14x10 1. The velocity of a rocket is given by v(t) = 2000 In |-9.8r,0sts 30 where [14×10ʻ – 2100r v is given in m/s and tis given in seconds. At t=16 s and using At= 2 s, a. Use forward difference, backward difference and central difference approximations of the first derivative of v(t) to determine the acceleration of the rocket. b. If the true value of the acceleration at t-16 s is 29.674 m/s², calculate the absolute relative true error for each approximation obtained. What can you conclude from these values of the relative errors?
14x10 1. The velocity of a rocket is given by v(t) = 2000 In |-9.8r,0sts 30 where [14×10ʻ – 2100r v is given in m/s and tis given in seconds. At t=16 s and using At= 2 s, a. Use forward difference, backward difference and central difference approximations of the first derivative of v(t) to determine the acceleration of the rocket. b. If the true value of the acceleration at t-16 s is 29.674 m/s², calculate the absolute relative true error for each approximation obtained. What can you conclude from these values of the relative errors?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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