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Average Acceleration

<p style="margin: 0.5em 0px 1em; padding: 0px; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; line-height: inherit; font-family: -apple-system, BlinkMacSystemFont, &quot;Segoe UI&quot;, Roboto, Lato, Helvetica, Arial, sans-serif; vertical-align: baseline;">An object's average acceleration over a period of&nbsp;<a href="https://en.m.wikipedia.org/wiki/Time_in_physics" title="Time in physics" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline; color: rgb(107, 75, 161);">time</a> is its change in&nbsp;<a href="https://en.m.wikipedia.org/wiki/Velocity" title="Velocity" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline; color: rgb(107, 75, 161);">velocity</a>&nbsp;<span class="mwe-math-element" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline;"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline; display: none; clip: rect(1px, 1px, 1px, 1px); overflow: hidden; position: absolute; width: 1px; height: 1px; opacity: 0;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\Delta \mathbf {v} )}"><semantics><annotation encoding="application/x-tex">{\displaystyle (\Delta \mathbf {v} )}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/24fda3bc01c4f79776f4079027fe08f8799858c8" class="mwe-math-fallback-image-inline" aria-hidden="true" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: -0.838ex; display: inline-block; width: 5.156ex; height: 2.843ex;"></span><span style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline;">&nbsp;</span>divided by the duration of the period&nbsp;<span class="mwe-math-element" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline;"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline; display: none; clip: rect(1px, 1px, 1px, 1px); overflow: hidden; position: absolute; width: 1px; height: 1px; opacity: 0;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\Delta t)}"><semantics><annotation encoding="application/x-tex">{\displaystyle (\Delta t)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2c71ef01a89de87f1925c1295b57800a4ce5fe65" class="mwe-math-fallback-image-inline" aria-hidden="true" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: -0.838ex; display: inline-block; width: 4.585ex; height: 2.843ex;"></span><span style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline;">&nbsp;</span>. Mathematically,</p><dl style="margin: 0px 0px 0px 1em; padding: 0px; border: 0px; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-stretch: inherit; line-height: inherit; font-family: -apple-system, BlinkMacSystemFont, &quot;Segoe UI&quot;, Roboto, Lato, Helvetica, Arial, sans-serif; vertical-align: baseline;"><dd style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline; overflow: auto;"><span class="mwe-math-element" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline;"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: baseline; display: none; clip: rect(1px, 1px, 1px, 1px); overflow: hidden; position: absolute; width: 1px; height: 1px; opacity: 0;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\bar {\mathbf {a} }}={\frac {\Delta \mathbf {v} }{\Delta t}}.}"><semantics><annotation encoding="application/x-tex">{\displaystyle {\bar {\mathbf {a} }}={\frac {\Delta \mathbf {v} }{\Delta t}}.}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/941bc4c58dbc6f6716ce1d0024ff29e2ee82a0c9" class="mwe-math-fallback-image-inline" aria-hidden="true" style="margin: 0px; padding: 0px; border: 0px; font: inherit; vertical-align: -2.005ex; display: inline-block; width: 9.228ex; height: 5.509ex;"></span></dd></dl>