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A distance-time graph for an object at rest is a horizontal line.
On a distance-time graph, a straight line indicates a varying speed.
The gradient of a distance-time graph gives the speed of the object.
A curved line on a distance-time graph indicates acceleration.
On a speed-time graph, a non-zero horizontal line indicates constant speed.
The area under a speed-time graph represents acceleration.
The slope of a line on a speed-time graph gives the acceleration.
For a speed-time graph, the area under the graph equals the total distance travelled.
If the speed-time graph is a straight line with a positive slope, the object has constant acceleration.
The shape of a speed-time graph can be used to deduce the motion of an object.