The average velocity can be calculated from the slope of the graph
Explanation:
In a position-time graph, the position is represented on the y-axis while the time is represented on the x-axis.
The slope of the graph is given by:
[tex]m=\frac{\Delta y}{\Delta x}[/tex]
where
[tex]\Delta y[/tex] is the change in the y-variable
[tex]\Delta x[/tex] is the change in the x-variable
However, we have:
This means that the slope can be rewritten as
[tex]m=\frac{displacement}{time}[/tex]
However, this ratio corresponds to the definition of average velocity:
[tex]velocity = \frac{displacement}{time}[/tex]
Therefore, the slope of a position-time graph gives the average velocity.
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