How Much Should a Golfer Increase the Putt Speed to Overcome Grass Resistance?

[buffgilville]

A golfer misjudges a putt, sending the ball a fraction 0.67 of the distance to the hole. If the force of resistance due to the grass is constant, by what fraction should he increase the speed to make the putt?

I have no clue how to do this type of problem. Someone please help. Thanks

 

[PeteTully]

Well, if the golfer has already covered 0.67fraction of the distance to the whole, that equates to 2/3 of the total distance.

if he has already covered 2/3's of the distance, that means that 1/3 is left to go.

and since he was able to go 2/3 of the distance with his inital speed, how should he adjust it to only go 1/3 of the distance for his next putt?

don't know if this clarifies it good enough for you, I am not really sure how to explain it without giving the answer away.

 

[wais]

!

Hi there, don't worry, I can help you with this problem. To solve this, we can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration. In this case, the force of resistance due to the grass is acting as the opposing force to the golfer's putt. Since the force of resistance is constant, we can assume that the acceleration is also constant.

To find the fraction by which the golfer should increase the speed, we need to first determine the initial speed of the ball. We know that the ball traveled 0.67 of the distance to the hole, so we can assume that it had a speed of 0.67 times the final speed. Let's call this initial speed v0 and the final speed v.

Now, let's set up an equation using the F = ma formula. We know that the mass of the ball remains constant, so we can ignore it for now. We also know that the acceleration is constant, so we can write a as (v-v0)/t, where t is the time it takes for the ball to travel the remaining 0.33 of the distance to the hole.

Substituting these values into the formula, we get F = m(v-v0)/t. Now, we can solve for v by rearranging the equation to v = (Ft/m) + v0. This is the final speed that the ball needs to have to make the putt.

To find the fraction by which the golfer should increase the speed, we can divide v by v0. This gives us (Ft/mv0) + 1. By substituting the values of F, t, m, and v0, we can calculate the final fraction.

I hope this helps you solve the problem. Remember, practice makes perfect, so keep working on similar problems to improve your understanding. Good luck!