How High?Nonlinear Air Resistance Consider the 16-pound

Chapter 3, Problem 3.1.64

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How High?Nonlinear Air Resistance Consider the 16-pound cannonball shot vertically upward in 36 and 37 in Exercises 3.1 with an initial velocity v0 300 ft/s. Determine the maximum height attained by the cannonball if air resistance is assumed to be proportional to the square of the instantaneous velocity. Assume that the positive direction is upward and take k 0.0003. [Hint: Slightly modify the DE in 15.]

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