4. The upward velocity of a rocket is given as a function of time in Table 3. Table 3 Velocity as a function of time t (s) v(t) (m/s) 10 227.04 15 362.78 20 517.35 22.5 602.97 30 901.67 A Determine the value of the velocity at t=16 seconds using Linear interpolation B. Determine the value of the velocity at t=16 seconds using third order Lagrangian polynomial interpolation

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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4. The upward velocity of a rocket is given as a function of time in Table 3.
Table 3 Velocity as a function of time
t (s) v(t) (m/s)
10
227.04
15
362.78
20
517.35
22.5
602.97
30
901.67
A. Determine the value of the velocity at t=16 seconds using
Linear interpolation
B. Determine the value of the velocity at t=16 seconds using third order Lagrangian
polynomial interpolation.
Transcribed Image Text:4. The upward velocity of a rocket is given as a function of time in Table 3. Table 3 Velocity as a function of time t (s) v(t) (m/s) 10 227.04 15 362.78 20 517.35 22.5 602.97 30 901.67 A. Determine the value of the velocity at t=16 seconds using Linear interpolation B. Determine the value of the velocity at t=16 seconds using third order Lagrangian polynomial interpolation.
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