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2013 IEBC www.iebcnow.org

2013 IEBC www.iebcnow.org. Parabola. 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org. 1. Parabola. A parabola is a plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone.

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2013 IEBC www.iebcnow.org

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  1. 2013 IEBC www.iebcnow.org

  2. Parabola 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 1

  3. Parabola A parabola is a plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically, a parabola is the two-dimensional graph of a second-degree or quadratic equation or function of the form. 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 2

  4. Conic Sections and Shapes Parabola Parallel to the side Hyperbola Circle Ellipse 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 3

  5. Parabolic Curve Applications 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 4

  6. Trajectory for Launched Object 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 5

  7. Trajectory: NASA Zero G Aircraft • Parabolic Flight • 30 thousand feet • 28 • 26 Zero-G • 24 • 22 • 20 • 0 20 40 • Duration (seconds) Plane at 45 ° Plane at 45 ° 1.8-G 1.8-G 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 6 Source: NASA-MSFC

  8. Parabolic Concentration 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 7

  9. Concentration Examples Technology satellite Satellite antenna Source: NASA-GRC 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 8

  10. Concentration Examples Trough solar dish Source: Sandia National Laboratories 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 9

  11. Parabolic Dispersion 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 10

  12. Dispersion Examples A parabolic headlight uses a parabolic reflector surrounding a bulb to focus light and then disperses the light by the shape of the lens. 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 11

  13. Parabolic Curves in Sports Source: www.Pics4Learning.com 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 12

  14. Parabolic Curves at Home 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 13

  15. Architecture San Francisco Golden Gate Bridge 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 14

  16. Storming Castle Pi: Overarching Problem The Raving Irrationals are trying to overtake the Castle of Pi. They want to launch burning bales of hay into the castle to drive out the citizens of Pi. When the catapult arm is pulled back to ground level, the hay bale is launched at a distance of 100 feet west of the castle wall. The wall is 35 feet high. The bale clears the wall by a height of 15 feet and lands inside the castle, which is also 100 feet from the wall. The Irrationals come under attack and must retreat from this site. Their new position is 70 feet southwest of the wall. They need to relaunch; however, the wall on this side is 45 feet high. If the castle is 120 feet in diameter, will the hay bales land inside the castle wall or fly over it? 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org 15

  17. Application of a ParabolaUsed with permission by: 2013 IEBC SLATE Demonstration Curricula www.iebcnow.org

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