An eagle rises in a helical path given by the vector function r(t) =〈250cost, 250sint, 100t〉 where r is measured in feet and t is measured in minutes. How far does it travel in 10 minutes? Find the eagle’s velocity and acceleration vectors when it is directly above its starting position for the first time.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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An eagle rises in a helical path given by the vector function r(t) =〈250cost, 250sint, 100t〉 where r is measured in feet and t is measured in minutes. How far does it travel in 10 minutes? Find the eagle’s velocity and acceleration vectors when it is directly above its starting position for the first time.




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