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		<title>Solution 6.8c - Revision history</title>
		<link>http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php?title=Solution_6.8c&amp;action=history</link>
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			<title>Ian at 18:49, 11 May 2010</title>
			<link>http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php?title=Solution_6.8c&amp;diff=1106&amp;oldid=prev</link>
			<description>&lt;p&gt;&lt;/p&gt;

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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 18:49, 11 May 2010&lt;/td&gt;
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		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;For the second stage where the lift slows down we first must calculate the maximum speed which is reached after 10 seconds using &amp;lt;math&amp;gt;v=u+at&amp;lt;/math&amp;gt;. &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;For the second stage where the lift slows down we first must calculate the maximum speed which is reached after 10 seconds using &amp;lt;math&amp;gt;v=u+at&amp;lt;/math&amp;gt;. &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;From part a) we have the acceleration is &amp;lt;math&amp;gt;0.075 \text{ m}{{\text{s}}^{-2}}&amp;lt;/math&amp;gt;, giving the maximum sped reached is &amp;lt;math&amp;gt;0+0.075\times 10=0.75\ \text{m}{{\text{s}}^{-1}}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;From part a) we have the acceleration is &amp;lt;math&amp;gt;0&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\textrm{&lt;/ins&gt;.&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt;075 \text{ m}{{\text{s}}^{-2}}&amp;lt;/math&amp;gt;, giving the maximum sped reached is &amp;lt;math&amp;gt;0+0&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\textrm{&lt;/ins&gt;.&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt;075\times 10=0&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\textrm{&lt;/ins&gt;.&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt;75\ \text{m}{{\text{s}}^{-1}}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The total distance travelled using part b) is&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The total distance travelled using part b) is&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;3.75+1 \textrm{.}875=5.625\ \text{m}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;3&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\textrm{&lt;/ins&gt;.&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt;75+1 \textrm{.}875=5&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\textrm{&lt;/ins&gt;.&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt;625\ \text{m}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Tue, 11 May 2010 18:49:06 GMT</pubDate>			<dc:creator>Ian</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php/Talk:Solution_6.8c</comments>		</item>
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			<title>Ian at 18:07, 11 May 2010</title>
			<link>http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php?title=Solution_6.8c&amp;diff=1102&amp;oldid=prev</link>
			<description>&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 18:07, 11 May 2010&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;For the second stage where the lift slows down we &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;use &lt;/del&gt;&amp;lt;math&amp;gt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;s&lt;/del&gt;=&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\frac{1}{2}(&lt;/del&gt;u+&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;v)t&lt;/del&gt;&amp;lt;/math&amp;gt;. &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;This gives the distance travelled during this stage is&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;For the second stage where the lift slows down we &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;first must calculate the maximum speed which is reached after 10 seconds using &lt;/ins&gt;&amp;lt;math&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;v&lt;/ins&gt;=u+&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;at&lt;/ins&gt;&amp;lt;/math&amp;gt;. &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;s=\frac{1}{2}\left( 0 \textrm{.}&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;6 &lt;/del&gt;\right)\times 5=1 \textrm{.}&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt;\ \text{m}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;From part a) we have the acceleration is &amp;lt;math&amp;gt;0.075 \text{ m}{{\text{s}}^{-2}}&amp;lt;/math&amp;gt;, giving the maximum sped reached is &amp;lt;math&amp;gt;0+0.075\times 10=0.75\ \text{m}{{\text{s}}^{-1}}&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;use &amp;lt;math&amp;gt;s=\frac{1}{2}(u+v)t&amp;lt;/math&amp;gt;. This gives the distance travelled during this stage is&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;s=\frac{1}{2}\left(&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;0+ &lt;/ins&gt;0 \textrm{.}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;75 &lt;/ins&gt;\right)\times 5=1 \textrm{.}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;875&lt;/ins&gt;\ \text{m}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The total distance travelled using part b) is&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The total distance travelled using part b) is&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;37&lt;/del&gt;.&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt;+1 \textrm{.}&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt;=&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;39&lt;/del&gt;\ \text{m}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;.&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;75&lt;/ins&gt;+1 \textrm{.}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;875&lt;/ins&gt;=&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;5.625&lt;/ins&gt;\ \text{m}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Tue, 11 May 2010 18:07:52 GMT</pubDate>			<dc:creator>Ian</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php/Talk:Solution_6.8c</comments>		</item>
		<item>
			<title>Ian: New page: For the second stage where the lift slows down we use &lt;math&gt;s=\frac{1}{2}(u+v)t&lt;/math&gt;. This gives the distance travelled during this stage is  &lt;math&gt;s=\frac{1}{2}\left( 0 \textrm{.}6 \rig...</title>
			<link>http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php?title=Solution_6.8c&amp;diff=1006&amp;oldid=prev</link>
			<description>&lt;p&gt;New page: For the second stage where the lift slows down we use &amp;lt;math&amp;gt;s=\frac{1}{2}(u+v)t&amp;lt;/math&amp;gt;. This gives the distance travelled during this stage is  &amp;lt;math&amp;gt;s=\frac{1}{2}\left( 0 \textrm{.}6 \rig...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;For the second stage where the lift slows down we use &amp;lt;math&amp;gt;s=\frac{1}{2}(u+v)t&amp;lt;/math&amp;gt;. This gives the distance travelled during this stage is&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;s=\frac{1}{2}\left( 0 \textrm{.}6 \right)\times 5=1 \textrm{.}5\ \text{m}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The total distance travelled using part b) is&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;37.5+1 \textrm{.}5=39\ \text{m}&amp;lt;/math&amp;gt;&lt;/div&gt;</description>
			<pubDate>Sat, 10 Apr 2010 15:18:10 GMT</pubDate>			<dc:creator>Ian</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/2009/bridgecoursemechanics/index.php/Talk:Solution_6.8c</comments>		</item>
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