PROBLEM: (40 pts) The upward velocity of a rocket is given at three different times in the following table Time, t Velocity, v S m/s 5 106.8 8 177.2 12 279.2 The velocity data is approximated by a polynomial as v(t)= a?t + a?t+az, 5 ?t?12. The coefficients a1, a2, as for the above expression are given by 25 5 [106.8] a? 64 81a? = 177.2 144 12 1

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PROBLEM: (40 pts) The upward velocity of a rocket is given at three different times in the following table Time, t Velocity, v S m/s 5 106.8 8 177.2 12 279.2 The velocity data is approximated by a polynomial as v(t)= a?t + a?t+az, 5 ?t?12. The coefficients a1, a2, as for the above expression are given by 25 5 [106.8] a? 64 81a? = 177.2 144 12 1 a3 279.2 1.0 Find the values of a1, a2, a3 using Gauss-Seidel Method. Assume an initial guess of the solution as [a, a? a3] = [125] = a1 az a3 2.0 How many iterations are required ?

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