A man walks 4km due south. After that he walks another 2km along (I) due north (II) due east (III) due west. What is the final displacement from the starting point in each case?
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The two displacement due north and due west and due west are shown .the displacement along north is ON−→− and that along west is NY−→− .the final displacement is given by OW−→− .The magnitude of the final displacement is given by the side OW.
OW−→−=ON−→−+NW−→−
Applying Pythagorean theorem ,
OW2=ON2+NW2
=22+22=8
OW=22–√ km , directed along north - west .
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