The magnitude of the total displacement is 1000 m
Explanation:
Displacement is a vector quantity connecting the initial position and final position of motion of an object.
The magnitude of the displacement is therefore the distance in a straight line between the initial and final position of motion.
The person in the problem has the following motions:
500 meters due east
866 meters due north
The two motions are perpendicular to each other, so they form the sides of a right triangle, of which the hypothenuse corresponds to the magnitude of the total displacement.
Therefore, the magnitude of the displacement can be simply found by using Pythagorean's theorem:
[tex]d=\sqrt{d_x^2+d_y^2}=\sqrt{500^2+866^2}=1000 m[/tex]
Learn more about distance and displacement:
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