Directly it shows the distance of an object from a fixed point (usually the origin) at various times. The gradient of the tangent to the graph (where it exists) shows the velocity of the object and the second derivative (again, if it exists), gives the acceleration.
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How the speed of something changes over time.
The object is accelerating
A proper speed-time graph is one in which time is plotted on the horizontal axis and the speed of the object under study is plotted on the vertical axis.In fact, what you will come across is most likely to be a radial-speed time graph. In such a graph, the speed depicted is the speed away from of towards the origin (or point of reference) or the component of speed in the radial direction. Movement across that direction is likely to be ignored.Also, to be of real use, you need a velocity time graph, which takes account of the direction of travel.
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