In $1889,$ at Jubbulpore, India, a tug-of-war was finally won after $2 \mathrm{~h} 41 \mathrm{~min},$ with the winning team displacing the center of the rope $3.7 \mathrm{~m} .$ In centimeters per minute, what was the magnitude of the average velocity of that center point during the contest?