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It means a constant acceleration:

* If the line slopes up, the object is getting faster at a constant rate;

* if it slopes down, the object is getting slower at a constant rate;

* If the line is horizontal, the object is neither speeding up nor slowing down, but travelling with a constant speed.

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It means that the object is moving at a constant speed (which may be 0) towards or away from the origin. Its motion in any other direction is completely ignored.

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Q: What does a straight line mean on a speed time graph?
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