The upward velocity of a rocket is given as a function of time in the table below. Velocity as a function of time. t v (t) (s) |(m/s) 5 222.04 10 357.78 15 512.35 21.5 615.97 25 910.67 a) Determine the value of the velocity at t = 13 seconds using: • The Linear Lagrange Interpolation • The Quadratic Lagrange Interpolation • The Cubic Lagrange Interpolation b) Find the absolute relațive approximate error for the Quadratic and the Cubic polynomial approximation.

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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Question #1
The upward velocity of a rocket is given as a function of time in the table below. Velocity as a
function of time.
v (1)
(s)
(m/s)
5
222.04
10
357.78
15
512.35
615.97
21.5
25
910.67
a) Determine the value of the velocity at t = 13 seconds using:
• The Linear Lagrange Interpolation
• The Quadratic Lagrange Interpolation
• The Cubic Lagrange Interpolation
b) Find the absolute relațive approximate error for the Quadratic and the Cubic polynomial
approximation.
Transcribed Image Text:Question #1 The upward velocity of a rocket is given as a function of time in the table below. Velocity as a function of time. v (1) (s) (m/s) 5 222.04 10 357.78 15 512.35 615.97 21.5 25 910.67 a) Determine the value of the velocity at t = 13 seconds using: • The Linear Lagrange Interpolation • The Quadratic Lagrange Interpolation • The Cubic Lagrange Interpolation b) Find the absolute relațive approximate error for the Quadratic and the Cubic polynomial approximation.
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