We are given the following data for the velocity as a function of time: 10 227.04 362.78 517.35 602.97 | 901.67 15 20 22.5 t(s) v(t) (m/s) 30 (1) Determine the value of the velocity at t-16 s using third order Lagrangian polynomial interpolation. (2) Find the absolute relative approximate error for the third order polynomial approximation, if v(16) = 392.19 m/s using the second order polynomial. (3)Using the third order polynomial interpolant for velocity, find the distance covered from t-11 s tot=16 s. (4) Using the third order polynomial interpolant for velocity, find the acceleration at t=16 s.

We are given the following data for the velocity as a function of time: 10 227.04 362.78 517.35 602.97 | 901.67 15 20 22.5 t(s) v(t) (m/s) 30 (1) Determine the value of the velocity at t-16 s using third order Lagrangian polynomial interpolation. (2) Find the absolute relative approximate error for the third order polynomial approximation, if v(16) = 392.19 m/s using the second order polynomial. (3)Using the third order polynomial interpolant for velocity, find the distance covered from t-11 s tot=16 s. (4) Using the third order polynomial interpolant for velocity, find the acceleration at t=16 s.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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