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Question
the slope (rise over run) of a velocity vs. time graph is the ______. graph 3: velocity vs time graph of velocity (m/s) on y - axis and time (s) on x - axis options: acceleration, displacement, velocity, time
In a velocity - time graph, the slope is calculated as the change in velocity ($\Delta v$) divided by the change in time ($\Delta t$). The formula for acceleration ($a$) is $a=\frac{\Delta v}{\Delta t}$, which is exactly the formula for the slope of a velocity - time graph. Displacement is the area under the velocity - time graph, velocity is the y - axis variable, and time is the x - axis variable, so they are not related to the slope in this way.
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A. acceleration