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The velocity.

To convince yourself, consider the units of the slope. Slope = rise/run = vertical/horizontal= distance/time=units of velocity.

Alternately, consider the meaning of the graph. Where the slope is high, the distance is changing fast over a small time - high velocity.

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14y ago
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11y ago

It is the radial speed. That is, the speed of the object in the direction towards or away from the origin. A distance time graph contains no information about transverse speed.

For example, if the object is going around the origin in a circle, the distance time graph will show it as being stationary!

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Q: What is the physical property represented by the slope of a distance time graph?
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