1. Given that the time and acceleration for a particles movement is recorded and summarized in Table 1 Time t Acceleration a(t) [s] [ms?] -2 14 -1 7 4 1 8 Table 1: Acceleration as a function of time a) Based on Table 1, find the polynomial interpolation for a(t) using Newton's divided difference method with order n=2 & 3. b) In both cases, estimate the acceleration a (t) at time t = 2
1. Given that the time and acceleration for a particles movement is recorded and summarized in Table 1 Time t Acceleration a(t) [s] [ms?] -2 14 -1 7 4 1 8 Table 1: Acceleration as a function of time a) Based on Table 1, find the polynomial interpolation for a(t) using Newton's divided difference method with order n=2 & 3. b) In both cases, estimate the acceleration a (t) at time t = 2
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![1. Given that the time and acceleration for a particles movement is recorded and summarized
in Table 1
Time t
Acceleration a(t)
[s]
[ms?]
-2
14
-1
7
4
1
8
Table 1: Acceleration as a function of time
a) Based on Table 1, find the polynomial interpolation for a(t) using Newton's divided
difference method with order n=2 & 3.
b) In both cases, estimate the acceleration a (t) at time t = 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2d6ff6d-1fcf-4dee-9b1a-60dd5fd1d170%2Fe8401d66-3152-43fd-8946-c5c5691ef918%2F2xiqk5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Given that the time and acceleration for a particles movement is recorded and summarized
in Table 1
Time t
Acceleration a(t)
[s]
[ms?]
-2
14
-1
7
4
1
8
Table 1: Acceleration as a function of time
a) Based on Table 1, find the polynomial interpolation for a(t) using Newton's divided
difference method with order n=2 & 3.
b) In both cases, estimate the acceleration a (t) at time t = 2
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