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Spaceman3750
OK, I have a quizish thingy for you guys tongue.gif.

A Cessna 150 loses it's engine at 2,000ft AGL. Assuming there are no winds that would adversely effect flight, and the pilot holds a straight line, how many feet will the aircraft travel before it hits the ground?

Show work and answer in a spoiler.

100KP to the first person to get it right.
Herloss
I shall need it's weight, the speed at which it is moving, whether or not we are considering wind resistance, and what level of presicion you are using for accelleration due to gravity.
Spaceman3750
If I have figured it correctly, all that should be unnecessary... You will need to look up some of the Cessna 150 specs though... Or maybe I'm wrong laugh.gif.

Assume it's a perfect universe.
Herloss
screw that. I have my own physics homework to do, I'm not looking anything up.
Spaceman3750
LOL, fine, i'll tell you. The Cessna 150 has a glide ratio of 7:1.

Now, knowing what to do with that is the key wink.gif.

EDIT: PS, this isn't my Physics homework laugh.gif.
Herloss
well then, that's easy (if the glide ratio is what I think it is)

» Click to show Spoiler - click again to hide... «
thisoldmage
» Click to show Spoiler - click again to hide... «
Herloss
QUOTE(thisoldmage @ Apr 25 2006, 06:35 PM)
» Click to show Spoiler - click again to hide... «

*


» Click to show Spoiler - click again to hide... «
Mynck
Wouldn't that change depending on the speed it's moving at in the beginning? A plane traveling at flight speed, for example, wouldn't lose any altitude.
Herloss
But it loses speed when the engines are no longer propelling it, and it goes into a glide, although if it were in a "perfect universe" as spacey put it, and we werent considering wind resistance, it wouldnt lose said speed.

The problem should probobly be reworded in a way to address problems such as these.
Spaceman3750
Anyway, HL thought right, and wins. I will send you the 100KP in a little while.

A glide ratio is the feet traveled per foot of altitude lost. In this example, a Cessna 150 has a glide ratio of 7:1, making it glide 14,000 feet, or just under three miles, before it will hit the ground.
Herloss
keep the points and put them into another contest. God knows I dont need them.
Spaceman3750
LOL, OK tongue.gif. Not a two word post...
Korps Commander
You really should be warned for that.

Anyways, shouldn't the Cessna keep going forever?

EDIT: Wait, nvm, appparently mage already asked that.
lappy512
I was just going to say myscrnnm would be coming to me ranting about that post, how spaceman should be warned, but someone already did that for me tongue.gif

I really need to look up how a glide ratio works, since it seems that if the cesenna is moving at 0 mph horizontally, then it won't glide 7:1
Herloss
QUOTE(lappy512 @ Apr 26 2006, 01:03 AM)
I really need to look up how a glide ratio works, since it seems that if the cesenna is moving at 0 mph horizontally, then it won't glide 7:1
*


No, it wont, but this is at cruise speed. The plane is flying along when it loses the use of it's engines and goes into a glide.

Actually, if it were moving at 0mph, it would be accellerating straight towards the earth. lol
Spaceman3750
Glide ratios are usually only important in gliders, but in the case of an engine failure, it helps to know the glide ratio of your aircraft laugh.gif.
thisoldmage
QUOTE(HerLoss @ Apr 25 2006, 03:40 PM)
» Click to show Spoiler - click again to hide... «

*


Oh, just thought he might have been joking, BTW nice plane. [/sarcasm]

And, yeah, this thing has a MASSIVE margin of error, the question doesn't provide clear details, but I guess with the given information HL would be right.
Herloss
QUOTE(thisoldmage @ Apr 26 2006, 06:23 PM)
Oh, just thought he might have been joking, BTW nice plane. [/sarcasm]

And, yeah, this thing has a MASSIVE margin of error, the question doesn't provide clear details, but I guess with the given information HL would be right.
*


There is very little margin of error. If there are no cross, tail, or head winds, up or down drafts to alter the plane's flight path, it will glide to the ground at the approxamate ratio given. spacey DID say to consider it a perfect environment.
thisoldmage
QUOTE(HerLoss @ Apr 26 2006, 04:54 PM)
There is very little margin of error. If there are no cross, tail, or head winds, up or down drafts to alter the plane's flight path, it will glide to the ground at the approxamate ratio given. spacey DID say to consider it a perfect environment.
*


NVM, didn't notice that, I wish I lived in Spacemans perfect world... Wait? What would the air be made out of? Pure Oxegen? Nothing? Perfection?
Mynck
Well, that would depend on what we would consider perfect. Perfect entrophy? Perfect order? If it were perfect entrophy, it'd probably be pure hydrogen, pure quark matter, or something else, and there'd be no net gravity. If it were perfect order... I have no idea. If it were perfect nothing, there'd be nothing.


Anyways, let's have another math thingy:

1. Write an equation that gives the following chart:
x1234567etc
y7777777777777777777777777777etc


2. Prove that none of the polynomials in the following series can be factored:
x + 1
x2 + x + 1
x3 + x2 + x + 1
x4 + x3 + x2 + x + 1
etc.


Prize of 500kp per problem! Plus a Fun-in-a-Bun item!
Herloss
QUOTE(Mynck @ Apr 26 2006, 09:44 PM)
Well, that would depend on what we would consider perfect. Perfect entrophy? Perfect order? If it were perfect entrophy, it'd probably be pure hydrogen, pure quark matter, or something else, and there'd be no net gravity. If it were perfect order... I have no idea. If it were perfect nothing, there'd be nothing.
Anyways, let's have another math thingy:

1. Write an equation that gives the following chart:


x123456etc
y777777777777777777777etc

ok, here's my attempt at showing it in summation notation, although I havnt a clue how to properly do it in text here, so bear with me.

(ignore the *'s above and below "y = ...", using them as spacers so it displays correctly.
**** x
y = sigma(7*10^(i-1))
**** i=1

in words, incase that didnt make any sense:
y equals the sum of (7*10^(1-1)), (7*10^(2-1)), ... , (7*10^(x-1))
Mynck
Um, I meant without using summations. Basic algebra stuff.


-----Edit-----

Okay, here's an easy way to put it:
You should not have to use any characters that aren't on your keyboard.
Herloss
QUOTE(Mynck @ Apr 26 2006, 10:09 PM)
Um, I meant without using summations. Basic algebra stuff.
*


dang... well I'd love to see someone do it with just algebra.
Mynck
I did it... took me 2 or 3 hours, but I did it. Also see edit.
Herloss
QUOTE(Mynck @ Apr 26 2006, 10:14 PM)
I did it... took me 2 or 3 hours, but I did it. Also see edit.
*


wow... screw that!
Spaceman3750
LOL, I'll ask my Algebra teacher, he'll know laugh.gif.

As for the second one, well, you cannot factor it because to factor it, you would have to factor 1, which isn't possible.
Herloss
QUOTE(Spaceman3750 @ Apr 27 2006, 03:57 PM)
LOL, I'll ask my Algebra teacher, he'll know laugh.gif.

As for the second one, well, you cannot factor it because to factor it, you would have to factor 1, which isn't possible.
*


actually, because 1 squared is one, 1 cubed is 1, etc. you can.

Heh, I just almost tried to say that you could factor x+1 as (rootx + 1)(rootx - 1), but then I realized that it would come out to x-1. lol, I'm done showing my stupidity now.
Spaceman3750
» Click to show Spoiler - click again to hide... «


Meh, I'm sure that there's some big mathematical definition of why you can't.
Herloss
What I meant was that 1 can be factored. Just a nitpick, I didnt mean to start a lengthy argument about it.

There might be, but I'm just too lazy to look stupid stuff like that up. As far as I know, there isnt any theorem that states when an expression can no longer be factored. There is just a point at which it cant, and there isnt anything else to it.
Spaceman3750
No, not that, I mean as to why you can't factor that particular polynomial wink.gif.
thisoldmage
QUOTE(HerLoss @ Apr 27 2006, 01:02 PM)
actually, because 1 squared is one, 1 cubed is 1, etc. you can.

Heh, I just almost tried to say that you could factor x+1 as (rootx + 1)(rootx - 1), but then I realized that it would come out to x-1. lol, I'm done showing my stupidity now.
*


Its (rootx+i)(rootx-i)
Herloss
QUOTE(thisoldmage @ Apr 27 2006, 07:30 PM)
Its (rootx+i)(rootx-i)
*


no **** sherlock.
thisoldmage
QUOTE(HerLoss @ Apr 27 2006, 04:48 PM)
no **** sherlock.
*


Just, saying.
BTW myscrnnm says "no **** sherlock" way to much, so you sound like him,
Herloss
QUOTE(thisoldmage @ Apr 27 2006, 10:56 PM)
Just, saying.
BTW myscrnnm says "no **** sherlock" way to much, so you sound like him,
*


Well dont.

I dont recall him ever saying that. If he was doing it in my absence he kifed it from me, so I sound like him sounding like me.
Mynck
You can just say that x+1 can't be factored. The hard part is proving that not a single polynomial in the whole series can be factored.
lappy512
All of them have 1 for the coefficients, therefore they can't be factored any further.
Mynck
That's not exactly a proof.
Spaceman3750
So I got it right to an extent?
Mynck
http://en.wikipedia.org/wiki/Mathematical_proof

I want this as a two-column proof. Steps to the proof in one column, and justifications in the other column.
þäßâÝà
QUOTE(Mynck @ Apr 28 2006, 03:58 PM)
http://en.wikipedia.org/wiki/Mathematical_proof

I want this as a two-column proof. Steps to the proof in one column, and justifications in the other column.
*


This topic is dead....

Now Tell Me.

What are the sexy prime quintuplets? (if any)
Mynck
http://www.ltkz.demon.co.uk/kt05.txt
tongue.gif
þäßâÝà
QUOTE(Mynck @ Aug 30 2006, 11:25 AM)

I Said SEXY Prime Quintuplets.

Clue: The Name comes frome the Latin word Sex....
Mynck
Fine. Here are your "sexy numbers."

2^256 + 270403961815 + 0, 2, 6, 8, 12

Assuming that you meant "sexy" as a cardinal.
þäßâÝà
I have sent Mynck the answer in a message, The rest of you, get to work!
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