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Constant Velocity

We have already discussed that distance is the total length, along a path, between two points. Displacement is the total length and the direction of an object's path between two points.

Notice that if an object would move in uniform motion away from us, and we plotted a displacement vs. time graph, based on that motion, the slope of the best fit line would be :

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Velocity is the change in displacement over time, expressed as

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What could we expect to see if the object moves towards us? How would the graph change?

The graph would look something like this:

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What does this tell us about the velocity of the object? What is the slope of the graph?

Not worrying about the specific numbers, you should notice that the slope of the line will be a negative number.--Meaning that the velocity of the object would be negative. This doesn't mean that the object in going extremely slow, but that the object is traveling backwards, or towards its starting point.

The + or - in the velocity represents the direction, while the number describes how fast the object is moving in that direction

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