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25. Falling parachutist As in Problem 25 of Section 2.4, you bail out of a helicopter and immediately open your parachute, so your downward velocity satisfies the initial value problem dv dt = 32-1.6v, v (0) = 0 (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 approx- imate v-values to three decimal places. What percentage of the limiting velocity 20 ft/s has been attained after 1 second? After 2 seconds?

25. Falling parachutist As in Problem 25 of Section 2.4, you bail out of a helicopter and immediately open your parachute, so your downward velocity satisfies the initial value problem dv dt = 32-1.6v, v (0) = 0 (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 approx- imate v-values to three decimal places. What percentage of the limiting velocity 20 ft/s has been attained after 1 second? After 2 seconds?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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25. Falling parachutist As in Problem 25 of Section 2.4, you bail out of a helicopter and immediately open your parachute, so your downward velocity satisfies the initial value problem dv = 32 – 1.6v, v (0) = 0 dt (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 approx- imate v-values to three decimal places. What percentage of the limiting velocity 20 ft/s has been attained after 1 second? After 2 seconds?
Transcribed Image Text:25. Falling parachutist As in Problem 25 of Section 2.4, you bail out of a helicopter and immediately open your parachute, so your downward velocity satisfies the initial value problem dv = 32 – 1.6v, v (0) = 0 dt (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 approx- imate v-values to three decimal places. What percentage of the limiting velocity 20 ft/s has been attained after 1 second? After 2 seconds?
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