A hang glider is spiraling upward due to rapidly rising air along the curve r(t) = (3 cos t, 3 sin t, t). Find the times, if any, when the glider's acceleration is orthogonal to its velocity. Select one: O a.t = 0 |3D b. v and a are always orthogonal. O c.t= =k-,where k is any integer 4 O d. v and a are never orthogonal. e. t = - and t = T

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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A hang glider is spiraling upward due to rapidly rising air along the curve
r(t) = (3 cos t, 3 sin t, t). Find the times, if any, when the glider's
acceleration is orthogonal to its velocity.
Select one:
O a.t = 0
|3D
b. v and a are always orthogonal.
O c.t=
=k-,where k is any integer
4
O d. v and a are never orthogonal.
e. t = - and t = T
Transcribed Image Text:A hang glider is spiraling upward due to rapidly rising air along the curve r(t) = (3 cos t, 3 sin t, t). Find the times, if any, when the glider's acceleration is orthogonal to its velocity. Select one: O a.t = 0 |3D b. v and a are always orthogonal. O c.t= =k-,where k is any integer 4 O d. v and a are never orthogonal. e. t = - and t = T
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