instantaneous magnitude of velocity
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The slope of a distance-time graph represents speed.
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)
The rate of change in accelleration.
Magnitude of acceleration (but conveys no informationregarding acceleration's direction).