the-aircraft-flying-at-a-ground-speed-of-775-knots","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/17\/the-air-is-blowing-at-a-speed-of-75-knots-in-the-direction-of-the-aircraft-flying-at-a-ground-speed-of-775-knots\/","title":{"rendered":"The air is blowing at a speed of 75 knots in the direction of the aircraft flying at a ground speed of 775 knots"},"content":{"rendered":"\n<p>The air is blowing at a speed of 75 knots in the direction of the aircraft flying at a ground speed of 775 knots. The air speed of the aircraft, is<\/p>\n\n\n\n<p>A. 775 knots<br>B. 75 knots<br>C. 850 knots<br>D. 675 knots<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is <strong>C. 850 knots<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To calculate the <strong>true airspeed (TAS)<\/strong> of an aircraft, we need to understand the relationship between the <strong>ground speed (GS)<\/strong> and <strong>wind speed<\/strong> in the context of the aircraft&#8217;s motion.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Ground Speed (GS)<\/strong> is the speed of the aircraft relative to the ground.<\/li>\n\n\n\n<li><strong>True Airspeed (TAS)<\/strong> is the speed of the aircraft relative to the air mass through which it is flying.<\/li>\n\n\n\n<li><strong>Wind Speed<\/strong> is the speed of the wind relative to the ground.<\/li>\n<\/ul>\n\n\n\n<p>The wind can either be in the same direction as the aircraft&#8217;s flight path (a tailwind), or opposite to the aircraft&#8217;s flight path (a headwind). In this case, the wind is blowing in the direction of the aircraft, which means it&#8217;s a <strong>tailwind<\/strong>.<\/p>\n\n\n\n<p>The relationship between the <strong>ground speed<\/strong>, <strong>true airspeed<\/strong>, and <strong>wind speed<\/strong> can be expressed as:<\/p>\n\n\n\n<p>[<br>\\text{Ground Speed} = \\text{True Airspeed} + \\text{Wind Speed}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Ground Speed (GS)<\/strong> = 775 knots<\/li>\n\n\n\n<li><strong>Wind Speed<\/strong> = 75 knots (tailwind)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">To find the <strong>True Airspeed (TAS)<\/strong>:<\/h3>\n\n\n\n<p>Since the wind is aiding the aircraft, we add the wind speed to the ground speed:<\/p>\n\n\n\n<p>[<br>\\text{True Airspeed (TAS)} = \\text{Ground Speed (GS)} + \\text{Wind Speed}<br>]<\/p>\n\n\n\n<p>[<br>\\text{True Airspeed (TAS)} = 775 \\text{ knots} + 75 \\text{ knots} = 850 \\text{ knots}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The true airspeed of the aircraft is <strong>850 knots<\/strong>, which corresponds to <strong>option C<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The air is blowing at a speed of 75 knots in the direction of the aircraft flying at a ground speed of 775 knots. The air speed of the aircraft, is A. 775 knotsB. 75 knotsC. 850 knotsD. 675 knots The correct answer and explanation is : The correct answer is C. 850 knots. Explanation: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","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":"","ast-disable-related-posts":"","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":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-202367","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/202367","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=202367"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/202367\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=202367"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=202367"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=202367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}