Question: 5. The acceleration-time data for a small rocket is given in the table below. Times (s) Acceleration (m/s) 12 14 16 18 94 81

5. The acceleration-time data for a small rocket is given in the table below. Times (s) Acceleration (m/s) 12 14 16 18 94 81 68 56 Use Newton's divided difference third order polynomial interpolation to find the acceleration at -15.5 seconds. General form of NDDP: f(x) = b + b(x-x)+...+ b (x-x)(x-x)...(x-x-1) = f(x,x]=(x)-f(x) xx-x = f[xx] = m m-19 m x-xo (20points)

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