[kyleb]

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How hard would a fastball have to be to be more or less unhittable without movement and only average location (ie some pitches on the corners but some catch a lot of the plate).

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This is a pretty good physics question, actually. I would assume that it would have to be fairly high, considering if all you saw as a batter was a 105 mph fastball on the plate, you could do pretty well.

I'm a random 23 year old guy that can easily destroy 90 mph batting practice fastballs in the cages, so I have no real idea from an anecdotal standpoint on how fast it would have to be.