Problem 54670. Solve an ODE: precocious pair’s porcine pursuit
The simplicity of the final answer to this problem does not really reflect the work required to get it.
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.
Sure, but where's the fun in that? :-)
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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