Question: please fast help Q3 (a) A rocket is launched from a space center station. The control station is monitoring the rocket velocity. Table Q3(a) shows

please fast help

Q3 (a) A rocket is launched from a space center station. The control station is monitoring the rocket velocity. Table Q3(a) shows the rocket velocity as a function of time. Determine the value of the velocity at t= 16 seconds using a polynomial-based approach. (b) Find f (3.5) using the data below: f(-4) = 1245 f(-1) = 33 f(0) = 5 f(2) = 9 f(5) = 1335 Give answer in 4 decimal points. Note that the interval difference is not necessarily the same for all sequence of values. 3 Table Q3(a): Velocity as a function of time 1 (s) V(t) (m/s) 0 10 227.04 15 362.78 20 517.35 22.5 602.97 30 901.67

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