{"id":309,"date":"2018-08-07T20:33:20","date_gmt":"2018-08-07T20:33:20","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/?post_type=chapter&#038;p=309"},"modified":"2019-07-17T18:17:40","modified_gmt":"2019-07-17T18:17:40","slug":"putting-it-together-instantaneous-kinematics","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/chapter\/putting-it-together-instantaneous-kinematics\/","title":{"raw":"Putting It Together: Instantaneous Kinematics","rendered":"Putting It Together: Instantaneous Kinematics"},"content":{"raw":"Equations of motion give us a way to model and predict the behavior of objects as they move through space as a function of time.\u00a0 Kinematic equations allow us to calculate the trajectory of an object, so we can know where at will be and how it will be moving at a particular point in time.\u00a0 Though describing the motion of objects is in itself important, the real power of kinematics becomes clear when we recognize how it connects to the way forces act on an object.\u00a0 The connection between kinematics and dynamics is the acceleration of an object.\u00a0 Forces act on an object, causing it to accelerate.\u00a0 Once we know how it accelerates, we can (at least in theory) determine is motion.\u00a0Alternatively, if we can use an object\u2019s motion to determine its acceleration, we can use the acceleration to calculate how forces are acting on an object.\u00a0 To truly understand an object\u2019s motion, we want to know not just how it moves, but why it moves the way it does.\u00a0 As a result, the full vector problem we are attempting to solve with mechanics requires pairing kinematics with Newton\u2019s laws.","rendered":"<p>Equations of motion give us a way to model and predict the behavior of objects as they move through space as a function of time.\u00a0 Kinematic equations allow us to calculate the trajectory of an object, so we can know where at will be and how it will be moving at a particular point in time.\u00a0 Though describing the motion of objects is in itself important, the real power of kinematics becomes clear when we recognize how it connects to the way forces act on an object.\u00a0 The connection between kinematics and dynamics is the acceleration of an object.\u00a0 Forces act on an object, causing it to accelerate.\u00a0 Once we know how it accelerates, we can (at least in theory) determine is motion.\u00a0Alternatively, if we can use an object\u2019s motion to determine its acceleration, we can use the acceleration to calculate how forces are acting on an object.\u00a0 To truly understand an object\u2019s motion, we want to know not just how it moves, but why it moves the way it does.\u00a0 As a result, the full vector problem we are attempting to solve with mechanics requires pairing kinematics with Newton\u2019s laws.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-309\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Putting It Together: Instantaneous Kinematics. <strong>Authored by<\/strong>: Raymond Chastain. <strong>Provided by<\/strong>: University of Louisville, Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":29,"menu_order":6,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Putting It Together: Instantaneous Kinematics\",\"author\":\"Raymond Chastain\",\"organization\":\"University of Louisville, Lumen 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