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@This document (5.4 Position-time graph) is re-created by administrator on 29 March 2017
@


1.5
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@This document (5.4 Position-time graph) is lastly updated by administrator status:PUBLISHED on 30 October 2017
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    "altnames": "5.4 Position-time graph",
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    "content": "<h1 style=\"text-align: justify;\"><span style=\"font-size:36px;\">Let's do exercises</span></h1>\r\n\r\n<p style=\"text-align: justify;\"><strong><span style=\"font-size: 20px; letter-spacing: -1.2px;\">(1) &nbsp;</span></strong><span style=\"font-size:20px;\">Use the table given below to make another graph of the race between the tortoise and rabbit.</span></p>\r\n\r\n<dl>\r\n\t<dd>&nbsp;\r\n\t<table align=\"center\" border=\"1\" cellpadding=\"1\" cellspacing=\"1\" style=\"width: 300px;\">\r\n\t\t<tbody>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">Time<br />\r\n\t\t\t\t(min)</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">Rabbit<br />\r\n\t\t\t\t(meter)</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">Tortoise<br />\r\n\t\t\t\t(meter)</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">0</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">1</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">0</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">1</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">20</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">10</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">2</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">40</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">20</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">3</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">30</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">4</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">40</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">5</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">50</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">6</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">7</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">70</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">8</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">80</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">9</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">90</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">10</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">60</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">100</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">11</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">87</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">100</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t\t<tr>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">11.5</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">100</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t\t<td>\r\n\t\t\t\t<p><span style=\"font-size:16px;\">100</span></p>\r\n\t\t\t\t</td>\r\n\t\t\t</tr>\r\n\t\t</tbody>\r\n\t</table>\r\n\t</dd>\r\n</dl>\r\n\r\n<dl>\r\n</dl>\r\n\r\n<dl>\r\n</dl>\r\n\r\n<p style=\"text-align: justify;\">&nbsp;</p>\r\n\r\n<p style=\"text-align: justify;\"><span style=\"font-size:20px;\"><strong>(2)</strong>&nbsp;A goods train is going from Itarsi station to Bhopal station. At 12:00 PM it leaves&nbsp;Hoshangabad and after 15 minutes at an upward track, its engine and brakes fail&nbsp;and the&nbsp;train rolls backward&nbsp;for 5 km and stops on&nbsp;a plane track. The driver and the train guard inform&nbsp;the&nbsp;controller. A new engine takes 20 minutes to arrive there. The new engine pulls the train and helps it&nbsp;to cross the valley in next 20 minutes. The graph and table given&nbsp;below is based on this story but are left incomplete. Can you draw the remaining portion of the graph and fill in the table as well?</span></p>\r\n\r\n<h3 style=\"text-align: justify;\"><font face=\"OpenSans-Italic, sans-serif\"><span style=\"font-size: 20px;\"><i>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</i></span></font><img alt=\"2\" png=\"\" src=\"/media/7/9/e/6996b591fe9d231028e197a46ef9a2c75079c5670e92695998ca1799becda.png\" style=\"width: 600px;\" />&nbsp;&nbsp;</h3>\r\n&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;&nbsp; &nbsp;\r\n\r\n<table align=\"center\" cellpadding=\"4\" cellspacing=\"0\" style=\"width: 300px;\" width=\"261\">\r\n\t<tbody>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"127\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">Time</span></p>\r\n\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">(min)</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"116\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">Distance<br />\r\n\t\t\t(km)</span></p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"127\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">12.00</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"116\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">0.0</span></p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"127\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">12.15</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"116\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">......</span></p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"127\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">......</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"116\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">10</span></p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"127\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">12.40</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"116\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">.....</span></p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"127\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">......</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"116\">\r\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size:16px;\">20</span></p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t</tbody>\r\n</table>\r\n\r\n<h3 style=\"text-align: justify;\">&nbsp;</h3>\r\n\r\n<p style=\"text-align: justify;\"><span style=\"font-size:20px;\"><strong>(3)</strong> The graph given below shows the journey of two sisters Kimi and Ziki from their home&nbsp;to the school. Kimi takes a stop at a book shop. After a while Ziki also joins her. Then from the shop&nbsp;they go to the school together. Fill up the table given below using the information given in the graph.</span></p>\r\n\r\n<h3 style=\"text-align: justify;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;<img alt=\"3\" png=\"\" src=\"/media/2/2/d/fbf06c478d804f9f1af91430018ee5585b59ca62b11bc2fa9ff7c5818b560.png\" width=\"600\" /></h3>\r\n\r\n<p style=\"text-align: justify;\"><span style=\"font-size:20px;\"><font face=\"OpenSans-Italic, sans-serif\"><i>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</i></font></span></p>\r\n\r\n<table align=\"center\" cellpadding=\"4\" cellspacing=\"0\" style=\"width: 300px;\" width=\"249\">\r\n\t<tbody>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">Time</span></p>\r\n\r\n\t\t\t<p><span style=\"font-size:16px;\">(sec)</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p><span style=\"font-size:16px;\">Kimi</span></p>\r\n\r\n\t\t\t<p><span style=\"font-size:16px;\">(m)</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p><span style=\"font-size:16px;\">Ziki</span></p>\r\n\r\n\t\t\t<p><span style=\"font-size:16px;\">(m)</span></p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">0</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">5</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">15</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">20</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">25</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">30</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">35</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"89\">\r\n\t\t\t<p><span style=\"font-size:16px;\">40</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"72\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"63\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t</tbody>\r\n</table>\r\n<span style=\"font-size:20px;\"> &nbsp;</span>\r\n\r\n<table align=\"center\" cellpadding=\"4\" cellspacing=\"0\" width=\"100%\">\r\n\t<tbody>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"86%\">\r\n\t\t\t<p><span style=\"font-size:20px;\">(i) Who takes less time to reach the shop?</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"14%\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"86%\">\r\n\t\t\t<p><span style=\"font-size:20px;\">(ii) For how long did Kimi stay&nbsp;at the shop?</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"14%\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"86%\">\r\n\t\t\t<p><span style=\"font-size:20px;\">(iii) Can you identify the part of the line depicting Kimi's stay at the shop?</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"14%\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t\t<tr valign=\"top\">\r\n\t\t\t<td width=\"86%\">\r\n\t\t\t<p><span style=\"font-size:20px;\">(iv) What was the distance between the school and the shop, between the home and&nbsp;the shop?</span></p>\r\n\t\t\t</td>\r\n\t\t\t<td width=\"14%\">\r\n\t\t\t<p>&nbsp;</p>\r\n\t\t\t</td>\r\n\t\t</tr>\r\n\t</tbody>\r\n</table>\r\n&nbsp;&nbsp;\r\n\r\n<p style=\"text-align: justify;\"><span style=\"font-size:20px;\"><strong>(4)</strong> Vimal and Abid participate in 1000 meter race. The slope of the graph shows their run.&nbsp;Who ran faster, Abid or Vimal? Why do you think so?&nbsp;</span><br />\r\n<br />\r\n&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp;&nbsp;<img alt=\"4\" png=\"\" src=\"/media/d/0/7/17a970675bd4174b36caddfa9a7e80447fed6e2d9b5adb7843a011ec412b7.png\" width=\"600\" /></p>\r\n\r\n<div style=\"text-align: justify;\"><span style=\"font-size:20px;\"><font face=\"OpenSans-Italic, sans-serif\"><i>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</i></font></span></div>\r\n\r\n<p style=\"text-align: justify;\"><strong style=\"font-size: 20px;\">(5)&nbsp;</strong><span style=\"font-size: 20px;\"> A school bus with kids leaves the village at 10 AM. At 11 AM when it reaches the bridge, the river is flooded and flowing over the bridge. The bus&nbsp;has&nbsp;to stop there for two hours. At 1 PM, when the river flow goes down and the water level is lower than the bridge, the bus&nbsp;crosses it. It takes the bus another hour to reach the school. By&nbsp;that time the school is already over. The bus&nbsp;begins its return journey right away. In just one hour it drops&nbsp;the kids at the village. Depict this story on a graph.</span><span style=\"font-size: 20px;\">&nbsp; &nbsp;&nbsp;</span></p>\r\n\r\n<p style=\"text-align: justify;\"><br />\r\n&nbsp;</p>\r\n",
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1.4
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