The magnitude of the displacement is B) 13 blocks
Explanation:
Displacement is a vector connecting the initial position to the final position of motion of a body.
In this problem, the girl walks:
- First, 12 blocks east
- Then, 5 blocks north
We notice that the two motions of the girl are in perpendicular direction, so they correspond to the sides of a right triangle. The hypothenuse of this triangle is indeed the displacement of the girl.
This means that the magnitude of the displacement can be found by using Pythagorean's theorem. Therefore, we find:
[tex]d=\sqrt{d_x^2+d_y^2}=\sqrt{12^2+5^2}=13[/tex] blocks
So, the magnitude of the displacement is
B. 13 blocks
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