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If the plotted points on a speed-time graph do not form a straight line, what do you know about the object's acceleration?
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The acceleration is not constant.
The rate of change of velocity, or change in velocity / change in time, is acceleration. So the slope of a velocity vs time graph is actually a description of acceleration. On a straight line graph, the slope is always the same. On non-linear graphs, slope is variable and changes depending on where you are on the line. So if you graph is not a straight line, it has variable acceleration at different points.
I hope that makes sense.
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