Simple acceleration of linear animation values

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Is there a way to add acceleration in Houdini over a hand made animation or expression?
Let's say I want something spinning at 10 rpm or traveling at 0.5m/s, it would be easy to animate this by hand or define an expression.
But if I want to gradually arrive at this cruise speed -how would I go about introducing acceleration?

I've tried to experiment with CHOPs by multiplying this linear value with an animated channel but I'm not arriving at the desired result.
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Can you produce a sample file we can play with?

Cheers,
Toronto - ON
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