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Bob's displacement: If Bob walks 81 meters east and then 103 meters south, what is Bob's displacement from his starting point?

a) 184 meters
b) 22 meters
c) 124 meters

User Crackmigg
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1 Answer

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Final answer:

Bob's displacement from his starting point, after walking 81 meters east and then 103 meters south, is approximately 131 meters. This calculation is based on the Pythagorean theorem, and none of the given options match this result.

Step-by-step explanation:

The student's question is seeking the displacement of Bob after he walks 81 meters east and then 103 meters south. Displacement in physics is a vector quantity that represents the shortest distance from the initial to the final position of a point. To find Bob's displacement, we calculate the magnitude of the resultant vector originating from his starting point and ending at his final position. Since displacement is a vector, we can use the Pythagorean theorem to find the resultant magnitude when the two vectors are at right angles.

Bob's displacement can be calculated as:
Sqrt(81^2 + 103^2) = Sqrt(6561 + 10609) = Sqrt(17170) ≈ 131 meters

Therefore, out of the given options, none exactly match the calculated displacement, so it seems like the provided options may not be accurate.

User Matchu
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