Even 3° per second is too much on a long 737 in gusty wind conditions, that tail gets very close to the ground.
From the 2011 737NG FCTM:
rotation rates vary from 2° to 3° per second
with rates being lowest on longer airplanes. Liftoff attitude is achieved in
approximately 3 to 4 seconds depending on airplane weight and thrust setting.
I flew with a Captain back when I started on the 737-800 first and he used a really fast rotation to about 8° then leave it settle for a second before launching it up again to 15°. He used to fly the -500 for another airline before but I used to cringe every time he'd rotate and wait for a thud
