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klio [65]
3 years ago
14

If you walk 1.2 km north and then 1.6 km east, what are the magnitude and direction of your resultant displacement?

Physics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

B

Assume north and east as two sides of a right angled triangle. magnitude of the distance is then given by the length of the hypotenuse which is \sqrt{a^2 + b^2}

where a = 1.2 km north

and b = 1.6 km east

magnitude = 2 km

Direction is given by the angle between them, that is atan(a/b) = 36.86 deg north of east = 53.1 deg east of north.

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