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I trust David's solution is correct, but what about a really long fall where rho varies and maybe even long enough that g varies. This was the example I would use with my introductory (Calculus level) classes to show how using a simple spreadsheet could give reasonable solutions. We dropped a bowling ball (my constant in-class prop) from the space shuttle at 100 km high. /cut/On the topic of long falls, it seems that a bowling ball dropped at Space Station altitudes (220 km) might well linger in the vicinity.