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The vertical motion of a general aviation airplane subjected to a sharp-edged wind gust is described by the equation
Δw(t) = Ag(1-e-t/τ) assume Ag = 30
where Δw is in the vertical velocity, is the magnitude of the wind gust, and g A (1-e-t/τ) is the time constant of the airplane. Use the Figure Q3 to determine the following:
(a) State the two types of gust inputs that are commonly used for the modelling process.
(b) Estimate the time constant of the airplane system.
(c) The maximum vertical acceleration and the time at which it occurs.
(d) Airplanes with low wing loadings are more responsive to the influence of vertical wind gusts compared with airplanes with high wing loadings. Verify the validity of the statement above with appropriate reasoning.
Use Lagrange interpolation to estimate f(3), given that f(1) = 1, f(4) = -3, f(2) = 0 and f(-1) = 3.
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Find the quadratic that interpolates f(x) = 2x 3 - x + 1 at the nodes x 0 = 0, x 1 = 2, x 2 = 3, a) by solving a set of three equations for the coefficients of p 2 (x) = a 2
What are the lowest and highest addresses in a 2 20 byte memory in which a four-byte word is the smallest addressable unit?
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Evaluate the expression below for various smoothers, plot and compare the results, making appropriate comments.
A) For a given integer n, if n 2 is divisible by 4, then n2 4 is divisible by 16. State the hypothesis of this sentence and the conclusion. Give a direct proof of the statement
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