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The length of a runners displacement and the distance traveled will be the same if the runners motion is

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Final answer:

When the length of a runner's displacement and the distance traveled are the same, the runner's motion is uniform motion.

Step-by-step explanation:

When the length of a runner's displacement and the distance traveled are the same, the runner's motion is uniform motion. This means that the runner is moving with a constant velocity in a straight line.

For example, if a runner moves 5 meters in a straight line, then their displacement is also 5 meters, considering the initial position as 0 meters and taking the direction of motion as positive. In this case, the distance traveled is also 5 meters.

Therefore, when a runner's motion is uniform, their displacement and distance traveled will be the same.

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