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Solving a Puzzling Physics Problem: ##15 \pm 3\sqrt{15}##
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[QUOTE="robphy, post: 6854587, member: 9587"] Here's a Desmos approach: Note the use of piecewise-defined functions (as suggested earlier by [USER=733339]@ryanpruette[/USER]). Note the use of regression (via the ##\tilde{\phantom{w}}## symbol) and the suggestion to probe the range ##T\geq 6##. [URL]https://www.desmos.com/calculator/itf6nyxcub[/URL] [ATTACH type="full"]322220[/ATTACH] You can modify the functions to not-zero-out the parabolas before the vertex, and possibly give suggested ranges for T in the regression. You can also view the velocity functions. You might have to zoom in (on the vertical axis) to see them. Of course, while the goal is to solve the problem analytically, seeing the graphs might help give some intuition about the physical and unphysical solutions. [/QUOTE]
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Solving a Puzzling Physics Problem: ##15 \pm 3\sqrt{15}##
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