Hey Chris,
Maybe this will give you an idea. I did this on a new/solid to see how it works.. Found it under the arrow (expression language menu)/Interpolation/EaseIn
add expression to position.
[(easeIn(time/3, 100, 200)), 243]
Also, not sure if it's relevant for this situation, but checkout jjgriffon's expression site (do a yahoo search for it). Under the frequency examples, he shows how to slow a pendulum swing down to nothing.