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2. terry walks 755 meters north, then turns and walks 425 meters west. …

Question

  1. terry walks 755 meters north, then turns and walks 425 meters west. what is the magnitude of terrys displacement at the end of his walk? 34.4 m 949 m 1180 m 866 m

Explanation:

Step1: Apply Pythagorean theorem

Displacement \(d=\sqrt{d_{north}^{2}+d_{west}^{2}}\), where \(d_{north} = 755\space m\) and \(d_{west}=425\space m\).

Step2: Substitute values

\(d=\sqrt{755^{2}+425^{2}}=\sqrt{570025 + 180625}=\sqrt{750650}\)

Step3: Calculate the square - root

\(\sqrt{750650}\approx866\space m\)

Answer:

866 m