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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The following data are recorded for the velocity of an object as a function of time (Table 2).
Table 2
t, s
v, m/s
0
0
4
8
34.7 61.8
12 16 20 24 28 32 36
82.8 99.2 112.0 121.9 129.7 135.7
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.
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