Time, t (sec) 10 15 20 22.5 30 Velocity, v(m/s) 227.04 362.78 517.35 602.97 901.67 (a) Determine the value of the velocity at t = 16 seconds using third order Lagrangian polynomial to the nearest 3 significant figures. m/s. (b) Find the absolute relative approximate error for the third order polynomial approximation to the nearest 3 significant figures. percent.
Time, t (sec) 10 15 20 22.5 30 Velocity, v(m/s) 227.04 362.78 517.35 602.97 901.67 (a) Determine the value of the velocity at t = 16 seconds using third order Lagrangian polynomial to the nearest 3 significant figures. m/s. (b) Find the absolute relative approximate error for the third order polynomial approximation to the nearest 3 significant figures. percent.
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:Time, t (sec)
10
15
20
22.5
30
Velocity, v(m/s)
227.04
362.78
517.35
602.97
901.67
(a) Determine the value of the velocity at t = 16 seconds using third order Lagrangian polynomial to the
nearest 3 significant figures.
m/s.
(b) Find the absolute relative approximate error for the third order polynomial approximation to the nearest 3
significant figures.
percent.
(c) Using the third order polynomial interpolant for velocity, find the distance covered by the jet from t = 11
seconds to t = 16 seconds to the nearest four significant figures.
metres.
(d) Using the third order polynomial interpolant for velocity, find the acceleration of the jet at t = 16 seconds
to the nearest four significant figures.
metres per square seconds.
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