(a) Use the following data to find the velocity and acceleration at t = 10 seconds:
Numerical methods
(a) Use the following data to find the velocity and acceleration at t = 10 seconds:
| Time (s): | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
|---|---|---|---|---|---|---|---|---|---|
| Position (m): | 0 | 0.7 | 1.8 | 3.4 | 5.1 | 6.3 | 7.3 | 8.0 | 8.4 |
Use second-order correct (i) centered finite-difference, and (ii) backward finite-difference methods.
(b) Use the Taylor expansions for f(x +h), f(x+2h), f(x +3h) and derive the following forward finite-difference formulas for the second derivative. Write down the error term
$$ f^{\prime \prime}(x) \approx \frac{-f(x+3 h)+4 f(x+2 h)-5 f(x+h)+2 f(x)}{h^{2}} $$
Homework Answers
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(a) Use the following data to find the velocity and acceleration at t = 10 seconds:
Approximating derivatives
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Please help me answer this question using matlab Consider the function f(x) x3 2x4 on the...
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Please show answer using MATLAB Time, t(s) 0 2 4 6 8 10 12 14 16 Position, x(m) 0 0.7 1.8 3.4 5.1 6.3 7.3 8.0 8.4 To find the velocity at all times using the two-point differencing formula (and where appropriate the three-point forward or backward differencing formulae), these should yield the results correct to O(h2) To find the acceleration at all times using the three-point central differencing formula (and where appropriate the four-point forward or backward differencing formulae),...
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Here is 11.1 for reference. I need help with 11.3
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