QuestionAugust 9, 2025

You walk 31 m south and then 31 m west. Your displacement is approximately A. 8.8 m northwest B. 8.8 m southeast C. 44 m northwest D. 44 m southwest

You walk 31 m south and then 31 m west. Your displacement is approximately A. 8.8 m northwest B. 8.8 m southeast C. 44 m northwest D. 44 m southwest
You walk 31 m south and then 31 m west. Your displacement is approximately
A. 8.8 m northwest
B. 8.8 m southeast
C. 44 m northwest
D. 44 m southwest

Solution
4.6(188 votes)

Answer

C. 44 m northwest Explanation 1. Calculate the Displacement Magnitude Use the Pythagorean theorem: **d = \sqrt{(31)^2 + (31)^2}**. d = \sqrt{961 + 961} = \sqrt{1922} \approx 43.8 \text{ m}. 2. Determine the Direction The direction is northwest because you move south and then west.

Explanation

1. Calculate the Displacement Magnitude<br /> Use the Pythagorean theorem: **$d = \sqrt{(31)^2 + (31)^2}$**.<br /> $d = \sqrt{961 + 961} = \sqrt{1922} \approx 43.8 \text{ m}$.<br /><br />2. Determine the Direction<br /> The direction is northwest because you move south and then west.
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