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# Geometry in Roller Coasters

Mods: 3-4
by

## Hannah Shephard

on 23 May 2013

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#### Transcript of Geometry in Roller Coasters

Foundation Geometric Shapes, Points, and Lines Parallel Tracks Almost everywhere you look on a roller coaster, you are sure to find some geometric shape, point, or line.
Intersection: The point where two lines meet.
Line: An undefined term in geometry, a line is a straight path that has no thickness and extends forever.
Perpendicular: Two lines intersecting to for 90˚ angles.
Point: Names a location and has no size.
Skew Lines: Two lines on different planes that are not parallel and do not intersect.
Vertex: (multiple definitions for different types) basically a common endpoint or point of intersection.
Vertical angles: Non-adjacent angles formed by two intersecting lines.
The Geometry in Roller Coasters Titan Location: Six Flags New England (Agawam, Massachusetts)
Type: Hyper Coaster
Height: 208 ft.
First Drop: 221 ft.
Top Speed: 77 miles per hour
Length: 5,400 ft.
Angle of Drop: 70 degrees Location: Six Flags Great Adventure (Jackson, New Jersey)
Type: Launched; Out and Back
Height: 456 ft,
Drop: 418 ft.
Top Speed: 128 miles per hour
Length: 3,118 ft.
Angle of Drop: 90 degrees Angles of the Drops By: Hannah Shephard Main Points The tracks that roller coasters run on HAVE to be parallel. There are multiple points, shapes, and lines in the structure that revolve around geometry. The hills and drops that roller coasters have are all angles. Similar to railroads, it is crucial to roller coasters to have parallel tracks. Without the tracks, the roller coaster would go off track if the were not straight. Even
when the track curves, the lines will
curve equally.
Definition of parallel lines: Lines in
the same plane that don't intersect.
Not only do the tracks have to be
parallel, sometimes the structure
features parallel structures Lochness Monster
Busch Gardens, Virginia Boomerang
Six Flags, New Jersey Shapes Polygon: A closed plane figure formed by three or more segments such that each segment intersects exactly two other segments at their endpoints and no two segments with a common endpoint are collinear. Examples: triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, decagon, etc.
Example of:
Triangle: Right triangle
Quadrilateral: square, rectangle, rhombus Works Cited Location: Six Flags Over Texas (Arlington, Texas)
Type: Hyper Coaster
Height: 245 ft.
First Drop: 255 ft.
Top Speed: 85 miles per hour
Length: 1 Mile (5,280 ft.)
Angle of Drop: 65 Degrees Bizzaro Kingda Ka Phantom's Revenge Kings Dominion Harris, Tom. "How Roller Coasters Work.'' HowStuffWorks. Discovery. 9
August 2007. Online. 22 May 2013.

N.A. "The Angles of Roller Coasters.'' PrimaryIdeas. Blogspot. 10 July 2012.
Online. 22 May 2013.

N.A. "Titan.'' UltimateRollerCoaster. N.D. Online. 22 May 2013.

Each roller coaster typically has a drop that is some type of angle. It is either acute, obtuse, right, or straight.
Obtuse: Angle that measures grater than 90 degrees, but less that 180 degrees.
Acute: Angle that measures greater than 0, but less than 90 degrees.
Right: Angle that measures 90 degrees.
Straight: Angle that measures 180 degrees. Kingda Ka Bizzaro
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