A ball is thrown straight up from an unknown height above the ground of an unknown planet. Its approximate height is measured for the first 6 seconds and given in the table. Use the least-squares method to estimate the initial height, speed and determine the planet. 1 2 3 4 5 6 t/s h/m 14 18 25 26 17 12 (Hint: The height of the ball can be modeled as h(t) = at² + bt+c, where a, b, c E R are related to the initial height, speed and acceleration.)
A ball is thrown straight up from an unknown height above the ground of an unknown planet. Its approximate height is measured for the first 6 seconds and given in the table. Use the least-squares method to estimate the initial height, speed and determine the planet. 1 2 3 4 5 6 t/s h/m 14 18 25 26 17 12 (Hint: The height of the ball can be modeled as h(t) = at² + bt+c, where a, b, c E R are related to the initial height, speed and acceleration.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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