14x10 1. The velocity of a rocket is given by v(t) = 2000 In -9.8t,0≤t≤30 where 14×10¹ - 2100t v is given in m/s and t is 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 -9.8t,0≤t≤30 where 14×10¹ - 2100t v is given in m/s and t is 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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