a) Determine the value of the velocity at t=16 seconds with fourth order polynomial interpolation using Newton's divided difference polynomial method. b) Using the third order polynomial interpolant for velocity, find the distance covered by the rocket from t=11s to t=165. c) Using the third order polynomial interpolant for velocity, find the acceleration of the rocket at t=16s.
a) Determine the value of the velocity at t=16 seconds with fourth order polynomial interpolation using Newton's divided difference polynomial method. b) Using the third order polynomial interpolant for velocity, find the distance covered by the rocket from t=11s to t=165. c) Using the third order polynomial interpolant for velocity, find the acceleration of the rocket at t=16s.
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Transcribed Image Text:5.
The upward velocity of a rocket is given as a function of time (t) as:
m/s
7
101
15
197
22
280
27
360
32
460
Transcribed Image Text:a) Determine the value of the velocity at t=16 seconds with fourth order polynomial interpolation
using Newton's divided difference polynomial method.
b) Using the third order polynomial interpolant for velocity, find the distance covered by the
rocket from t=11s to t=16s.
c)
Using the third order polynomial interpolant for velocity, find the acceleration of the rocket at
t=16s.
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