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Tim
on 28 May 2022
From dimensional analysis you can see that the solution has to be of the form t=(d/V)*f(v/V), and someone might be able to figure out function f from the data points, and save the trouble of solving the differential equation.
ChrisR
on 28 May 2022
Sure, but where's the fun in that? :-)
ChrisR
on 28 May 2022
On the other hand, that approach is a good example of what a teacher described as being "lazy and smart"--that is, using cleverness to avoid work. Anyone interested in dimensional analysis might check out CP 46031.
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