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OT: What simple rule of math am I missing here?
Comments
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JohnInCarolina said:.I understand the confusion now. You're focusing on the use of average speed. I was just using the OP's notion - meaning that (4+6)/2 = 5, even though that doesn't necessarily turn out to be the average velocity you'll have over the interval.
If you solve my system, it will give you the right distances to walk at a velocity of 4mph and 6mph, such that you walk a total of five miles in one hour. The OP had asked why, if he alternates quarter miles (in other words, equal distances), it ends up taking longer. All I did was to demonstrate why that's the case.
https://youtu.be/KQxhOYqLPdY
Large BGE in Moore, OK -
Wait, 3-2 is the same as 6-4! That don't make no sense.Sandy Springs & Dawsonville Ga
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I'm nursing a damn sore throat, sinus infection and pinkeye from the damn mountain fires this past week and YOU make me laugh uncontrollably for six minutes! Send me your address, for hospital bill tomorrow.bgebrent said:I started out as a math major. It became clear to me very early on that a chemistry major would get hotter chicks.
“I'll have what she's having."
-Rob Reiner's mother!
Ogden, UT, USA
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Brother botch, I'm sorry you're under the weather my brother. Glad you got a laugh my friend. Can't remember my address...Botch said:
I'm nursing a damn sore throat, sinus infection and pinkeye from the damn mountain fires this past week and YOU make me laugh uncontrollably for six minutes! Send me your address, for hospital bill tomorrow.bgebrent said:I started out as a math major. It became clear to me very early on that a chemistry major would get hotter chicks.
Sandy Springs & Dawsonville Ga -
Pinkeye from a fire? That's newBotch said:
I'm nursing a damn sore throat, sinus infection and pinkeye from the damn mountain fires this past week and YOU make me laugh uncontrollably for six minutes! Send me your address, for hospital bill tomorrow.bgebrent said:I started out as a math major. It became clear to me very early on that a chemistry major would get hotter chicks.
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Pinkeye for the fire guy."I've made a note never to piss you two off." - Stike
"The truth is, these are not very bright guys, and things got out of hand." - Deep Throat -
That's what I was thinking. It's real close, but I feel ya, not quite as fun.JohnInCarolina said:The solution is pretty simple by the way. Instead of trading speeds every quarter mile, you trade them in a ratio of 3 to 2 (or 6 to 4). So you walk the first two at 4mph, then you walk the next three at 6mph. Then the next two at 4mph, and so on.
You end up covering a total of 3 miles at a speed of 6mph and 2 at a speed of 4mph. You can certainly figure this out without any of the algebra I used. But that's not quite as fun.THANK YOU FOR YOUR ATTENTION TO THIS MATTER -
Never belittle pinkeye. It sucks. Like BACAJohnInCarolina said:Pinkeye for the fire guy.Sandy Springs & Dawsonville Ga -
FTFYbgebrent said:
Never belittle pinkeye. It's sh!tty. Like BACAJohnInCarolina said:Pinkeye for the fire guy. -
Thanks Michael.DoubleEgger said:
FTFYbgebrent said:
Never belittle pinkeye. It's sh!tty. Like BACAJohnInCarolina said:Pinkeye for the fire guy.Sandy Springs & Dawsonville Ga -
I agree - not much fun to have at all.bgebrent said:
Never belittle pinkeye. It sucks. Like BACAJohnInCarolina said:Pinkeye for the fire guy."I've made a note never to piss you two off." - Stike
"The truth is, these are not very bright guys, and things got out of hand." - Deep Throat -
AgreedJohnInCarolina said:
I agree - not much fun to have at all.bgebrent said:
Never belittle pinkeye. It sucks. Like BACAJohnInCarolina said:Pinkeye for the fire guy.Sandy Springs & Dawsonville Ga -
I thought you would concur, Doctor Brent.bgebrent said:
AgreedJohnInCarolina said:
I agree - not much fun to have at all.bgebrent said:
Never belittle pinkeye. It sucks. Like BACAJohnInCarolina said:Pinkeye for the fire guy."I've made a note never to piss you two off." - Stike
"The truth is, these are not very bright guys, and things got out of hand." - Deep Throat -
When I was 4 years old I was half my sisters age...I am 54 now, how old is my sisterVisalia, Ca @lkapigian
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John's she.lkapigian said:When I was 4 years old I was half my sisters age...I am 54 now, how old is my sisterSandy Springs & Dawsonville Ga -
Someone needs to account for the rate of change of velocity as you accelerate from 4-6 and from 6-4 mph.Coleman, Texas
Large BGE & Mini Max for the wok. A few old camp Dutch ovens and a wood fired oven. LSG 24” cabinet offset smoker. There are a few paella pans and a Patagonia cross in the barn. A curing chamber for bacterial transformation of meats...
"Bourbon slushies. Sure you can cook on the BGE without them, but why would you?"
YukonRon -
Near instantaneous. A jerk, just like @JohnInCarolina (see what I did there?!)SciAggie said:Someone needs to account for the rate of change of velocity as you accelerate from 4-6 and from 6-4 mph.Large BGE in Moore, OK -
I assumed Heaviside functions in time, which gives rise to infinite accelerations and decelerations in theory. That might be an issue in practice.SciAggie said:Someone needs to account for the rate of change of velocity as you accelerate from 4-6 and from 6-4 mph."I've made a note never to piss you two off." - Stike
"The truth is, these are not very bright guys, and things got out of hand." - Deep Throat -
She's still 4 years older than you, I hope.lkapigian said:When I was 4 years old I was half my sisters age...I am 54 now, how old is my sister"I've made a note never to piss you two off." - Stike
"The truth is, these are not very bright guys, and things got out of hand." - Deep Throat -
I pooped today=======================================
XL 6/06, Mini 6/12, L 10/12, Mini #2 12/14 MiniMax 3/16 Large #2 11/20 Legacy from my FIL - RIP PitBoss Navigator 850G 11/25
Tampa Bay, FL
EIB 6 Oct 95 -
The jerk is a cool unit...maso said:Near instantaneous. A jerk, just like @JohnInCarolina (see what I did there?!)Coleman, Texas
Large BGE & Mini Max for the wok. A few old camp Dutch ovens and a wood fired oven. LSG 24” cabinet offset smoker. There are a few paella pans and a Patagonia cross in the barn. A curing chamber for bacterial transformation of meats...
"Bourbon slushies. Sure you can cook on the BGE without them, but why would you?"
YukonRon -
I was going 70 miles an hour and got stopped by a cop who said, "Do you know the speed limit is 55 miles per hour?" "Yes, officer, but I wasn't going to be out that long..."
Stephen Wright. Same problem as the original post...+++++++++++++++++++++++++++Austin, Texas. I'm the guy holding a beer. -
Oh no issues here. Just poking fun and making a physics joke. Derivative of acceleration is a jerk or jolt if you prefer.SciAggie said:
The jerk is a cool unit...maso said:Near instantaneous. A jerk, just like @JohnInCarolina (see what I did there?!)
Best jokes are the ones you have to explain. I'm disappointed in myself.Large BGE in Moore, OK -
maso said:
Oh no issues here. Just poking fun and making a physics joke. Derivative of acceleration is a jerk or jolt if you prefer.SciAggie said:
The jerk is a cool unit...maso said:Near instantaneous. A jerk, just like @JohnInCarolina (see what I did there?!)
Best jokes are the ones you have to explain. I'm disappointed in myself.
I got it.....for what it's worth.
"Social media gives legions of idiots the right to speak when they once only spoke at a bar after a glass of wine, without harming the community [...] but now they have the same right to speak as a Nobel Prize winner. It's the invasion of the idiots."
-Umberto Eco
2 Large
Peachtree Corners, GA -
pretty sure the obvious solution to this problem is putting a beer holder on the tread mill and a cooler beside it
fukahwee maineyou can lead a fish to water but you can not make him drink it -
Hopefully we won't need to deal with the Coriolis effect
Kirkland, TN2 LBGE, 1 MM -
At those speeds a Doppler effect shouldn't come into play either.
XXL BGE, Karebecue, Klose BYC, Chargiller Akorn Kamado, Weber Smokey Mountain, Grand Turbo gasser, Weber Smoky Joe, and the wheelbarrow that my grandfather used to cook steaks from his cattle
San Antonio, TX
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The_Stache said:Hopefully we won't need to deal with the Coriolis effect
we wont. The earth is flat.XL & MM BGE, 36" Blackstone - Newport News, VA
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