Solved: In putting, the force with which a golfer strikes

Chapter 2, Problem 67

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In putting, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup. say, 0 m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is. putting downhill, see Fig. 2-39) is more difficult than from a downhill lie. To see why. assume that on a particular green the ball decelerates constantly at 2.0 m/s2going downhill, and constantly at 3.0 m/s2 going uphill. Suppose we have an uphill lie 7.0 m from the cup. Calculate the allowable range of initial velocities we may impart to the ball so that it stops in the range 0 m short to 0 m long of the cup. Do the same for a downhill lie 7.0 m from the cup. What in your results suggests that the downhill putt is more difficult?

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