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There's no such thing as "the unit" for a graph. Each axis has a unit, and you've

stated both of them in your question: One axis is marked in units of (time)2, and

the other is marked in units of (distance)2 . We fail to comprehend the physical

significance or applicability of such a graph, but if it somehow suits your needs,

then knock yourself out. We note that the slope of the graph works out to units

of (speed)2 , so maybe it has something to do with kinetic energy perhaps ? ?

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Q: What is the unit for a time squared vs distance squared graph?
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