A distance time graph would show the distance traveled.
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The slope of a speed vs time graph indicates an objects acceleration.
It is a measure of speed of the object, but only in the radial direction: that is, towards or away from the point from which distance is measured. The object could be going around that point in circular motion and the graph would show absolutely nothing.
A horizontal line on a speed vs time graph indicates constant speed.
If you graph distance vs. time, the slope of the line will be the average speed.
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