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Please show work thanks In putting, the force with which a golfer strikes a ball

ID: 2099026 • Letter: P

Question


Please show work thanks

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 1.00m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is. putting the ball downhill, see the figure) is more difficult than from a downhill lie. (Figure 1). To see why. assume that on a particular green the ball decelerates constantly at 1.9m/s2 going downhill, and constantly at 2.9m/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 1.00m short to 1.00m long of the cup. Express your answers using two significant figures separated by a comma.

Explanation / Answer

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In putting, the force with which a golfer strikes a ball is plannedso that the ball will stop within some small distance of the cup,say 1.0 m long or short, in case the putt is missed. Accomplishing this from an uphill lie is more difficult than from adownhill lie. To see why, assume that on a particular greenthe ball decelerates constantly at 1.8 m/s2 goingdownhill, and constantly at 2.8 m/s2 going uphill. Suppose we have an uphill lie 7.0 m from the cup. Calculatethe allowable range of initial velocities we may impart to the ballso that it stops in the range 1.0m 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 is moredifficult.




For the uphill lie 7m from the cup, let the velocity for the 1mshort of the cup is vl.