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Apr 22, 2018 at 3:53 comment added rob No, that's wrong. The terminal velocity in your model depends on both the height (via the relationship between height and total resistance) and also on the coil size (via $\Phi$, as discussed in the other answer). That's not the same thing as being "independent of the height." We can have some back-and-forth in the chat room for this question if you'd like.
Apr 22, 2018 at 3:34 comment added Feynmanfan85 As I think we both agree, you can achieve any rate of acceleration between free fall (g) and 0 by adjusting the radius of the coils. Therefore, given any height, we can achieve any rate of acceleration we like, and therefore, any final velocity we like. Therefore, the velocity is independent of the height.
Apr 22, 2018 at 2:42 history answered rob CC BY-SA 3.0