The distance from the origin at time t, in the direction of motion, is the area under the graph between time 0 and time t.
In a simple speed-time graph the area may be calculated using simple formulae for the areas of triangles, rectangles, trapeziums. In more complicated cases you will need to integrate for the area under the speed-time curve. And in seriously complex cases, you will have to use numerical estimation for the area.
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speed is the gradient under the distance vs time graph which is change in distance /change in time
To find the average speed or rate of something.(:
The slope of a distance-time graph represents speed.
The speed is the slope of the curve in such a graph.
Slope of the graph will give you speed.