Existence of the instantaneous center

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I would like to find a proof for the existence of the instantaneous center, and show that it only exists for velocity and not acceleartion. Anyone know where I could find this proof.
 
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Have a look at this -

http://em-ntserver.unl.edu/Negahban/em373/note16/note.htm
 
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Instantaneous center of what?
 
instantaneous center of a rigid body
 
a rotating rigid body, surely ?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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