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A girl leaves a history classroom and walks 24.47 meters north to a drinking fountain. Then she turns and walks -24.85 meters south to an art classroom. What is the girl's total displacement from the history classroom to the art classroom?

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Answer:

Explanation: -0.38 meters south.

To find the girl's total displacement from the history classroom to the art classroom, we need to determine the net distance and direction traveled.

First, let's calculate the net distance. The girl walks 24.47 meters north to the drinking fountain and then walks -24.85 meters south to the art classroom. To find the net distance, we need to add these two distances together.

24.47 meters + (-24.85 meters) = -0.38 meters

The net distance is -0.38 meters. The negative sign indicates that the displacement is in the opposite direction of the initial movement (north).

Now, let's determine the direction of the displacement. Since the net distance is negative, it means the girl ended up south of the starting point, which is the history classroom.

Therefore, the girl's total displacement from the history classroom to the art classroom is -0.38 meters south.

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