You can hit pretty fast with just shoulder and arm but I don't recommend trying it. Not very well coordinated souls can get injured. Try to relax and see how you 'naturally' like to use your shoulder and arm focusing on keeping everything in the sweetspot of range of motion. Go slow and smooth but the pronation better be snappy otherwise you lose too much control. Start at the contact point and slowly try to expand using more of the chain. knowing the exact feel at the contact point is the most important key.