2. NASA can create a weightless environment by flying a plane in parabolic paths. The table shows heights h (in feet) of a plane t seconds after starting the flight path. After about 20.8 seconds, passengers begin to experience a weightless environment. Write and evaluate a function to approximate the height at which this occurs. Time, t Height, h 10 26,900 15 29,025 20 30,600 25 31,625 30 32,100 35 32,025 40 31,400 a. Show that the table of values represent a quadratic function using successive differences. b. Write a quadratic function that models the data.
2. NASA can create a weightless environment by flying a plane in parabolic paths. The table shows heights h (in feet) of a plane t seconds after starting the flight path. After about 20.8 seconds, passengers begin to experience a weightless environment. Write and evaluate a function to approximate the height at which this occurs. Time, t Height, h 10 26,900 15 29,025 20 30,600 25 31,625 30 32,100 35 32,025 40 31,400 a. Show that the table of values represent a quadratic function using successive differences. b. Write a quadratic function that models the data.
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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Transcribed Image Text:2. NASA can create a weightless environment by flying a plane in parabolic paths. The
table shows heights h (in feet) of a plane r seconds after starting the flight path. After
about 20.8 seconds, passengers begin to experience a weightless environment. Write
and evaluate a function to approximate the height at which this occurs.
Time,t Height, h
10
26,900
15
29,025
20
30,600
25
31,625
32,100
32,025
31,400
30
35
40
a. Show that the table of values represent a quadratic function using
successive differences.
b. Write a quadratic function that models the data.
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