2. Time t, (s) Use the following data to find the velocity and acceleration at t = 3, 7, 12, 18 and 20 seconds using a. forward finite difference b. backward finite difference c. central finite difference 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Position 0.0 0.2 0.5 1.0 1.6 2.4 3.3 4.1 5.1 5.8 6.3 6.6 7.3 7.6 8.0 8.2 8.4 8.6 8.8 8.9 9.0 x, (m)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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2.
Time t,
(s)
Use the following data to find the velocity and acceleration at t = 3, 7, 12, 18 and 20
seconds using
a. forward finite difference
b. backward finite difference
c. central finite difference
1 2 3
0|²|²|³|4|5||
6
7 8 9 10 11 12 13 14 15 16 17 18 19 20
Position 0.0 0.2 0.5 1.0 1.6 2.4 3.3 4.1 5.1 5.8 6.3 6.6 7.3 7.6 8.0 8.2 8.4 8.6 8.8 8.9 9.0
x, (m)
Hint: it is not intended that you do these by hand.
Transcribed Image Text:2. Time t, (s) Use the following data to find the velocity and acceleration at t = 3, 7, 12, 18 and 20 seconds using a. forward finite difference b. backward finite difference c. central finite difference 1 2 3 0|²|²|³|4|5|| 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Position 0.0 0.2 0.5 1.0 1.6 2.4 3.3 4.1 5.1 5.8 6.3 6.6 7.3 7.6 8.0 8.2 8.4 8.6 8.8 8.9 9.0 x, (m) Hint: it is not intended that you do these by hand.
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