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I heard people complaining about slow shutter speeds on D5100, almost unusable, how true is this?

EDIT: All the answers have been extremely helpful and I sighed with relief having ordered the camera already. It'll be with me next week. I am super excited.
It goes up to 1/4000th if I recall correctly. The only area where the shutter speeds could be considered too slow is if you're trying to sync with off camera flash. I believe the fastest sync speed is 1/200th.