Golf Physics Problem: Calculate Range of Initial Velocities

[ldbaseball16]

Homework Statement

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,1m long or short, in case the putt is missed. Acomplishing this from an uphill lie is more difficult than from adownhill lie . to see why, assume that on a particular green the ball deccelerates constantly at 2.0m/s^2 going downhill, and constantly at 3.0 m/s^2 going hill. suppose we have an uphill lie 7.0m from the cup. calculate the allowable range of initial velocities we may impart to the ball so that it stops in the range 1.0m short to 1.0m long of the cup. do the same for downhill lie 7.0m from the cup. what in your results suggests that the downhill putt is more difficult?

Homework Equations

V^2=Vo^2+2a(X-Xo)

The Attempt at a Solution

im not sure how to approach this problem because I am not sure what it is asking me I am not sure what what"calculate the allowable range of initial velocities is? does that mean calculate the range?, initial veocities, or both?

 

[LowlyPion]

Homework Statement

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,1m long or short, in case the putt is missed. Acomplishing this from an uphill lie is more difficult than from adownhill lie . to see why, assume that on a particular green the ball deccelerates constantly at 2.0m/s^2 going downhill, and constantly at 3.0 m/s^2 going hill. suppose we have an uphill lie 7.0m from the cup. calculate the allowable range of initial velocities we may impart to the ball so that it stops in the range 1.0m short to 1.0m long of the cup. do the same for downhill lie 7.0m from the cup. what in your results suggests that the downhill putt is more difficult?

Homework Equations

V^2=Vo^2+2a(X-Xo)

The Attempt at a Solution

im not sure how to approach this problem because I am not sure what it is asking me I am not sure what what"calculate the allowable range of initial velocities is? does that mean calculate the range?, initial veocities, or both?

Using the numbers given in the problem calculate the extremes of the ranges (7m +/- 1m) for where the ball will end up in the equation you cited. Of course in your case V_f will be 0.

What does the range in V_i² tell you?

Since you are imparting kinetic energy to the ball with the blade of your putter that is proportional to V_i² then maybe you can get at what the problem is trying to relate by examining the difference between the kinetic energy needed in each case?

 

[baba89]

Additionally, I am not sure what the 1m short or long range is referring to. Is it the range of distances from the cup that the ball can stop in? Without a clear understanding of the problem, I am unable to provide a solution. Can you please provide more context and clarification?