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range of height differences. A better approximation, one that

might hold over a larger range of height differences, is that g decreases

linearly with height, g = go - hg', where h is the

height measured from the ground surface and s' is a (small) constant

of the appropriate dimensions. (a) Find the speed of a

dropped object as a function of height assuming it was dropped

starting from rest from a height ho. (b) Find the speed of

a dropped object as a function of time assuming it was dropped

starting from rest from a height ho.

What I've tried to do so far for part a was to integrate acceleration in terms of h. I'm not sure if that is even allowed, but I ended up getting v = g0h - 0.5g'h^2

Then on part b, I more or less got stuck trying to get a formula for h in terms of t, and I'm not quite sure where to start.

I may just be thinking about this incorrectly, so any input on the best method for starting this problem would be welcome.