Displacement is a vector quantity. That is, it has both magnitude and direction. The displacement of the person will be approximately 7.1 kilometers northeast.
The correct answer is option D
Given that a person walks 5.0 kilometers north, then 5.0 kilometers east.
Displacement is the distance covered in a specific direction.
The displacement of the person will be calculated by using a Pythagorean formula.
D = [tex]\sqrt{y^2 + x^2}[/tex]
D = [tex]\sqrt{5^2 + 5^2}[/tex]
D = [tex]\sqrt{25 + 25}[/tex]
D = [tex]\sqrt{50}[/tex]
D = 7.07 kilometers
The figure above is the magnitude of the displacement. The direction will be toward the northeast direction.
Therefore, the displacement of the person will be approximately 7.1 kilometers northeast.
The correct answer is option D
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