A ship P is sailing due east at 30 km/h and another ship Q is going due south with a velocity of 40 km/h. Find the velocity of ship Q that will appear to an observer in P. from Physics Motion in A Plane Class 11 Manipur Board
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A ship P is sailing due east at 30 km/h and another ship Q is going due south with a velocity of 40 km/h. Find the velocity of ship Q that will appear to an observer in P.

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#6 {main}</pre> be the unit vectors along east and south.


The velocity of ship P, <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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#6 {main}</pre>, along east.

The velocity of ship Q, stack straight v subscript straight Q with rightwards arrow on top space equals space 40 straight j with hat on top, along south. 
Velocity of the ship is given by, 

                 straight V with rightwards arrow on top space equals space stack straight v subscript straight Q with rightwards arrow on top minus stack straight v subscript straight P with rightwards arrow on top space equals space 40 straight j with hat on top minus 30 straight i with hat on top

Mangitude of velocity,

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#6 {main}</pre>

and

      space space space tanθ equals 30 over 40 equals 0.75

  rightwards double arrow space space straight theta asymptotically equal to 37 degree
Thus, the velocity of ship Q w.r.t. P is 50 km/hr due 37° west of south.

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