[M] To measure the takeoff performance of an airplane, the horizontal position of the plane was measured every second, from t = 0 to t = 12. The positions (in feet) were: 0, 8.8, 29.9, 62.0, 104.7, 159.1, 222.0, 294.5, 380.4, 471.1, 571.7, 686.8, and 809.2. a. Find the least-squares cubic curve y = Bo + Bit + B2t? + B3t³ for these data. b. Use the result of part (a) to estimate the velocity of the plane when t = 4.5 seconds.
[M] To measure the takeoff performance of an airplane, the horizontal position of the plane was measured every second, from t = 0 to t = 12. The positions (in feet) were: 0, 8.8, 29.9, 62.0, 104.7, 159.1, 222.0, 294.5, 380.4, 471.1, 571.7, 686.8, and 809.2. a. Find the least-squares cubic curve y = Bo + Bit + B2t? + B3t³ for these data. b. Use the result of part (a) to estimate the velocity of the plane when t = 4.5 seconds.
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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![[M] To measure the takeoff performance of an airplane, the horizontal position of the plane was measured every second,
from t = 0 to t = 12. The positions (in feet) were: 0, 8.8,
29.9, 62.0, 104.7, 159.1, 222.0, 294.5, 380.4, 471.1, 571.7,
686.8, and 809.2.
a. Find the least-squares cubic curve y = Bo + Bit +
B2t? + B3t³ for these data.
b. Use the result of part (a) to estimate the velocity of the plane when t = 4.5 seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4569841f-2406-4655-8d10-364346eb225f%2Fe97fb088-8fdf-4842-8f76-e27b3c4d3cc4%2Fxppbhkt.png&w=3840&q=75)
Transcribed Image Text:[M] To measure the takeoff performance of an airplane, the horizontal position of the plane was measured every second,
from t = 0 to t = 12. The positions (in feet) were: 0, 8.8,
29.9, 62.0, 104.7, 159.1, 222.0, 294.5, 380.4, 471.1, 571.7,
686.8, and 809.2.
a. Find the least-squares cubic curve y = Bo + Bit +
B2t? + B3t³ for these data.
b. Use the result of part (a) to estimate the velocity of the plane when t = 4.5 seconds.
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