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Kitty [74]
3 years ago
15

If you walk 1.4 km north and then 4.8 km east, what are the magnitude and direction of your resultant displacement?

Physics
1 answer:
olchik [2.2K]3 years ago
8 0

A


North and east are perpendicular directions hence we can use them as the basis of our coordinate system. The coordinates of this point can then simply be represented as

P = 1.4 N + 4.8 E (km)

The magnitude can be given by the right triangle formula :

P = \sqrt{N^2 + E^2}

= 5 km

Direction  = atan(N/E) = 16.3  deg north of east = 73.7 deg east of north


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