In putting, the force with which a golfer strikes

Chapter 2, Problem 2.79

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In putting, the force with which a golfer strikes a ball isplanned so that the ball will stop within some small distanceof the cup, say 1.0 m long or short, in case the putt is missed.Accomplishing this from an uphill lie (that is, putting theball downhill, see Fig. 2-48) is more difficult than from adownhill lie. To see why, assume that on a particular greenthe ball decelerates constantly at 1.8 m/s2 going downhill,and constantly at 2.8 m/s2 going uphill. Suppose we have anuphill lie 7.0 m from the cup. Calculate the allowable rangeof initial velocities we may impart to the ball so thatit stops in the range 1.0 m short to 1.0 m long of thecup. Do the same for a downhill lie 7.0 m from the cup.What in your results suggests that the downhill putt ismore difficult?

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