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At the top left, I've written the equation that Google Sheets gave me for the Angry Bird's motion. This is a best fit parabola that takes into account the errors in all data points, so it's the best description of what the bird was doing.
We took the derivative to get a velocity function. Note that this came out linear
We took the derivative again to get an acceleration function. Note that this came out constant, with the value -9.074. In other words, the bird had a constant acceleration of -9.074.
Tracking back, we see that -9.074 in the velocity equation. So that term must be acceleration. Since the constant term in this equation must be a velocity, it's the original velocity. So apparently the equation for velocity at any time is v=v0+at.
Tracking back further, we see that the -9.074 isn't in the position equation, but half of it is. Also, the original velocity is there too. This gives us the position equation y=(1/2)at^2 + v0t + y0.
These two equations can be used to describe the velocity and position not just of this bird, but of ANY objects with constant acceleration like that which gravity gives.
For the record, the accepted value of the acceleration of gravity is -9.8 m/s/s. There was some experimental error in my measurement.
Teach limit on an unlimited zoomable board. Fast and stable. Teaching math is fun with Ziteboard groupboard. ziteboard.com
Okay, she's not perfect, but she's cute. This little Hello Kitty is my cross sections calculus project.
PS: I've returned to Flickr :)
Differential calculus and Being Zero(0_)
Basically,
because very small zero( 0 ) is not Not-being(_0) but Being Zero(0_),
In the real world, very small zero( 0 ) is 0.0000000000000000000000000000000001,
though very small zero( 0 ) is not Not-being(_0) but Being Zero(0_),
we think and calculate that very small zero( 0 ) is Not-being(_0).
(Very small average velocity) is Velocity.
( Average of Very small average velocity) removes Being Zero(0_) from Calculus.
Logically, ( Average of Very small average velocity) is Velocity.
Liuhui Brahmagupta (2011.03.25)
Differential and Integral calculus
(1/3). Position, ( Velocity = Displacement / Time ), ( Speed = Distance / Time )
(2/3). Average Velocity, Change -> 0 : Instantaneous Velocity
(3/3). Average Instantaneous Velocity, Change -> 0 : Instantaneous Acceleration
(1/3). Position : Y = X^2
(2/3). Instantaneous Velocity : Y' = 2X^2-1 = 2X^1 = 2X
(3/3). Instantaneous Acceleration : Y'' = 2(1 * X^1-1) = 2(X^1-1) = 2(X^0) = 2(1) = 2
Instantaneous Acceleration ( Y'' = 2 ) -> (Integral calculus) -> Instantaneous Velocity (Y' = 2X )
Instantaneous Velocity (Y' = 2X ) -> (Integral calculus) -> Position ( Y = X^2 )
The Math & Science Institute (MSI) is an academically rigorous program designed for students with a keen interest in pursuing degrees in science, technology, engineering and math (STEM). The Institute consists of seven college-credit courses:
-- BioTechnology
-- Environment and Energy Technology
-- Physics
-- Anatomy & Physiology
-- Statistics
-- Calculus
Calculus Test today. Continues tomorrow. Biology Quiz Tomorrow. It's all about advanced placement, baby. Don't you love my homemade book covers? :P
Dr. Volkmar Hable was trained as a physicist and geoscientist and holds a Ph.D. in Geosciences and a B.S. in Agriculture and Agronomics. After graduation, however, he took a slightly different career path and entered the financial world. He is currently the CEO of #Samarium Group Holding Ltd. Samarium Group is an investment and development company that specializes in healthcare, energy, technology, logistic, science, engineering, resources, and medical industries, focusing on companies that are worth less than $5 billion. #VolkmarHable creates partnerships with investors and client companies and looks for organizations with high-growth opportunities in which to invest. He also manages portfolios for his clients, submits studies on the space, engineering, science, logistics and energy sectors, and interviews with management teams for the company. With offices in Medellin, Vienna, Vancouver, Singapore, Sydney, and Zürich the company’s typical ROI (return on investment) is 17 percent a year and it consistently delivers to its clients by offering preferred shares to selected investors. #VolkmarHable stands by the company’s philosophy, which states: To think against the grain and to swim against the current - that is the secret behind that which the alpha wolves and their packs dream of in vain: to win when everybody wins, and to win when the others lose too. The sources of success are upstream.
From 1997-2001, #VolkmarHable was the CEO for Adecco’s offices in Europe and Asia which employed 6,000 people. At Adecco, a Fortune 500 human resources company providing personnel services to businesses worldwide, #VolkmarHable gained valuable experience by heading the European operations and was instrumental in expanding the operations to the Romanian market. Prior to Adecco, Volkmar Hable worked in senior executive positions in the oil exploration industry and served with companies involved in tourism, geophysics, global engineering consulting and spent time with the diplomatic corps.
Volkmar Hable is a prolific author and has published two books on marketing and investment planning; he has also contributed to books on geophysics and calculus. He speaks English, Spanish, German, and French fluently, and he contributes to various research firms. In what little free time he has Volkmar Hable enjoys mountaineering and reading.
Staff Sgt. Christina Hipenbecker talks with students about Operation Toy Drop at the North Carolina School of Science and Math in Durham, NC on November 18, 2011. (U.S. Army photo by Staff Sgt. Felix R. Fimbres)
January 21st
I'm taking Calculus 2 right now and it's tough; trig integrals are the hardest math I've ever had to do.
#61/365
Me "Umm Suzuki I don't think you really need to sneak onto the flight. I can take you as carry-on."
Suzuki "Don't be silly Ed. Who's going to feel comfortable sitting next to a 19-year old college student with a 4-faced toy robot?"
Me "But you're not a 4-faced toy robot, you're my friend"
*hug*
Suzuki and I leave to Washington DC tonight, wish us a safe trip please. I've never been to the east coast before, and Suzuki is from the farrrr east so he's clueless.