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You bail out of a helicopter and immediately pull the ripcord of your parachute. Your downward velocity satisfies the following initial value problem, with t in seconds and v in ft/sec. Use Euler's method to approximate the solution for 0≤t≤2, first with step size h = 0.01 and then with h=0.005, rounding off approximate values to one decimal place. What percentage of the limiting velocity 16.8 ft/sec has been attained after 1 second? 2 seconds? dv dt =32-1.9v, v(0) = 0 ← Euler's method with h = 0.01 shows that about % of the limiting velocity has been attained after 1 second and about % of the limiting velocity has been attained after 2 seconds. With h = 0.005, the method shows that about % of the limiting velocity has been attained after 1 second and about [ % of the limiting velocity has been attained after 2 seconds. (Round to the nearest whole number as needed.)

You bail out of a helicopter and immediately pull the ripcord of your parachute. Your downward velocity satisfies the following initial value problem, with t in seconds and v in ft/sec. Use Euler's method to approximate the solution for 0≤t≤2, first with step size h = 0.01 and then with h=0.005, rounding off approximate values to one decimal place. What percentage of the limiting velocity 16.8 ft/sec has been attained after 1 second? 2 seconds? dv dt =32-1.9v, v(0) = 0 ← Euler's method with h = 0.01 shows that about % of the limiting velocity has been attained after 1 second and about % of the limiting velocity has been attained after 2 seconds. With h = 0.005, the method shows that about % of the limiting velocity has been attained after 1 second and about [ % of the limiting velocity has been attained after 2 seconds. (Round to the nearest whole number as needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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You bail out of a helicopter and immediately pull the ripcord of your parachute. Your downward velocity satisfies the following initial value problem, with t in seconds and v in ft/sec. Use Euler's method to approximate the solution for 0≤t≤2, first with step size h = 0.01 and then with h=0.005, rounding off approximate values to one decimal place. What percentage of the limiting velocity 16.8 ft/sec has been attained after 1 second? 2 seconds? dv dt = 32-1.9v, v(0) = 0 ← Euler's method with h = 0.01 shows that about % of the limiting velocity has been attained after 1 second and about % of the limiting velocity has been attained after 2 seconds. With h = 0.005, the method shows that about % of the limiting velocity has been attained after 1 second and about % of the limiting velocity has been attained after 2 seconds. (Round to the nearest whole number as needed.)
Transcribed Image Text:You bail out of a helicopter and immediately pull the ripcord of your parachute. Your downward velocity satisfies the following initial value problem, with t in seconds and v in ft/sec. Use Euler's method to approximate the solution for 0≤t≤2, first with step size h = 0.01 and then with h=0.005, rounding off approximate values to one decimal place. What percentage of the limiting velocity 16.8 ft/sec has been attained after 1 second? 2 seconds? dv dt = 32-1.9v, v(0) = 0 ← Euler's method with h = 0.01 shows that about % of the limiting velocity has been attained after 1 second and about % of the limiting velocity has been attained after 2 seconds. With h = 0.005, the method shows that about % of the limiting velocity has been attained after 1 second and about % of the limiting velocity has been attained after 2 seconds. (Round to the nearest whole number as needed.)
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