Question
Two trains are heading towards each other on the same straight track with speed 15 m/sec and 10 m/sec. When they are 250 m apart the drivers of both the trains apply their brakes. If one train retards at the rate 0·5 m/s2 then what should be the retardation of the second train so that collision of two trains just averts?
Solution
Given, two trains are heading towards each other on the same straight track.
Initial relative speed of two trains,
Let 'a' be the retardation of second train.
Therefore the relative retardation is,
The collision will just avert if the relative speed of the two trains just becomes zero after travelling the distance of 250m.
Now,
∴![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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Initial relative speed of two trains,
Let 'a' be the retardation of second train.
Therefore the relative retardation is,
The collision will just avert if the relative speed of the two trains just becomes zero after travelling the distance of 250m.
Now,
∴
