Question 1. The Time t(s) 2 3 4 5 velocity-time table of a rocket is given in the following table Velocity v(m/s) 42.6 99.8 195.3 325.6 The velocity data is appoximated by a polynomial as V(t)=a₁t³+a₂t²+a3t+a+ 2≤t≤5 Find values of a₁, a2, a3 and a4 using Gauss-Seidel method. The initial guess of the solution is given as: DUD W N аз -1 || Conduct two iterations. Calculte absolute relative error at the end of each step.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 1. The velocity-time table of a rocket is given in the following table
Time t(s)
Velocity v(m/s)
42.6
99.8
195.3
325.6
4
5
The velocity data is appoximated by a polynomial as
V(t)=ait³+azt²+a3t+a4
2<t<5
Find values of a1, a2, a3 and a4 using Gauss-Seidel method.
The initial guess of the solution is given as:
a2
a3
La4
Conduct two iterations. Calculte absolute relative error at the end of each step.
111
Transcribed Image Text:Question 1. The velocity-time table of a rocket is given in the following table Time t(s) Velocity v(m/s) 42.6 99.8 195.3 325.6 4 5 The velocity data is appoximated by a polynomial as V(t)=ait³+azt²+a3t+a4 2<t<5 Find values of a1, a2, a3 and a4 using Gauss-Seidel method. The initial guess of the solution is given as: a2 a3 La4 Conduct two iterations. Calculte absolute relative error at the end of each step. 111
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