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What does distance measure?

  1. The shortest path from one point to another

  2. How far an object has moved along its path

  3. The straight-line difference between two points

  4. The total time taken to travel

The correct answer is: How far an object has moved along its path

The measurement of distance is fundamentally defined as how far an object has moved along its path. This definition encompasses the concept of distance being a scalar quantity that measures the interval between two points, regardless of the specific direction of travel. Therefore, when one talks about the distance traveled, they refer to the overall length of the path taken by the object. The other choices address different concepts. The shortest path from one point to another pertains more specifically to the concept of displacement, which involves a vector description with both magnitude and direction. The straight-line difference between two points leans toward the geometric aspect of distance as it can also imply a straight-line relationship, which is a form of displacement. Lastly, total time taken to travel refers to the temporal aspect of movement rather than a measurement of distance itself. In summary, the correct definition highlights distance as a measure of how far an object has moved along its path, keeping in mind that this encompasses all types of motion and paths taken.