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Zero Gravity Parabolic Flight

Zero Gravity Parabolic Flight. Marianne Newell Math 1010. NASA trains astronauts by flying them in an airplane, then swooping downward in a parabolic motion to create a sensation of zero gravity. Data. 3x3 System of Equations. 23645=a(2) 2 +b(2)+c 32015=a(20) 2 +b(20)+c

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Zero Gravity Parabolic Flight

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  1. Zero Gravity Parabolic Flight Marianne Newell Math 1010

  2. NASA trains astronauts by flying them in an airplane, then swooping downward in a parabolic motion to create a sensation of zero gravity.

  3. Data 3x3 System of Equations 23645=a(2)2+b(2)+c 32015=a(20)2+b(20)+c 33715=a(40)2+b(40)+c

  4. Solving the System 23645=a(2)2+b(2)+c 32015=a(20)2+b(20)+c 33715=a(40)2+b(40)+c 23645=4a+2b+c 32015=400a+20b+c 33715=1600a+40b+c Elimination Eliminating c: -8370=-396a-18b -10070=-1596a-38b Eliminating a: -9370800=-13680b b=685 Eliminating b: -136800=13680a a=-10 Solving for c: 23645=4(-10)+2(685)+c c=22315 Quadratic Model: h=-10x2+685x+22315

  5. Completing the Square h=-10x2+685x+22315 h=10x2-685x-22315 h+22315=10(x-34.25)2 (+11730.625) h=10(x-34.25)2-23488.0625 (multiplied by -1) maximum

  6. Graphing h=10(x-34.25)2-23488.0625

  7. Reflective Writing This project help me tie math skills in with a real world application. NASA workers must be able to calculate and understand this flight path precisely, or else it could be disastrous. Math is a really important part of several other careers.

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