Maybe the difference could be explained with racecar driving. Driving the track correctly, hitting apexes, downshifting at the right moment; that's deliberate practice.
Knowing your car, understanding what a particular vibration means, feeling when you're approaching your traction limit, knowing that your engine is weak from 4-5k RPM, that's tacit knowledge.
Deliberate practice can foster tacit knowledge, however. Going through the motions opens your mind up to understanding what's going on behind the relatively simple task you're performing.