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Two things:
1) The distance the ball then slides is the same if the ball was in the 2/3 of the stw cone nearer to syndra, call it 3.5 units of sliding.
This means if the ball's right on top of you, the ball will end up just that slide distance away from you, or 3.5 units. If it's 2 units away (which seems to be right before where the distance starts truncating, see 2 below) then you get the ball to end up 2 + 3.5 = 5.5 units away from you.
2) There is a cap on the distance it will end at. Hitting a ball anywhere from 2 to 3 (the max reach for stw) units away, the ball will always stop 5.5 units away. Thus only a 2.5 unit slide for a ball at the max distance away from you.
What it means for us syndra players?
Your stun is further reaching if the ball is in the further region of the stw cone
The ball's slide length is longer if the ball is in the nearer region of the stw cone
And I also agree haunting guise makes more sense than large rod, and yes, I did the math on it. :)
Cheers!
P.S: Sorry for and grammer mistakes or spelling mistakes, I,m German ^^