Cayla Rushton Mr. Ekenstam Math 1010 11/12/13.  NASA and the Russian Space Agency use a special plane to train their astronauts. This plane goes almost.

Slides:

Advertisements

Similar presentations

Mr. Gs Problem Solving Guidelines. Step #1 Identify and write the variables given in the problem. Ex:V f = 10 m/s V o = 0 t = 2 sec.

Advertisements

Height of a Zero Gravity Parabolic Flight

Space Exploration Quadratic Equations Vertical Motion Gravity

Free Fall Acceleration

Ideal Projectile Motion

Weightlessness Ryan Ash. What is weightlessness! Weightlessness occurs when a body is: falling freely; in orbit, in outer space or in an airplane following.

NASA KC-135 Flight Georgia Tech Aerospace Engineering October 18, 2001 Dynamic Behavior of Surface Tension in Microgravity.

Explaining the effects on the human body.  The condition of microgravity comes about whenever an object is in free fall.  That is, it falls faster and.

Experiencing Weightlessness. The Zero G Experience!

Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 Function Basics One to One fun Graphing Functions Max and Min Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500 $

Warm-up Problems Simplify Solve -2(x – 3)2 = 24

Introduction to Geometry

TOPIC 3: Functions A. Functions vs. Relations Do you remember this? ab Find the rule The rule is: 3 a = b The question could also.

5.8 – Quadratic Formula. Ready to SING? X = -b + 2a What does it all mean??? ax 2 + bx + c So, we plug into the formula and simplify the arithmetic!

Height of a Zero Gravity Parabolic Flight

Math 1010 Intermediate Algebra Maddie Gale Shelley P.2.

Height of a Zero Gravity Parabolic Flight

+ Where Should A Pilot Start Descent Group Aicha Rocks My Socks: Aicha, Kayla, Kelly, Mariel, Keani, Boky.

Graphing Quadratic Equations. What does a quadratic equation look like? One variable is squared No higher powers Standard Form y = ax 2 + bx + c y = x.

Miss Battaglia AP Calculus Related rate problems involve finding the ________ at which some variable changes. rate.

Math 71A 3.1 – Systems of Linear Equations in Two Variables 1.

Chapter 10 Story Problems

To use quadratic functions to model and solve equations based on (time, height) relationships for projectiles. To solve quadratic equations using graphs,

Universal Law of Gravity. Newton’s Universal Law of Gravitation Between every two objects there is an attractive force, the magnitude of which is directly.

Application of Derivative - 1 Meeting 7. Tangent Line We say that a line is tangent to a curve when the line touches or intersects the curve at exactly.

Applications Day 1. Do Now 1) Find a quadratic equation to best model the data below using your graphing calculator. Use your equation to answer the question.

2.6 (2) Quadratic Functions Applications and Graphs, Using the Vertex.

Math Jeopardy Quad. Functions And Square Roots Graphing Quad. Equations Solving Quad. Equations Vertical Motion “Algebra – Chapter 9” Critical Values.

Introduction to Projectile Motion

Physics Lesson 6 Projectile Motion

10.6 Plane Curves and Parametric Equations. Let x = f(t) and y = g(t), where f and g are two functions whose common domain is some interval I. The collection.

Parametric Equations. You throw a ball from a height of 6 feet, with an initial velocity of 90 feet per second and at an angle of 40º with the horizontal.

Sullivan Algebra and Trigonometry: Section 11.7 Objectives of this Section Graph Parametric Equations Find a Rectangular Equation for a Curve Defined Parametrically.

10.4 Projectile Motion Fort Pulaski, GA. One early use of calculus was to study projectile motion. In this section we assume ideal projectile motion:

Chapter 3 Polynomial and Rational Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Polynomial and Rational Inequalities.

Miss Battaglia AP Calculus Related rate problems involve finding the ________ at which some variable changes. rate.

Lesson 1-2 Example Solve. BIRDS A seagull was flying at 90 feet above sea level. It then dropped down 70 feet to look for food. At what height was.

Lesson 3 Contents Example 1Radical Equation with a Variable Example 2Radical Equation with an Expression Example 3Variable on Each Side.

Copyright Sautter Motion in Two Dimension - Projectiles Projectile motion involves object that move up or down and right or left simultaneously.

Math /4.2/4.3 – Solving Systems of Linear Equations 1.

Two-Dimensional Motion and Vectors CP: 6.1 A gun with a muzzle velocity of 1000 ft/sec is shot horizontally. At the same time an identical bullet is.

MATH II – Math I review

2.1 – Quadratic Functions.

Two-Dimensional Motion Chapter 3. A little vocab  Projectile = any object that moves through space acted on only by gravity  Trajectory = the path followed.

QUADRATIC EQUATIONS MICROGRAVITY VERTICAL MOTION WHAT DO THESE THREE THINGS HAVE IN COMMON? Stay tuned and find out!!

Chapter 2 Kinematics in One Dimension Mechanics – forces & motion Kinematics – describes motion Dynamics – causes of motion (forces)

Warm Up: Choose Any Method We Have Discussed. Homework.

Warm Up: Choose Any Method We Have Discussed

The Quadratic Formula. y = ax 2 + bx + c (Standard Form) * To apply the formula, you must write the equation in standard form first! x 2 +5x = 14 (not.

C H A P T E R 5 Dynamics of Uniform Circular Motion.

Introduction to Functions Honors Math – Grade 8. KEY CONCEPT Function A function is a relation in which each element of the domain is paired with exactly.

Solving Inequalities Algebraically

Bellwork Identify the focus, directrix, and axis of symmetry of the parabola. Graph the equation. Also describe the Transformations 6

Solving System of Linear Equations

2.5 Formulas and Additional Applications from Geometry

Warm-up 1) Solve the system using substitution:

Quadratic Functions (Graphing)

C H A P T E R 5 Dynamics of Uniform Circular Motion

Warm Up HW: Quadratics Review Worksheet

Warm-up Unit 3 Day 4 How do you graph a line?

Solving Equations with variables on each side

Solving Quadratic equations by graphing.

2.4 Modeling with Quadratic Functions

4.3 Parallel and perpendicular lines

Solve by Graphing Solve by Factoring Complex Numbers Solve by

Parametric Equations.

Northrop Grumman Foundation Weightless Flights of Discovery

10.4 Parametric Equations.

Presentation transcript:

Cayla Rushton Mr. Ekenstam Math /12/13

 NASA and the Russian Space Agency use a special plane to train their astronauts. This plane goes almost straight up then nosedives almost straight down again this freefall simulates seconds of weightlessness as felt in the Space Station. This almost vertical fight is actually a parabolic flight path. What is this parabolic flight path? How high does this Vomit Comet go?

Height of a Zero-G flight t seconds after start of flight path 2 sec20 sec40 sec ft32015 ft33715 ft The data points were given as time is seconds and height in feet. An equation was also given, h= at^2 + bt + c. When we plug in the data points given we have three equations with three variables. This is a system of equations so all three variables, a, b, and c can be found. Once a, b, and c are known you plug those numbers in on the equation h= at^2 + bt + c.

 Solving this system of equations it comes to be a=-10, b=685, and c=22315 the new equation is h=-10t^2+685t Now the max height can easily be figured.

 When t=-b/2a this is when the maximum=h. So plug in b and a, then plug in t to the equation h=-10t^2+685t this is the maximum value or height. When the time is seconds the plane is feet up in the air and this is as high as it gets in its parabolic flight.

 With the equation h=-10t^2+685t this flight path can be graphed.

 This project has changed the way I think about how math can be applied because this is real, and really needs to be figured. NASA is a real organization and these are real jets. There are pilots right now that need to know this information and I figured it. I wouldn’t go so far as to say I could fly it but I know exactly where they would be and the precise position they would be in. Most story problems are simplified and unrealistic so seeing one that is realistic makes the math more real and seem more useful in life in general as well.