2013 IEBC For more information on SLATE Demonstration Curricula, contact: Shelly Valdez, Ed.D IEBC Director of Educational Collaboration
Parabola IEBC SLATE Demonstration Curricula
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 IEBC SLATE Demonstration Curricula
Conic Sections and Shapes Hyperbola Parabola Circle Ellipse Parallel to the side IEBC SLATE Demonstration Curricula
Parabolic Curve Applications In technology Parabolic antennas and satellites Solar Parabolic reflection In physics Parabolic trajectory Zero gravity Everyday Nature’s parabolas Architecture Home Tools IEBC SLATE Demonstration Curricula
Trajectory for Launched Object IEBC SLATE Demonstration Curricula
Trajectory: NASA Zero G Aircraft Parabolic Flight 30 thousand feet Zero-G Duration (seconds) 1.8-G Source: NASA-MSFCNASA-MSFC Plane at 45 ° IEBC SLATE Demonstration Curricula
Parabolic Concentration IEBC SLATE Demonstration Curricula
Concentration Examples Satellite antenna Source: NASA-GRCNASA-GRC Technology satellite IEBC SLATE Demonstration Curricula
Concentration Examples Trough solar dish Source: Sandia National Laboratories IEBC SLATE Demonstration Curricula
Parabolic Dispersion IEBC SLATE Demonstration Curricula
Dispersion Examples Source: Parabolic reflector Reflected light forms a parallel beam directed straight ahead. Focus IEBC SLATE Demonstration Curricula
Parabolic Curves in Sports Source: IEBC SLATE Demonstration Curricula
Parabolic Curves at Home IEBC SLATE Demonstration Curricula
Architecture San Francisco Golden Gate Bridge IEBC SLATE Demonstration Curricula
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? IEBC SLATE Demonstration Curricula
Application of a Parabola Used with permission by: 2013 IEBC SLATE Demonstration Curricula