iKokomo

I am looking for a Power or motorized zoom lens for my BMPCC. 

I have been looking at this nice pancake, smaller sized Olympus M.ZUIKO Digital ED 14-42mm f3.5-5.6 EZ Lens. 

Will the Motor, power zoom on this lens work with my BMPCC? 

If not, does anyone have a list of power/motorized zoom lenses that will work with my camera? 

Thanks!

EDIT:  I just noticed that there is a Panasonic LUMIX G X Vario PZ 14-42mm that has a built in, physical on the lens, zoom switch. Will this work fine??

I was in a thrift store and I ran across this C mount lens (Rainbow TV Zoom Lens H6X8 (not the II model) 8-48mm F/1.0) for $5 USD and I could not pass it up especially since I just got a BMPCC. 
After putting on my camera (with an adapter) I noticed a fairly large vignette on the camera and it does not really focus unless the aperture number is very high. 
After doing research on this I read that the lens can be modified (or hacked) to work on my camera well. Or do I need a special mount? 
I saw a lot of people saying it could be done, but I did not really see any instructions on how to do this or what mount to buy. 

How can I do this? It seems like a nice lens, but is it worth it? 

Thanks a lot!