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 18.8 ft/sec has been attained after 0.4 second? 1.4 seconds? dv dt = 32-1.7v, v(0) = 0
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 18.8 ft/sec has been attained after 0.4 second? 1.4 seconds? dv dt = 32-1.7v, v(0) = 0
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 18.8 ft/sec has been attained after 0.4 second? 1.4
seconds?
dv
dt
= 32-1.7v, v(0) = 0
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