The following data are recorded for the velocity of an object as a function of time (Table 2). t, s v, m/s 0 0 Table 2 4 12 16 8 20 24 28 32 36 34.7 61.8 82.8 99.2 112.0 121.9 129.7 135.7 140.4 a) Using 5-point central difference formula, estimate the object's acceleration at t = 28s. b) By assuming the exact acceleration at t = 28s is 1.625ms-2, find the error from the estimation in (a). (Your answer must be in 4 decimal points) c) Using 5-point central difference formula, estimate the second derivative of obiect's velocity at t = 24s.

The following data are recorded for the velocity of an object as a function of time (Table 2). t, s v, m/s 0 0 Table 2 4 12 16 8 20 24 28 32 36 34.7 61.8 82.8 99.2 112.0 121.9 129.7 135.7 140.4 a) Using 5-point central difference formula, estimate the object's acceleration at t = 28s. b) By assuming the exact acceleration at t = 28s is 1.625ms-2, find the error from the estimation in (a). (Your answer must be in 4 decimal points) c) Using 5-point central difference formula, estimate the second derivative of obiect's velocity at t = 24s.

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

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...

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