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  • 01-11-2020
  • Physics
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if a train travels 80 miles north and 60 miles east, what is the magnitude of its displacement?

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delancygenius
delancygenius delancygenius
  • 01-11-2020

As it's moving in North and east, forming a 90°,

The displacement will be along the hypotenuse

Displacement:

[tex] = \sqrt{{80}^{2} + {60}^{2} }[/tex]

[tex] = \sqrt{6400 + 3600} [/tex]

[tex] = \sqrt{10000} [/tex]

[tex] = 100 \: miles[/tex]

The displacement is 100 miles

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