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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 1.0 $\mathrm{m}$ long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is, putting the ball downhill, see Fig. 48 ) is more difficult than from a downhill lie. To see why, assume that on a particular green the ball decelerates constantly at 1.8 $\mathrm{m} / \mathrm{s}^{2}$ going downhill, and constantly at 2.8 $\mathrm{m} / \mathrm{s}^{2}$ going uphill. Suppose we have an uphill lie 7.0 $\mathrm{m}$ from the cup. Calculate the allowable range of initial velocities we may impart to the ball so that it stops in the range 1.0 $\mathrm{m}$ short to 1.0 $\mathrm{m}$ long of the cup. Do the same for a downhill lie 7.0 $\mathrm{m}$ from the cup. What in your results suggests that the downhill putt ismore difficult?

The range of velocities for uphill is 4.6 $m / s$ to 5.4 $m / s$ with a spread of 0.8 $m/ s$ .The velocities for this situation lie between $5.8 m / s$ and 6.7 $m / s$ and the spread

The range of velocities is smaller for putting down the hill, more control in putting is necessary and so putting the ball downhill is more difficult.

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Andrey S.

July 23, 2021

I have a question about understanding the meaning of the question,and I do not have the experince of playing golf.Can you understand?my lovely friend.I would like to watch your beautiful foot ,kiss them,and smell them if you are a young beautiful girl

Rutgers, The State University of New Jersey

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Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

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In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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So first we'll do the calculations for the uphill lie on Dhe so we can say that again. We don't have time, so we have to save velocity. Final squared equals velocity Initial squared, plus two times a Delta X. We know that the initial velocity of the ball is gonna be zero. And so we can say that velocity rather my policies the, um the final velocity of the ball should be zero, and we need to hit it with some initial velocity. Ah, Therefore, we can say that the initial velocity would be equal to the square root of two of negative two rather Time's a times Delta X and so we can say that for uphill lie, uh, the velocity initial could be equal to negative two times negative 1.8 meters per second squared multiplied by 6.0 meters. And then, uh, the upper initial velocity would be negative two times negative 1.8 meters per second squared multiplied by 8.0 meters so as to be within one meter of the whole. This is gonna equal 4.6 meters per second and this week with 5.4 meters per second, we have a difference of 0.8 meters per second now for they downhill lie. We have that the initial velocity. We're going to be using the exact same equation. There's gonna be a negative two times negative, 2.8 meters per second squared, most plied by again, 6.0 meters and then for the initial, the upper limit would be negative two times negative, 2.8 meters per second squared multiplied by again 8.0 meters. This is gonna equal 5.8 meters per second. This is equaling 6.7 meters per second and this range is going to be 0.9 meters per second. So, as you can see, the downhill lie range is greater than the uphill lie range. Which means that ah, we can say for the uphill live Ah, there is a smaller range of initial velocities. Therefore, more control is needed. So because that ranges smaller, you have ah, you have less of ah less forgiveness essentially in the initial velocity. Therefore, the up whole lie is going to be a bit more difficult than the downhill lie. That's the end of the solution. Thank you for watching

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