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
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Author:Erwin Kreyszig
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5.6

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.
t/s
h/m 14
1 2 3 4 5 6
18 25 26 17 12
(Hint: The height of the ball can be modeled as h(t) = at² + bt+c, where a, b, c = R are related to
the initial height, speed and acceleration.)
Transcribed Image Text: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. t/s h/m 14 1 2 3 4 5 6 18 25 26 17 12 (Hint: The height of the ball can be modeled as h(t) = at² + bt+c, where a, b, c = R are related to the initial height, speed and acceleration.)
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