A boy walks 25.0 m to the north and then turns around and walks 11.0 m south. Boys! What is the 1) distance he has traveled and, 2) the magnitude of his displacement.
A.4.0 m, 36.0 m
B.36.0 m, 14.0 m
C.36.0 m, 36.0 m
D.14.0 m, 14.0 m
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A boy walks 25.0 m to the north and then turns around and walks 11.0 m south. Boys! What is the 1) distance he has traveled and, 2) the magnitude of his displacement.
A.4.0 m, 36.0 m
B.36.0 m, 14.0 m
C.36.0 m, 36.0 m
D.14.0 m, 14.0 m
To answer this question, we need to understand the concepts of distance and displacement. Distance is the total length of the path traveled, while displacement is the straight-line distance between the initial and final positions.
First, let's calculate the distance traveled by the boy. He walks 25.0 m to the north and then turns around and walks 11.0 m south. To find the total distance, we add the two distances together:
Distance = 25.0 m + 11.0 m = 36.0 m
So, the boy has traveled a distance of 36.0 m.
Now, let's calculate the magnitude of his displacement. Displacement involves considering only the straight-line distance between the initial and final positions.
The boy walks 25.0 m to the north and then changes direction and walks 11.0 m south. This means he ends up 11.0 m below his starting position.
Displacement = 11.0 m (south)
Therefore, the magnitude of his displacement is 11.0 m.
So, the correct answer is option B. The boy has traveled a distance of 36.0 m and has a displacement of 11.0 m.