If air resistance is proportional to the square of the instantaneous velocity, then the velocity v of

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If air resistance is proportional to the square of the instantaneous velocity, then the velocity v of a mass m dropped from a given height is determined from

Let v(0) = 0, k = 0.125, m = 5 slugs, and g = 32 ft/s².

(a) Use the RK4 method with h = 1 to approximate the velocity v(5).

(b) Use a numerical solver to graph the solution of the IVP on the interval [0, 6].

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

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Question Posted: Nov 02, 2020 04:59 AM

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If air resistance is proportional to the square of the instantaneous velocity, then the velocity v of

Question:

dv mg – kv, , k>0. dt

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A First Course in Differential Equations with Modeling Applications

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