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		<title>Solution 19.7c - Revision history</title>
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		<updated>2026-05-27T19:00:08Z</updated>
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		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php?title=Solution_19.7c&amp;diff=1480&amp;oldid=prev</id>
		<title>Ian: New page: The expression for the velocity &lt;math&gt;\mathbf{v}&lt;/math&gt; has been obtained in part b),  &lt;math&gt;\begin{align} &amp; \mathbf{r}=\int{\mathbf{v}}dt \\  &amp;  \\  &amp; =\left( \frac{{{t}^{3}}}{2}-8t+{{d}_...</title>
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				<updated>2010-10-11T16:31:29Z</updated>
		
		<summary type="html">&lt;p&gt;New page: The expression for the velocity &amp;lt;math&amp;gt;\mathbf{v}&amp;lt;/math&amp;gt; has been obtained in part b),  &amp;lt;math&amp;gt;\begin{align} &amp;amp; \mathbf{r}=\int{\mathbf{v}}dt \\  &amp;amp;  \\  &amp;amp; =\left( \frac{{{t}^{3}}}{2}-8t+{{d}_...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;The expression for the velocity &amp;lt;math&amp;gt;\mathbf{v}&amp;lt;/math&amp;gt; has been obtained in part b),&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\begin{align}&lt;br /&gt;
&amp;amp; \mathbf{r}=\int{\mathbf{v}}dt \\ &lt;br /&gt;
&amp;amp;  \\ &lt;br /&gt;
&amp;amp; =\left( \frac{{{t}^{3}}}{2}-8t+{{d}_{1}} \right)\mathbf{i}+\left( \frac{3{{t}^{2}}}{4}-\frac{5{{t}^{3}}}{24}+{{d}_{2}} \right)\mathbf{j} \\ &lt;br /&gt;
&amp;amp;  \\ &lt;br /&gt;
&amp;amp; t=0,\ \mathbf{r}=90\mathbf{i}+20\mathbf{j}\ \Rightarrow \ {{d}_{1}}=90,\ {{d}_{2}}=20 \\ &lt;br /&gt;
&amp;amp;  \\ &lt;br /&gt;
&amp;amp; \mathbf{r}=\left( \frac{{{t}^{3}}}{2}-8t+90 \right)\mathbf{i}+\left( \frac{3{{t}^{2}}}{4}-\frac{5{{t}^{3}}}{24}+20 \right)\mathbf{j}  &lt;br /&gt;
\end{align}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ian</name></author>	</entry>

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