ROLLER COASTER DESIGN

ROLLER COASTER DESIGN

1.) Start by writing the equation of the circle.X^2 + y^2 = 30^2 X^2 + y^2 = 900 Now solve this equation for y.Y = sqrt (900 – x^2) 2.) Graph the model of the roller coaster 3.) Write the equation you would need to solve to fing the horizontal distance each beam is from the origin.25 = sqrt (900 – x^2) 4.) Algebraically solve the equation you found in 3.25 = sqrt (900 – x^2) 625 = 900 – x^2

X^2 = 275

5.) Explain where to place the two beams.

X = 16.58

6.) Graph the cable and the strut on the model of the roller coaster.This study source was downloaded by 100000784424693 from CourseHero.com on 04-27-2021 12:34:43 GMT -05:00

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7.) Algebraically find the point where the cable and strut intersect.2x + 8 = sqrt (900 – x^2) 4x^2 + 32x + 64 = 900 – x^2 3x^2 + 32x – 836 = 0 X = 2 8.) Graph the two struts on the model of the roller coaster. This study source was downloaded by 100000784424693 from CourseHero.com on 04-27-2021 12:34:43 GMT -05:00

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9.) Algebraically determine the x value of where the beam should be placed.

X = -9

10.) Explain where to place the beam.Place the beam directly above 4 feet from the center. This study source was downloaded by 100000784424693 from CourseHero.com on 04-27-2021 12:34:43 GMT -05:00

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