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A man runs 25m east then 40 m west. what is the distance he traveled? what is his displacement?

User AymKdn
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1 Answer

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Answer:−1(4025​)

Step-by-step explanation:

The distance he traveled is the sum of the lengths of his two segments, which is 25 m + 40 m = 65 m. The displacement is the difference between his final and initial positions, which is 40 m - 25 m = 15 m west. You can also use the Pythagorean theorem to find the displacement, since the two segments form a right triangle with the displacement as the hypotenuse. The displacement is then (40m)2−(25m)2​

, which is approximately 32.25 m. The direction of the displacement is the angle between the horizontal and the hypotenuse, which can be found using trigonometry. The angle is tan−1(4025​)

User Rafael Mueller
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