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The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-1²) mi/hr for 0 ≤t≤3 hr. Assume that s(0) = 0. a. Determine the position function for 0 st≤ 3. b. How far does the airplane travel in the first 2 hr? c. How far has the airplane traveled at the instant its velocity reaches 500 mi/hr?

The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-1²) mi/hr for 0 ≤t≤3 hr. Assume that s(0) = 0. a. Determine the position function for 0 st≤ 3. b. How far does the airplane travel in the first 2 hr? c. How far has the airplane traveled at the instant its velocity reaches 500 mi/hr?

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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The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-1²) mi/hr for 0 ≤t≤3 hr. Assume that s(0) = 0. a. Determine the position function for 0 st≤ 3. b. How far does the airplane travel in the first 2 hr? c. How far has the airplane traveled at the instant its velocity reaches 500 mi/hr?
Transcribed Image Text:The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-1²) mi/hr for 0 ≤t≤3 hr. Assume that s(0) = 0. a. Determine the position function for 0 st≤ 3. b. How far does the airplane travel in the first 2 hr? c. How far has the airplane traveled at the instant its velocity reaches 500 mi/hr?
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