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If person moves a distance of 3 km towards east then 2 km towards north and then 3.5 km towards east find distance covered by the person?
Wiki User
∙ 14y ago
Total eastward distance covered = 6.5 km Total northward distance covered = 2 km The scalar distance covered by the person and his shoes is 8.5 km. The magnitude of his displacement vector, i.e. the distance of his final location with respect to his initial location, is sqrt[ (6.5)2 + (2)2 ] = sqrt( 42.25 + 4 ) = sqrt( 46.25 ) = 6.8 km (rounded) Note: Technically, that 6.8 km applies only near the equator. For this simple calculation, we handled 'east' and 'north' as if they were orthogonal coordinates on a cartesian plane. The truth is something different on the surface of a sphere, and the farther you get from the equator, the more different the truth becomes. So we know for sure that 6.8 km is not precisely correct. We don't know how incorrect it is, we think it's probably close, and finally, we believe the questioner doesn't care.
Wiki User
∙ 14y ago
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