As in Problem 25 of Section 6.1, you bail out of a helicopter and immediately open your pa...

As in Problem 25 of Section 6.1, you bail out of a helicopter and immediately open your parachute, so your downward velocity satisfies the initial value problem

(with t in seconds and v in ft/s). Use the improved Euler method with a programmable calculator or computer to approximate the solution for 0≦t≦2, first with step size h = 0.01 and then with h = 0.005, rounding off approximate u-values to three decimal places. What percentage of the limiting velocity 20 ft/s has been attained after 1 second? After 2 seconds?