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101 uses of a quadratic equation Chris Budd
Is the quadratic equation evil? And does anyone care?
Babylonians Counted in Base 60
x x x x Area Area
Quadratic equation Solutions
X = … A4 Paper
Conic sections Cone Appolonius
Ellipse Parabola Hyperbola All these curves obey quadratic equations
How conic sections caused a revolution
Tycho Brahe Kepler
Galileo Studied how things move and found that they obeyed quadratic equations
Cars do ….... Was the car speeding? Forensic evidence: collision damage, witness statements, skid marks THUD!!
s distance of skid u speed F brake force Quadratic equation links them together Solving the equation gives the speed
Parabola So do rugby balls ….
Sir Isaac Newton Explained the link and also invented the reflecting telescope based on the parabola
Newton discovered differential equations Used to explain almost everything Pendulums Car suspensions Musical instruments Radios and TV
Euler finds the solution Solve the quadratic equation to solve the differential equation And millions of important problems
Quadratic equations take flight Speed Pressure Bernouilli
Chaotic quadratic equations Bee population x evolves every year
a = 2 Population settles down population
a = 3 Boom and bust population
a = 4 Chaos population
Are you still frightened of me?
Confessions of an industrial mathematician Chris Budd.
CAN MATHS HELP IN THE FIGHT AGAINST CRIME? Chris Budd.
What have mathematicians done for us? Chris Budd.
© 2010 Pearson Education, Inc. Making Sense of the Universe: Understanding Motion, Energy, and Gravity.
Motion of an object travelling at constant speed in a circle Lets explore the kinematics of circular motion. Why is it accelerating, if the speed is constant?
10-7 The Quadratic Formula. What Does The Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist) even.
Maths Makes Waves Chris Budd. Waves are a universal phenomenon in science at all scales Light pulse 500nm Electron wave 0.5nm.
Chapter 10 Quadratic Relations. In this chapter you should … Learn to write and graph the equation of a circle. Learn to find the center and radius of.
Maths, weather and climate. Chris Budd Some scary climate facts which maths can tell us something about.
Why do objects keep moving without being pushed or pull? Objects keep moving without being pushed or pulled is the Newton's first law.Another reason an.
Back in ancient Greece, the philosopher Aristotle believed that solid objects fell because they were made up of the element earth and were trying to get.
Sample Determine the net gravitational force acting on the Earth during a total lunar eclipse. m sun = 1.99 x10 30 kg m moon = 7.36 x kg r sun =
NEWTONS SECOND LAW APPLIED Objective: know: how to calculate force, mass, and acceleration be able to: explain the motion of objects.
Copyright © Cengage Learning. All rights reserved. 10 Topics in Analytic Geometry.
Playing with FBDs We can use an FBD to find an objects Net Force or Resultant Force The NET FORCE is the force that has resulted from all the forces acting.
Bottle Rockets Vanderbilt Student Volunteers for Science Fall 2008.
Related Rates Finding the rates of change of two or more related variables that are changing with respect to time.
4.4 Conics Recognize the equations and graph the four basic conics: parabolas, circles, ellipse, and hyperbolas. Write the equation and find the focus.
Kepler’s Laws. Kepler and the Physics of Planetary Motion Laws of Planetary Motion Law 1 - Law of Ellipses Law 2 - Law of Equal Areas Law 3 - Harmonic.
The Scientific Revolution. Man and Ideas The Scientific Revolution & the Enlightenment challenged and changed the way people thought about the world.
Motions In The Solar System History: models developed and compared Earth-moon-sun Planets Other objects.
Forces and Motion 4.05 Determine factors that affect motion including: Force Friction. Inertia. Momentum.
Algebra II Chapter 10 Section 5 Hyperbola. The set of all points that have the difference of the distance to 2 focus points is a given constant.
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
ACTIVITY #2: Knock‘em Down Bowling is a good example of an instance where we take advantage of the speed of an object, in this case the bowling ball. The.
AS Sociology Exam Technique. Assessment objectives AO1: knowledge, and understanding. AO1: knowledge, and understanding. Know some of the theories, methods.
Std. IE 1k- Students will recognize the cumulative nature of scientific evidence Objective 1: Compare models of the solar systems Objective 2: Summarize.
To each conic section (ellipse, parabola, hyperbola, circle) there is a number called the eccentricity that uniquely characterizes the shape of the curve.
© Christine Crisp Teach A Level Maths Vol. 2: A2 Core Modules 49: Setting up and Solving Differential Equations.
Whats the use of chaos? Chris Budd. Is life predictable or unpredictable? Can we tell what is going to happen In the next second? In the next hour? In.
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