Explain whether the size of an object’s displacement could be greater than the distance the object travels.

distance is measured by the path to get to the end of displacement, so distance can be greater than displacement, but not less.

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nfer whether the size of an object's displacement could be grater than the distance the object travels

The displacement can not be greater than the distance the object travels

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To determine whether the size of an object's displacement can be greater than the distance the object travels, we need to understand what these terms mean and how they differ.

Distance refers to the total path covered by an object. It is a scalar quantity and is always positive. For example, if you drove from point A to point B, the distance you traveled would be the length of the entire route.

Displacement, on the other hand, refers to the change in position of an object from its initial point to its final point. It is a vector quantity because it includes both magnitude and direction. Displacement can be positive or negative, depending on the direction of the movement. It is measured from a reference point or origin. For example, if you walked from your house to the park, and then returned back to your house, your displacement would be zero because you ended up at the same position you started.

Now, when the object moves along a straight line, the magnitude of displacement can be greater than the distance traveled. This happens when the object changes its direction during the motion. For instance, if an object moves forward for a certain distance and then returns backward, its displacement will be the difference between its initial position and final position. This displacement can be greater than the total distance covered, as it only measures the change in position and not the total path taken.

To determine if the size of an object's displacement can be greater than the distance traveled, you need to compare the total distance traveled with the magnitude of the displacement. If the object changes direction at any point during its motion, the displacement can indeed be greater than the distance traveled.

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