At the 18th green of the U.S. Open you need to make a 23.5-ft putt to win the tournament. When you hit the ball, giving it an initial speed of 1.54 m/s, it stops 6.00 ft short of the hole.

(a) Assuming the deceleration caused by the grass is constant, what should the initial speed have been to just make the putt?

(b) What initial speed do you need to make the remaining 6.00- ft putt?