What Does the Area Under a Position vs. Time Graph Represent?

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SUMMARY

The area under a position vs. time graph does not represent any significant physical quantity. Unlike the area under a velocity vs. time graph, which indicates total displacement or distance traveled, the area under a position vs. time graph has units of length multiplied by time, resulting in a dimensionless quantity without physical meaning. This conclusion is supported by the discussion participants who assert that the area under the position vs. time curve lacks significance.

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Rock32
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This isn't really a homework problem, but I wasn't sure where else to ask this.

The area under (integral) a velocity vs. time graph is total displacement, or if it is absolute value'd, total distance traveled. So then, what does the area under a position vs. time graph signify, if anything?

Thanks
 
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I don't think it signifies anything. The area under a velocity vs time curve has units length/time unit x time, giving you length. The area under a position vs. time curve has units length x time, which doesn't have any significance that I know about.
 

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