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Slope = change in y (distance) / change in x (time).

If the graph is not a straight line then either apply the above formula to the tangent at the point of interest or differentiate the equation of the graph.

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Q: Which method is used to calculate the slope on a distanced-time graph?
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How do you calculate slope on a position time graph?

Calculate slope as slope=(y2-y1)/(t2-t1).


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From a velocity-time graph, you can calculate the acceleration by finding the slope of the graph at a certain point. The area under the graph represents the displacement of the object. You can also determine the direction of motion based on the slope of the graph (positive slope indicates motion in one direction, negative slope indicates motion in the opposite direction).


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If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.


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Why area below the distance-time graph is used to calculate speed?

That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.


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To determine the speed of an object from a graph, you can calculate the average speed by finding the slope of the line connecting two points on the graph. The steeper the slope, the higher the speed. Alternatively, you can also find the instantaneous speed by looking at the slope of the tangent line at a specific point on the graph.


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