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Parabola.

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Presentation on theme: "Parabola."— Presentation transcript:

1 Parabola

2 Parabola 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 a 2nd degree or quadratic function of the form ʺf(x) = ax² + bx + c

3 Conic Sections and Shapes
Parabola Circle Ellipse Parallel to the side Hyperbola

4 Construction of a Parabola as a Section of a Cone

5 Parabolic Curve Applications
In Technology Parabolic Antennas & Satellites Solar Parabolic Reflection In Physics Parabolic Trajectory Zero Gravity Everyday Nature’s Parabolas Architecture Home Tools

6 Trajectory for Launched Object

7 Trajectory: NASA Zero G Aircraft
Parabolic Flight 30 thousand feet 28 Plane at 45° Zero-G Plane at 45° 24 22 20 Duration (seconds) 1.8-G Source: NASA-MSFC Source: NASA-JSC

8 Parabolic Concentration

9 Concentration Examples
RCA Satellite Antenna Source: NASA-GRC Applications Technology Satellite

10 Concentration Examples
Trough Solar Dish Source: Sandia National Laboratories

11 Parabolic Dispersion

12 Reflected light forms a parallel beam directed straight ahead
Dispersion Examples Parabolic reflector Reflected light forms a parallel beam directed straight ahead Focus Source:

13 Parabolic Curves in Sports
Source:

14 Parabolic Curves in Home

15 Parabola


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