Question

I walk 500 meters due east from my home and then walk 866

Answer 1

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:

$d=\sqrt{d_x^2+d_y^2}=\sqrt{500^2+866^2}=1000 m$

Learn more about distance and displacement:

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