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what does the slope of the line on a position vs time graph tell us? type your answer here rewatch
In physics, the formula for velocity \(v=\frac{\Delta x}{\Delta t}\), where \(\Delta x\) is the change in position and \(\Delta t\) is the change in time. On a position - time (\(x - t\)) graph, the slope of the line is calculated as \(\text{slope}=\frac{\Delta x}{\Delta t}\), which is exactly the definition of velocity. So, the slope gives the rate of change of position with respect to time, i.e., velocity.
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The slope of the line on a position vs time graph tells us the velocity.