Archive for the ‘Simultaneous Equations’ Category

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5. You can jump out of an airplane that is about to crash and catch the baddie who took the last parachute.

May 24, 2023

 The names Bond, James Bond. In Moonraker  with Roger Moore (1979) 007 jumps out of a plane without a parachute to avoid an assassination attempt. He catches up with, Jaws, arch-baddie, in mid-air and takes his parachute. Jaws survives his fall by landing on a big top circus tent.

In Point Break with FBI agent Johnny Utah, Keanu Reeves, leaps from a skydiving plane after Patrick Swayzes’ characer, Bohdi, who has taken the last parachute. Utah catches Bohdi in mid-air, and after a tense confrontation with a gun, both survive using Bodhi’s chute. The remake was in 2015.

There are more movie and real life stories at the  Free Fall Maths link.

Note: We’ll assume Bhodi and Utah have equal horizontal velocities (plane exit velocity plus wind) so the following calculations only involve the vertical or falling velocity. The terminal velocities used for Bhodi and Utah are realistic estimates. 

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10. You can out run a lava flow … METRIC

May 1, 2023

This is a rework of a previous post with full calcs.

Every volcano disaster movie from Volcano (1997) with Tommy Lee Jones to Dante’s Peak (1997) withDantes_peak_ver2Pierce Brosnan someone somewhere tries to out run a lava flow. Is this possible?

The answer is maybe. You will find everything you want to know about lava flows here.Volcano_ver2

On January 10,1977, at Nyiragongo lava sprang from the sides of the volcano moving at speeds up to 40 miles per hour (60 km/hr). About 70 people were killed.

lava temp Measuring the temperature of lava. Photograph by R.L. Christiansen, U.S. Geological Survey, January 9, 1973.
The fastest Lava flows recorded were in Hawaiiin 1950 when Mauna Loa erupted. The lava traveled at 10 kilometers per hour through thick forest. But once the lava flows became established and good channels developed, the lava in the channels was flowing at up to 97 kph.

Speed of average sprinter = 16 – 24 kph

 

Can you out run a lava flow?

You would be scorched after 3 minutes!!!! 

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10. You can out run a lava flow … USA UNITS

May 1, 2023

This is a rework of a previous post with full calcs.

Dantes_peak_ver2Every volcano disaster movie from Volcano (1997) with Tommy Lee Jones to Dante’s Peak (1997) with Pierce Brosnan someone somewhere tries to out run a lava flow. Is this possible?

The answer is maybe. You will find everything you want to know about lava flows here.Volcano_ver2

On January 10,1977, at Nyiragongo lava sprang from the sides of the volcano moving at speeds up to 40 miles per hour. About 70 people were killed.

 

lava temp Measuring the temperature of lava. Photograph by R.L. Christiansen, U.S. Geological Survey, January 9, 1973.

The fastest Lava flows recorded were in Hawaiiin 1950 when Mauna Loa erupted. The lava traveled at 6 miles per hour through thick forest. But once the lava flows became established and good channels developed, the lava in the channels was flowing at up to 60 mph.

Speed of average sprinter = 10 – 15 mph

Can you out run a lava flow?

 You would be scorched in 33 seconds!!!

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MATH JOKE 5: FUNNY FUNNY MATH BLOGS

February 11, 2019

Mathspig Funny maths blogs

You will find the background pattern here.

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1 Header

The absolute delight of Spurious Correlations is its craziness. Tyler Vigen is studying law at Harvard Law School, but he puts together the most ridiculous data you can imagine to show the correlation between eg. Per capita cheese consumption AND the number of people who died by getting tangled in their bed sheets, people who drowned after falling out of a fishing boat AND the marriage ration Kentucky. Of course, what Tyler is demonstrating is the basic maths principle, mathspiggies, that correlation is not causation. Here is one of his fabulous graphs:

 1a Spurious Correlations Graph

Here is one graph from Spurious Correlati0ns (above) and the cover of Tyler’s New Book (below).

1b book cover

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 2. HeaderMath with Bad Drawings is run by Ben Orlin. He describes himself as ‘a math maths teacher in Birmingham, England. Before that, I taught in Oakland, California. I’ve taught (or am currently teaching!) every level of mathematics from ages 12 to 18.’

Not only is Ben’s humorous and fascinating take on maths interesting, his philosophy of life is worth a read too. e.g. We are all simultaneously experts and beginners, flaunting our talents while trying to cover our shortcomings the way an animal hides a wound.’

Here are two delightful examples of his maths with bad drawings:

2a. Maths with bad drawings2b. Maths with bad drawings

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3. Header

Mathspig has written about the fabulous What if? blog before.

Randall Munroe is a pro web cartoonist, maths nut and maths guru who answers crazy hypothetical questions using maths. His home website is xkcd.

His TED lecture is here.

Randall offers this warning to his KXCD blog: this comic occasionally contains strong language (which may be unsuitable for children), unusual humor (which may be unsuitable for adults), and advanced mathematics (which may be unsuitable for liberal-arts majors). Of course, this makes his blog even more interesting. Maths, profanity and silly humour. Bring it on.

How What if? blog asks and answers interesting questions:

What would happen if I dug straight down, at a speed of 1 foot per second? What would kill me first?

Could a bird deliver a standard 20″ New York-style cheese pizza in a box? And if so, what kind of bird would it take?

Here is one example:

3a What if ?

 3b What if?

And his book What if? Can be found here.

 3c What if? book cover

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4. Header

The joy of Yan’s One Minute Math blog is his eclectic collection of topics from . Kow-Cheong Yan is a Singapore-based teacher, math consultant, math blogger and maths book author (Grade 1- 6).

4a

The Lighter Side of Innumeracy gives an insight into maths incompetence and superstition in Singapore. It shows that charlatans can still prey on the innumerate. And Yan’s critique of Drill-and-Kill texts promoted in Singapore is refreshing in an age where politicians are forever calling for Back-to-basics teaching methods for maths.

4b

 But my favourite post on Yan’s blog is;

Mathematical Fiction is not optional. The number of novels using maths as a theme is inspiring especially with Yan adding a comment like this:

If you’re looking for math, women, sex, and back-stabbing, The Wild Numbers (Philibert Schogt) is a math melodrama unlikely to disappoint.

4c

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5. header mathjokes4mathyfolks

Mathjokes4mathyfolks is run by my good math(s) friend Patrick Vennebush, who lives in Virginia with his wife, twin boys and his Golden Retriever Remy. He loves math(s), laughing and telling jokes. He also runs online projects for National Council of Teachers of Mathematics.

5a. Patrick

Patrick believes math(s) should be fun and his blog includes jokes, problems and real-life challenges. His collection of jokes is published in a book and cover the gamete from cool to Dad-style jokes. Here’s an example:

5b book cover5c joke

Here are some examples from his blog:

Simultaneous Equations and Pizza

5d pizza problem

Angle of Opportunity looks at the angle a boy should pee in the toilet bowl without splatter fallout!!!!

5d pee angle

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6 header mathfail

Here is Math Fail on Facebook. And here is the Math Fail blog run by Self proclaimed Math Geek Mike, who explains that in addition to math fails, you will find a huge collection of geeky math jokes, interesting math facts, dumb math news, puzzles, speed math advice, math related comics, funny math pictures and more!! (It is not a Cheeseburger Fail blog.)

It is just a fun blog to explore. Here are some examples.

6a Math Fail

6b Math Fail

6c Math FAil

6d Math Fail

Who can be offended? They’re just numbers!!!!

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Debbie O’Sullivan’s pinterest stream Math Puns/Jokes is worth a visit or two.

7b

7c

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8. header math cartoon

The Math Cartoons & Humor is pinterest run by Jiji the penguin. Actually, the penguin didn’t do it. Jiji the penguin is the mascot of STMath, a commercial education system that teaches math visually, and with minimum language, in the USA. Here are some examples of the humor: 8a

8b

8c

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9. header mathmashup

Mashup Math is mind blowing from its math philosophy to its eclectic approach. Anthony Persico runs MashUp Math. He has taught in NY, VA, and CO and runs a YouTube channel. He believes in inclusive math education,that all students learn math differently and that the one-size-fits-all approach is ineffective. The worksheets, teacher resources supplied via mathmashup are FREE!

9a Anthony pic

Here is the Facebook link to Mathmashup:

9b slope

This is a screen shot of  his roller coaster youtube clip on gradient or slope!!!

Here is his Mathsmashup You Tube channel (above), which is designed to help visual learners.

9c

Here are some amazing sports stats (above) from the LA Times. Basketball Legend Kobe Bryant’s 30,699th and final field goal came from 19 feet with 31 seconds left against the Utah Jazz. This picture below shows every one of the 30,699 goals he scored. AMAAAAAAZING!

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10 header math antics

Math Antics Youtube Channel is run by, Rob and Jeremy, who are both funny and clear in their maths clips, which are directed mainly at Middle school. The youtube lessons are free, but Rob and Jeremy do charge teachers US$20 for a year of worksheets.

Their Math Antics website is here.

10a base 10

Base 10 video screen grab.

10b Order of Operation

Order of Operations Screen grab.

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5. You can jump out of an airplane that is about to crash and catch the baddie who took the last parachute.

January 10, 2019

 The names Bond, James Bond. In Moonraker  with Roger Moore (1979) 007 jumps out of a plane without a parachute to avoid an assassination attempt. He catches up with, Jaws, arch-baddie, in mid-air and takes his parachute. Jaws survives his fall by landing on a big top circus tent.

In Point Break with FBI agent Johnny Utah, Keanu Reeves, leaps from a skydiving plane after Patrick Swayzes’ characer, Bohdi, who has taken the last parachute. Utah catches Bohdi in mid-air, and after a tense confrontation with a gun, both survive using Bodhi’s chute. The remake was in 2015.

There are more movie and real life stories at the  Free Fall Maths link.

Note: We’ll assume Bhodi and Utah have equal horizontal velocities (plane exit velocity plus wind) so the following calculations only involve the vertical or falling velocity. The terminal velocities used for Bhodi and Utah are realistic estimates. 

h1

10. You can out run a lava flow … USA UNITS

November 17, 2018

This is a rework of a previous post with full calcs.

Dantes_peak_ver2Every volcano disaster movie from Volcano (1997) with Tommy Lee Jones to Dante’s Peak (1997) with Pierce Brosnan someone somewhere tries to out run a lava flow. Is this possible?

The answer is maybe. You will find everything you want to know about lava flows here.Volcano_ver2

On January 10,1977, at Nyiragongo lava sprang from the sides of the volcano moving at speeds up to 40 miles per hour. About 70 people were killed.

 

lava temp Measuring the temperature of lava. Photograph by R.L. Christiansen, U.S. Geological Survey, January 9, 1973.

The fastest Lava flows recorded were in Hawaiiin 1950 when Mauna Loa erupted. The lava traveled at 6 miles per hour through thick forest. But once the lava flows became established and good channels developed, the lava in the channels was flowing at up to 60 mph.

Speed of average sprinter = 10 – 15 mph

Can you out run a lava flow?

 You would be scorched in 33 seconds!!!

h1

10. You can out run a lava flow … METRIC

November 17, 2018

This is a rework of a previous post with full calcs.

Every volcano disaster movie from Volcano (1997) with Tommy Lee Jones to Dante’s Peak (1997) withDantes_peak_ver2Pierce Brosnan someone somewhere tries to out run a lava flow. Is this possible?

The answer is maybe. You will find everything you want to know about lava flows here.Volcano_ver2

On January 10,1977, at Nyiragongo lava sprang from the sides of the volcano moving at speeds up to 40 miles per hour (60 km/hr). About 70 people were killed.

lava temp Measuring the temperature of lava. Photograph by R.L. Christiansen, U.S. Geological Survey, January 9, 1973.
The fastest Lava flows recorded were in Hawaiiin 1950 when Mauna Loa erupted. The lava traveled at 10 kilometers per hour through thick forest. But once the lava flows became established and good channels developed, the lava in the channels was flowing at up to 97 kph.

Speed of average sprinter = 16 – 24 kph

 

Can you out run a lava flow?

You would be scorched after 3 minutes!!!! 

h1

Maths News: Volcano Survivor 2

May 8, 2018

Kilauea erupts in Hawaii MAY 2018.

The amazing maths of volcano eruptions.

Once lava flows are established new RIVERLETS can run on top of the original lava flow at great speed.
Puu-Oo-USGS lava riverlets

The fastest Lava flows recorded were in Hawaii in 1950 when Mauna Loa erupted. The lava traveled at 6 miles (10 kilometers) per hour through thick forest. But once the lava flows became established and good channels developed, the lava in the channels was flowing at up to 60 miles/hour (97 kph)

Can you out run a lava flow?

You are 2 km from the volcano rim and start running.

VL =   97 kph = 1.6 km per minute (k/min)

     =   60 mph

VH = 18 kph = 0.3 km/min

   = 11.2 mph (miles per hr )

GRAPH:

How long will it take for the lava to catch you?

Mauna Loa Volcano Lava Flow 1950 2

 

SIMULTANEOUS EQNS:

How long will it take for the lava to catch you?

Mathspig simultaneous Eqn 2

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Maths News: Volcano Survivor 3

May 7, 2018

Kilauea erupts in Hawaii MAY 2018.

The amazing maths of volcano eruptions.

One of the greatest dangers in a volcano eruption is not the lava flow OR being hit by a lump of flying lava or rock, but by being choked by the fast moving scorching hot pyroclastic cloud.

Mt Unzen volcano-world

In 1991 pyroclastic cloud blew out of the side of Mount Unzen in Japan. NASA has an excellent diagrams for such an event here.

According to the NASA website:

Highly mobile, these flows reach velocities of up to 400 kilometers (250 miles) per hour and can spread as far as 100 kilometers (60 miles) from the eruption point.

Can you out run a pyroclastic cloud?

Mathspig simultaneous eqn 3

Here is what happened in 1991 when the pyroclastic cloud blew out of the side of Mount Unzen in Japan.

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The Terrifying Maths of Running from a Bear … Metric Units

July 17, 2017

METRIC UNITS below. USA UNITS here.

BEAR STATISTICS

Grizzly Bear

Weight:   250kg

Height:   250cm

Top Speed: 56kph  =   16 m/sec

More bear stats here. 

Brown Bear

Weight:  680kg

Height:   250cm

Top Speed: 35kph  = 10m/s

More bear stats here.

Comparing these speeds to the fastest man on earth, Usain Bolt:

Usain Bolt:

Top speed: 243kph =   12m/s

So Usain Bolt could out run a Brown Bear but NOT a Grizzly!

Bears are NOT as dangerous as:

In fact more Americans die choking on their own vomit each year than a re killed by bears.

More death stats here.

But bears are very fast so Park Rangers recommend the following survival tactics:

More bear survival info here.

REF: Dog helps save hikers after grizzly chases them for 20 minutes here.