Which of the following quantities are vectors? Indude all that apply a distance traveled b displacement caverage speed d. average velocity e instantaneous velocity 2. Numerical values and directions are stated for a variety of quantities. Which of these statements represent a vector description? Indude all that apply. a 20 meters, west b. 9.8 m\/s 35 ml\/h, south d. 16 years old e 60 minutes 1 3.5 m\/s\/s, south 9:-3.5 misis +20 degrees 3. An airplane moves at 141 kryh toward the northeast (45 degrees). What is its component velocity in the northward direction? a. 41 km b. 100 110 km\/h d. 141 km<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n Which of the following quantities are vectors? Indude all that apply a distance traveled b displacement caverage speed d. average velocity e instantaneous velocity 2. Numerical values and directions are stated for a variety of quantities. Which of these statements represent a vector description? Indude all that apply. a 20 meters, west b. 9.8 m\/s […]<\/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-187761","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/187761","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=187761"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/187761\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=187761"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=187761"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=187761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Answers:<\/strong><\/h3>\n\n\n\n
\n
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A vector<\/strong> is a quantity that has both magnitude and direction. Let\u2019s analyze each option:<\/li>\n\n\n\n\n
\n
A vector description<\/strong> includes both a magnitude (numerical value) and a direction. Let\u2019s analyze each:<\/li>\n\n\n\n\n
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[
V_y = 141 \\times \\sin(45^\\circ)
]
[
V_y = 141 \\times 0.707
]
[
V_y = 100 \\text{ km\/h}
] Final Answer:<\/strong>
b. 100 km\/h<\/strong> Explanation:<\/strong>
When breaking a velocity vector into components, the northward component<\/strong> is given by V * sin(\u03b8)<\/strong> and the eastward component<\/strong> is V * cos(\u03b8)<\/strong>. Since northeast means a 45-degree angle<\/strong>, both components are equal. Using trigonometry (sine function)<\/strong>, we find that the northward velocity is 100 km\/h<\/strong>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"