Arc+Length+Approximation

Home > Algebra 1  > Quadratic Equations and Functions > ArcLengthApproximation ** Brief: Arc length approximation of projectile motion ** = Problem:  A projectile is launched upward at 10 m/s from a platform that is 50 meters high. Find the distance the projectile travelled. =
 * ** Global :** ** Quadratic functions and application **
 * Solution: Generate points on the arc, construct segments that connect two succesice points and find the sum of the lenghts of the segments. The approximated sums will tend to a limit as the number of the generated points increases and the lenghts of the segments get arbitrary small. ** ||

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 * Solution1: View the construction and test (the coordinates of points are generated in Spreadsheet view) ** ||
 * media type="custom" key="20821688" ||
 * ** View online or download **
 * media type="custom" key="20820848"
 * media type="custom" key="20820850"

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 * Solution 2: View the construction and test (the coordinates of points are generated with a cycle) ** ||
 * media type="custom" key="20809984" ||
 * ** View online or download **
 * media type="custom" key="20821042"
 * media type="custom" key="20821044"

|| media type="custom" key="21403540" media type="custom" key="20809804"
 * Generalizing the problem: View the construction and test **** (arc length approximation of an arbitrary function) ** ||
 * media type="custom" key="20820588" ||
 * ** View online or download **
 * media type="custom" key="20821094"
 * media type="custom" key="20821086"

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