Ball Differential
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Ball Differential

Used Golf Balls Vs Recycled Used Golf Balls
A lot of golf players these days prefer using the used golf balls for practice. On the other hand some people prefer to buy recycled used golf balls. You must be thinking what differentiates the two from each other. Well, here is a look at the differences between the used golf balls and the recycled used golf balls.
Used golf balls are basically those particular golf balls which have been played with. In most of the cases these balls are the ones which are recovered from the depths of the lakes and ponds on the golf courses also known as the water hazards. The balls are retrieved by expert divers. Usually, the used golf balls are picked from inside the rivers through specially designed retrievers and rakes.
Most of the sellers who deal in used golf balls actually first clean the balls and then give a golf ball rating to each ball. If these ratings are not given to the balls there is no way to understand how much play the used golf balls have gone through.
This is why one has to be careful and not fall for the really expensive golf balls which are sold for ridiculously low prices. In case, a rating is not given to the balls, it is safe to assume that those particular balls are to be used in practice sessions.
For people who plan to buy some used golf balls for a serious game of golf, it is always better not go with the balls that have been awarded by a certain rating.
However, if the purpose is simply to play the normal rounds or to do some practice then the used golf balls are the way to go.
Recycled used golf balls basically used balls which are first repainted and then a logo is placed on it to make it look brand new. The good dealers usually make sure that the refurbished or recycled used golf balls come with a good dense core. They make sure that they do not take up balls which have been overplayed.
Sometimes, the recycled golf balls are devoid of any ratings because it is very hard to estimate the exact condition the core of the ball is in at a certain point of time. The balls not only look new but they are good to play with too. These balls are easily available for affordable prices.
About the Author
The author is an expert on used golf balls. Here he tells what differentiates them for recycled golf balls. For more visit the website, http://www.golfballsdirect.com
I have a differential equation question?
I am given
A ball weighing 1 lb is dropped from a height of 500 ft. Assume that the force due to
air resistance is proportional to the 5/3 power of the velocity of the ball so that the dierential
equation for the velocity is
mv0 = mg - k * v^5/3
with k = 0:1.
How many seconds will it take for the ball to hit the ground and what is its
velocity when it hits the ground? Plot the velocity and distance functions.
I assume you're expected to use Euler or RK4 because a closed form solution would be very difficult. Using Euler with g = 32.174 ft/s, m = 1 lb, k = 0.1 and h = 0.4 (h is the step size):
t ......... v .......... v' .......... x
0.00 .... 0.00 .... 32.17 .... 500.00 .......... initial conditions, v[0]=0 and x[0]=500
0.04 .... 1.29 .... 32.02 .... 499.95
0.08 .... 2.57 .... 31.69 .... 499.85
0.12 .... 3.84 .... 31.23 .... 499.69
0.16 .... 5.08 .... 30.67 .... 499.49
0.20 .... 6.31 .... 30.02 .... 499.24
0.24 .... 7.51 .... 29.29 .... 498.94
1.00 .... 23.66 ...12.68 .... 485.94
2.00 .... 30.37 .. 2.61 ...... 457.95
3.00 .... 31.67 .. 0.47 ...... 426.73
4.00 .... 31.90 .. 0.08 ...... 394.91
5.00 .... 31.94 .. 0.01 ...... 362.98
6.00 .... 31.95 .. 0.00 ...... 331.03
7.00 .... 31.95 .. 0.00 ...... 299.08
8.00 .... 31.95 .. 0.00 ...... 267.13
9.00 .... 31.95 .. 0.00 ...... 235.17
10.00 .. 31.95 .. 0.00 ...... 203.22
11.00 .. 31.95 .. 0.00 ...... 171.27
12.00 .. 31.95 .. 0.00 ...... 139.32
14.00 .. 31.95 .. 0.00 ...... 75.41
16.36 .. 31.95 ...0.00 ...... 0.01
Above is just a representative sample - I didn't print out all 409 steps.
With such a high resistance [F = 1/10 v^(5/3)], the ball
reaches terminal velocity almost immediately.
Thus, a quick estimate would be t = 500/31.9 = 15.6 s.
Answer: It hits the ground at approx. 16.4 sec with a velocity of 31.95 ft/s.
RC kit building tips: Ball diff balls
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