Algebra II Honors/Giftedfreedmath.com/ALGEBRA II HONOR_GIFTED/DAILY LESSON PL… · Web viewWill...
2
Algebra II Honors/Gifted Name_______________________ @ Period____Date______________ END OF THE WORLD? : SYSTEMS OF CONIC SECTIONS END OF THE WORLD? : SYSTEMS OF CONIC SECTIONS Scientists at NASA are tracking the paths of meteors that are approaching earth. They mathematically model the earth as a circle with the center at the origin of a Cartesian Coordinate System. 1) If the radius of the earth is approximately 3960 miles, write the equation of the circle that represents this model. 2) The first meteor they track follows a parabolic path that is modeled by 250x – y 2 = 6000. Will the meteor hit the earth? If so, what are the coordinates of possible impacts? If not, how do you know? 3) A second meteor approaches and is following the path y 2 = 10,000x + 50,000,000. Will the meteor hit the earth? If so, what are the coordinates of possible impacts? If not, how do you know?
Transcript of Algebra II Honors/Giftedfreedmath.com/ALGEBRA II HONOR_GIFTED/DAILY LESSON PL… · Web viewWill...
Algebra II Honors/Gifted Name_______________________ @
Period____Date______________
END OF THE WORLD? : SYSTEMS OF CONIC SECTIONSEND OF THE WORLD? : SYSTEMS OF CONIC SECTIONSScientists at NASA are tracking the paths of meteors that are approaching earth. They mathematically model the earth as a circle with the center at the origin of a Cartesian Coordinate System.
1) If the radius of the earth is approximately 3960 miles, write the equation of the circle that represents this model.
2) The first meteor they track follows a parabolic path that is modeled by 250x – y2 = 6000. Will the meteor hit the earth? If so, what are the coordinates of possible impacts? If not, how do you know?
3) A second meteor approaches and is following the path y2 = 10,000x + 50,000,000. Will the meteor hit the earth? If so, what are the coordinates of possible impacts? If not, how do you know?
