the mathematics of

The Mathematics of

Evan [email protected]

http://www.arches.uga.edu/~eglazer/starwars.html

Everything I've ever learned, I've learned from Star Wars

Pay your debts on time, you can't always kill the bill collector.

No matter how deeply one falls into darkness, there is always hope for redemption.

Always let a Wookie win. "Try not. Do or do not. There is no try."

Everything I've ever learned, I've learned from Star Wars

There isn't always time to discuss things in a committee.

Never judge anything by its size. Beware of judging someone else's beliefs as just a

"hokey religion." You just may end up eating those words.

Always check the background of people you want to get intimately involved with, they may be your relatives.

The Mathematics of Star Wars

The Impact and Influence of Star Wars Mathematics in the four Star Wars movies

from arithmetic to precalculus A “preview” of the next Star Wars movie,

Episode II

“Star Wars does more forthe civilized development of the human race than any other piece of art in the world.

Star Wars has a profound effect on children in their evolution, their vision, in their imagination.”

Luke Skywalker

“…was my beacon of hopeduring a troubled adolescence.He taught me that I couldovercome adversity and create the meaningful, challenging life I yearned forif I persevered with courageand faith.”

Han Solo

“I have come to lean,through him, that inlife’s little games, itis best to remain relaxed and confident.”

“He has the right looks to make any woman wish they were Princess Leia.”

Princess Leia

“…if it weren’t for Leia,Xena would be unemployed, Janeway would be fetching coffeefor Captain Kirk in a micromini skirt, and Scully’s job would be waiting for Mulder to rescue her every week.”

Jabba the Hutt

“He’s lazy, sits around all day, hires people to do his dirty work, has all the entertainment he wants, and he’srich. Jabba is living the American dream.”

NOTE THAT JABBA DOES NOT SURVIVE!

Find the missingvalues in the table at the rightthat belong in each box.

Boba Fett

R2D2 is 94 cm tall. How tall is Chewbacca?

A. about 120 cmB. about 190 cmC. about 230 cmD. As tall as a Tyrannosaurus

SolutionWe can measure theheights of the characters with a ruler, and then set up a ratio to find the missing height.

Paper Actual24.8cm = c cm Chewie10.2 cm 94 cm R2D2

c= 228.5 cm

What is the approximate average speed of the Millennium Falcon during its escape from the second Death Star? The diameter of the second Death Star is 800 km and it took the ship 37 seconds to escape.

What is the approximate average speed of the Millennium Falcon during its escape from the second Death Star? The diameter of the second Death Star is 800 km and it took the ship 37 seconds to escape.

A. As fast as a speeding bulletB. As fast as a jet planeC. 40,000 km/hr D. 3 x 10^8 m/sec

Solution

The ship flies out ofthe center of thedeath star, travelinga distance of 400 kmin 37 seconds.

This means that the ship traveled at an average rate of

400 km * 60 sec * 60 min = 38,919 km 37 sec 1 min 1 hr hr

How high off the ground is the hangar bay? Assume that the acceleration due to gravity on Naboo is the same as Earth (-9.8 m/sec2).

How high off the ground is the hangar bay? Assume that the acceleration due to gravity on Naboo is the same as Earth (-9.8 m/sec2).

Approximately:

A. 100 mB. 1000 mC. 10,000 mD. As high asa class of 100students standing on each others’heads.

Solution

The shipdoes not have any initial velocity,vo, in the vertical direction when it gets hit. The equation h = ho + vot + -1/2gt2 can be used to predict the initial height (of the hangar), ho. Since vo = 0, the equation simplifies to h = ho + -1/2gt2

The ship takes t = 6 seconds to reach the ground where

h = 0. Substituting this information and g = -9.8 m/s2

into the equation, you will find that ho = 176.4 m, about 100 times the length of a student.

How manychairs are in the senate council?

A. About 2500B. About 1000C. About 250D. About 25

Solution

There are 11 chairs within 79 degrees of a circle.

Therefore, each circle has 360/79 * 11 = 50 chairs

There are 20 concentric circles, each with 50 chairs.

Total number of chairs:= 50 * 20 = 1000

Bonus:

What famousaliens occupya seat in the senate?

A. E.T.B. Close EncountersC. AliensD. Superman

Worldwide Top

Grossing Films

SHOW ME THE MONEY! An estimated 2 million people

skipped their work to watch opening day of Episode I, resulting in a $300 million loss in business that day.

Episode I merchandise sales exceeded over $2 billion.

Episode I promotional advertisement campaigns exceeded $2 billion.

In what yearwill Star Warsbe ranked 1stfor the highestgross, adjustedfor inflation?

A. Some time later this yearB. Around 2005C. Around 2036D. Never, unless it is released in the movie theaters again

Top Ten Reasons Why Star Wars is Better than Titanic

Star Wars has way cooler action figure potential.

Titanic’s big, but it didn’t have hyperdrive! Yoda could use the Force to lift the Titanic

out of the water.


Titanic is egalitarian by portraying poor people as sympathetic characters. Star Wars is egalitarian by promoting bug-eyed amphibians to admiral.

Said bug-eyed amphibious admiral manages NOT to lose his ship.

Han Solo would have missed the dang iceberg!


There are always enough escape pods in Star Wars

Leia is a princess, a senator, a freedom fighter, and Jedi material; Rose is just marriage bait.

Han is frozen in carbonite and turned into a wall ornament. Leo simply freezes.


Rose braves icy water to rescue her man. Leia braves Jabba the Hut.

We knew the boat was gonna sink. But who could’ve anticipated “Luke….I am your father.” ???

DARTH TRIVIA

When filming The EmpireStrikes Back, speculationabout a leak amongst castand crew centered on David Prowse [Darth Vader],who was not too pleased thatJames Earl Jones spoke hispart in Star Wars (Jones wasonly paid $7000 for the part).

Instead of “I am your father,” Prowse was given the lineObi-Wan Kenobi is your father.”

Breathing Patterns“Lightsaber”

Intensity

R2D2 is standing 6 meters vertically higher than and 8 meters horizontally away from Luke Skywalker. At what angle of elevation did R2D2 release the light saber in order to reach Luke Skywalker? Assume that the acceleration due to gravity on Tatooine is the same as on Earth (-9.8 m/sec2).

A. 30 degrees B. 70 degrees C. 85 degreesD. 375 degrees

Solution

Two parametric functions candescribe the motion of the lightsaber.

Y = ho + vo*sinw*t - 4.9t2

and X = vo*cosw*t

Where X = horizontal distance, Y = vertical distance,vo = initial velocity, w = angle of elevation, t = time, and ho = initial height

Substitute X = 8 m, t = 4.4 sec, ho = 6 m, and Y = 0 m into both of the equations.

0 = 20 + vosinw(4.4) - 4.9(4.4)2 and25 = vocosw(4.4)

Write each equation in terms of vosinw and vocosw in order to cancel vo.

vosinw/vocosw = 74.864/5.682 = tanw = 13.176w = tan-1(13.176) = 85.7 degrees

Suppose mitichlorian counts are approximately normally distributed among a population with a standard deviation of 3000 mitichlorians. Everyone in the population has some mitichlorians in their bodies, but just at different amounts.

If Anakin’s mitichlorian count of over 20,000 is “off the chart,” then what is a reasonable mean mitichlorian count in the population?

Suppose mitichlorian counts are approximately normally distributed among a population with a standard deviation of 3000 mitichlorians. Everyone in the population has some mitichlorians in their bodies, but just at different amounts.

If Anakin’s mitichlorian count of over 20,000 is “off the chart,” then what is a reasonable mean mitichlorian count in the population?

A. 0B. 5000C. 10000D. 15000

SolutionIn a normal distribution, 99% of the data are within three standard deviations from the mean. “Off the chart” probably implies that Anakin’s mitichloriancount is greater than three standard deviations from themean.

The mean must be less than20,000 - 3(3000) = 11,000but greater than 9,000, because everyone has at leastsome mitichlorians in their bodies -> 10,000.

If Yoda uses the transitive property, how should he conclude

his chain reasoning to Anakin if his message is: “Fear is the path to the dark side.”A. Do or do not, there is no try.B. Suffering leads to the dark side.C. Fear leads to dropping calculus.D. Anger leads to the dark side.

Solution:

Fear -> AngerAnger -> HateHate -> Suffering???? -> ????

Conclusion: Fear -> Dark side

Therefore, Suffering -> Dark sideis necessary to complete the chainreasoning.

In your classroom and with your students,

MAY THE FORCE BE WITH YOU!

The Mathematics of

Evan [email protected]

http://www.arches.uga.edu/~eglazer/starwars.html

the mathematics of

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