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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the physical quantity is distance and unit is meters
Acceleration is measured in (distance) per (unit of time) squared; for example, feet/second squared in the SI (metric) system the official unit is metres/second/second or metres/(second squared)
Acceleration is a change in velocity per unit of time. Velocity is distance (d) per unit of time (t). That makes acceleration distance per unit of time squared, or something like this:We have distance/time2, or d/t2Distance is commonly measured in meters, and time in seconds. This makes acceleration appear in meters per second per second, or meters per second squared, or m/sec2.m/s2meters per second squared
It is 1 unit of distance per 1 unit of time.
Speed is measured in units of (Distance) over (Time). So Speed divided by Time would be equivalent to (Distance) over (Time squared), which is the unit of measurement for Acceleration.