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 17.8 ft/sec has been attained after 0.4 second? 1.4 seconds? -=32-1.8v, v(0)=0 dt Euler's method with h=0.01 shows that about 52% of the limiting velocity has been attained after 0.4 second and about [92% of the limiting velocity has been attained after 1.4 seconds. With h=0.005, the method shows that about 51% of the limiting velocity has been attained after 0.4 second and about 92% of the limiting velocity has been attained after 1.4 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 17.8 ft/sec has been attained after 0.4 second? 1.4 seconds? -=32-1.8v, v(0)=0 dt Euler's method with h=0.01 shows that about 52% of the limiting velocity has been attained after 0.4 second and about [92% of the limiting velocity has been attained after 1.4 seconds. With h=0.005, the method shows that about 51% of the limiting velocity has been attained after 0.4 second and about 92% of the limiting velocity has been attained after 1.4 seconds. (Round to the nearest whole number as needed.)
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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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 17.8 ft/sec has been attained after 0.4 second? 1.4 seconds?
dv
dt
= 32-1.8v, v(0) = 0
←
Euler's method with h = 0.01 shows that about 52% of the limiting velocity has been attained after 0.4 second and about 92% of the limiting velocity has been attained after 1.4 seconds. With h = 0.005, the method shows that about 51% of the limiting velocity has been
attained after 0.4 second and about 92% of the limiting velocity has been attained after 1.4 seconds.
(Round to the nearest whole number as needed.)
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