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Depending on where the batter stands in the box, the difference in distance to first base is about 2 feet, or for a reasonably fast runner, about 0.07 to 0.08 seconds. The remainder of the 0.2 seconds is presumably caused by the rotational direction of the left handed batter's swing, which tends to point him toward first. A right handed batter tends to end up facing towards third, so he needs time to turn back toward first base.
One of our players siblings did a project for school on just this topic. Team was timed from each box. Player had to swing the bat and run. Time started when they swung. We saw about half second difference on avg. between sides. The project went one step farther to see if a players natural side made a difference. We expected the fastest players(dead sprint from right side no swing) to be the fastest regardless of which side of the plate but that is not what we found. Natural left handers from the left side were faster than natural right handers from the left side. Same for right handers in right box etc. Best overall avg from both sides were the 3 switch hitters. So if you are considering having a right hand batter stand in the left box and bunt you are better off leaving him in his natural right side. The gain in half second to first is lost in his unnatural motion getting out of the box.

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