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The problem is that Mathematica knows mathematics but not physics.
As stated, your problem is ill posed because you start it off at a
point at which the derivative does not exist.
Perhaps there is a way in Mathematica to start off your problem atYes, that's one possibility.
y=100-epsilon for epsilon>0 and then take the limit as epsilon
an easy way to avoid the fact that the derivative of the square rootThat's even better.
function does not exist at zero is to convert your equation into the
system y’=v and v’=g.
Mathematica knows mathematics but not physics
convert your equation into the system y’=v and v’=g.