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Re: [Phys-L] Falling - the tale of a simple 1st degree non-linear ODE

I am enjoying the commentaries from David and Carl
with analytic solutions and I liked Richard's
spreadsheet suggestion for modeling a ball drop
from 100km altitude.

For me, the spreadsheet way is effectively iterative,
and a loop in any language, can capture the velocity
 profile or integrate velocity numerically for an
instantaneous altitude suitable for accessing an
analytic expression for air density and g, but without
 the spreadsheet's ready plotting capability.
Matlab's solvers are in fact iterative too, and have
 no problem with an initial up velocity.
See this one for example:

Brian W