If air resistance is proportional to the square of the instantaneous velocity, then the velocity v of a massm dropped from a given height is determined from dv m = mg - kv, k> 0. dt Let v(0) = 0, k = 0.125, m = 8 slugs, and g = 32 ft/s. (a) Use the RK4 method with h = 1 to approximate the velocity v(5). (Round your answer to three decimal places.) v(5) = ft/s (b) Use a numerical solver to graph the solution of the IVP on the interval [0, 6]. 50아 50 50F 5아 40 40 40 40 30 30 30 30 20 20 20 20 10 10 10 10 1 3 4 5 6 1 2 3 6 1 2 3 4 5 6 1 2 3 4 5 6 (c) Use separation of variables to solve the IVP and then find the actual value v(5). (Round your answer to four decimal places.) v(5) = ft/s

If air resistance is proportional to the square of the instantaneous velocity, then the velocity v of a massm dropped from a given height is determined from dv m = mg - kv, k> 0. dt Let v(0) = 0, k = 0.125, m = 8 slugs, and g = 32 ft/s. (a) Use the RK4 method with h = 1 to approximate the velocity v(5). (Round your answer to three decimal places.) v(5) = ft/s (b) Use a numerical solver to graph the solution of the IVP on the interval [0, 6]. 50아 50 50F 5아 40 40 40 40 30 30 30 30 20 20 20 20 10 10 10 10 1 3 4 5 6 1 2 3 6 1 2 3 4 5 6 1 2 3 4 5 6 (c) Use separation of variables to solve the IVP and then find the actual value v(5). (Round your answer to four decimal places.) v(5) = ft/s

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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