A body is spiraling upward due to rapidly rising air on a path similar to that of a helix and having sition vector r(t) =(6 cost)i+ (6sin t)j + t² k. for 0sts 2n.Find 1- The velocity and acceleration vectors, 2- The glider speed at any time t, 3- The times, if any, when there is orthogonality between acceleration and velocity.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
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Q A body is spiraling upward due to rapidly rising air on a path similar to that of a helix and having
position vector r(t) = (6 cost)i+ (6sin t)j + t2 k. for 0 sts 2n.Find
1- The velocity and acceleration vectors,
2- The glider speed at any time t,
3- The times, if any, when there is orthogonality between acceleration and velocity.
Transcribed Image Text:Q A body is spiraling upward due to rapidly rising air on a path similar to that of a helix and having position vector r(t) = (6 cost)i+ (6sin t)j + t2 k. for 0 sts 2n.Find 1- The velocity and acceleration vectors, 2- The glider speed at any time t, 3- The times, if any, when there is orthogonality between acceleration and velocity.
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