A64-lb object with initial velocity v0 ? 0 falls through a dense ? uid that exerts a resistive force proportionalto the square root of the speed. the resistance is 64 lb if the speed is 16 ft/s. (a) set up the initial value problem for the velocity v of the mass for t > 0. (b) use exercise 14(c) to determine the terminal velocity of the object. (c) c to con? rm your answer to (b), use one of the numerical methods studied in chapter 3 to compute approximate solutionson [0,4](seconds) of the initialvalue problem of (a), with initial values v0 = 0, ? 5, ? 10, ? 30. present your results in graphical form similar to figure 4.3.3.