{"id":33743,"date":"2025-06-23T10:51:35","date_gmt":"2025-06-23T10:51:35","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=33743"},"modified":"2025-06-23T10:51:36","modified_gmt":"2025-06-23T10:51:36","slug":"for-general-projectile-motion-with-no-air-resistance-the-magnitude-of-the-vertical-component-of-a-projectiles-velocity","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/for-general-projectile-motion-with-no-air-resistance-the-magnitude-of-the-vertical-component-of-a-projectiles-velocity\/","title":{"rendered":"For general projectile motion with no air resistance, the magnitude of the vertical component of a projectile\u2019s velocity"},"content":{"rendered":"\n<p>For general projectile motion with no air resistance, the magnitude of the vertical component of a projectile\u2019s velocity <\/p>\n\n\n\n<p>A) remains zero. <\/p>\n\n\n\n<p>B) remains a non-zero constant. <\/p>\n\n\n\n<p>C) continuously increases. <\/p>\n\n\n\n<p>D) continuously decreases. <\/p>\n\n\n\n<p>E) first decreases and then increases.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer: E) first decreases and then increases<\/strong><\/p>\n\n\n\n<p>In general projectile motion without air resistance, the vertical component of a projectile&#8217;s velocity does <strong>not<\/strong> stay constant. Instead, it <strong>first decreases to zero<\/strong>, then <strong>increases in the opposite direction<\/strong>.<\/p>\n\n\n\n<p>When an object is projected at an angle to the horizontal, its motion can be broken into two components: <strong>horizontal<\/strong> and <strong>vertical<\/strong>. The horizontal component of velocity remains constant because there is no horizontal force (neglecting air resistance). However, the vertical component is affected by gravity.<\/p>\n\n\n\n<p>At the moment the projectile is launched, it has an upward vertical velocity. As it rises, gravity acts in the opposite direction of this motion. This causes the vertical speed to <strong>decrease<\/strong> steadily at a rate of approximately <strong>9.8 m\/s\u00b2<\/strong>. Eventually, at the <strong>peak<\/strong> or <strong>maximum height<\/strong> of its flight, the vertical velocity reaches <strong>zero<\/strong>.<\/p>\n\n\n\n<p>After reaching the peak, the projectile begins to fall. Now, gravity continues to act downward, but this time it is in the same direction as the motion. As a result, the <strong>magnitude<\/strong> of the vertical velocity begins to <strong>increase<\/strong> again, but now the velocity is directed downward.<\/p>\n\n\n\n<p>Thus, the <strong>magnitude<\/strong> (size) of the vertical velocity <strong>first decreases<\/strong> as the projectile goes up, then <strong>increases<\/strong> as it comes down. This behavior occurs in every projectile motion problem where there is an initial vertical component and gravity is the only vertical force.<\/p>\n\n\n\n<p>This pattern explains why the correct answer is <strong>E: first decreases and then increases<\/strong>. The key idea is that gravity changes the vertical velocity over time, but it does so in a smooth and predictable way.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For general projectile motion with no air resistance, the magnitude of the vertical component of a projectile\u2019s velocity A) remains zero. B) remains a non-zero constant. C) continuously increases. D) continuously decreases. E) first decreases and then increases. The correct answer and explanation is: Correct Answer: E) first decreases and then increases In general projectile [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-33743","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33743","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=33743"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33743\/revisions"}],"predecessor-version":[{"id":33745,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33743\/revisions\/33745"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=33743"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=33743"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=33743"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}