<h2>Summary</h2>
<ul>
<li>Velocities in two dimensions are added using the same analytical vector techniques, which are rewritten as

<div>\({v}_{x}=v\phantom{\rule{0.25em}{0ex}}\text{cos}\phantom{\rule{0.25em}{0ex}}\theta \)</div>
<div>\({v}_{y}=v\phantom{\rule{0.25em}{0ex}}\text{sin}\phantom{\rule{0.25em}{0ex}}\theta \)</div>
<div>\(v=\sqrt{{v}_{x}^{2}+{v}_{y}^{2}}\)</div>
<div>\(\theta ={\text{tan}}^{-1}\left({v}_{y}/{v}_{x}\right).\)</div>
</li>
<li>Relative velocity is the velocity of an object as observed from a particular reference frame, and it varies dramatically with reference frame.</li>
<li><strong>Relativity</strong> is the study of how different observers measure the same phenomenon, particularly when the observers move relative to one another. <strong>Classical relativity</strong> is limited to situations where speed is less than about 1% of the speed of light (3000 km/s).</li>
</ul>
<p> </p>
<h2>Glossary</h2>
<h3>classical relativity</h3>
<p>the study of relative velocities in situations where speeds are less than about 1% of the speed of light—that is, less than 3000 km/s</p>
<h3>relative velocity</h3>
<p>the velocity of an object as observed from a particular reference frame</p>
<h3>relativity</h3>
<p>the study of how different observers moving relative to each other measure the same phenomenon</p>
<h3>velocity</h3>
<p>speed in a given direction</p>
<h3>vector addition</h3>
<p>the rules that apply to adding vectors together</p>
<h3>Also Read:</h3>
<p><a aria-label="“Relative Velocity” (Edit)" class="row-title" href="https://app.ulearngo.com/lesson/relative-velocity/">Relative Velocity</a></p>
<p><a aria-label="“Relative Velocities and Classical Relativity” (Edit)" class="row-title" href="https://app.ulearngo.com/lesson/relative-velocities-and-classical-relativity/">Relative Velocities and Classical Relativity</a></p>
<section data-element-type="conceptual-questions"></section>

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Summarizing Addition of Velocities

Physics is a science discipline concerned with the nature and properties of matter and energy. Physics topics include mechanics, heat, light and radiation, sound, electricity, magnetism, the structure of atoms, and so on.

Physics

Explore the principles of two-dimensional kinematics, including mastering vector addition and subtraction, resolving a vector into components, and analyzing projectile motion and relative velocities.


Summarizing Addition of Velocities

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