37-40 Pind the tangential and normal compone acceleration vector. 37. r(t)= (t2 + 1) i + 'j, >0 38. rt) = 2r2 i + (Gr- 20) j 2r i+(i-2t) j 39, rt)= cos ti + sin tj + tk cos t i 40. r(t)= ti +2e'j + e2'k 41-42 Find the tangential and normal com acceleration vector at the given point.

37-40 Pind the tangential and normal compone acceleration vector. 37. r(t)= (t2 + 1) i + 'j, >0 38. rt) = 2r2 i + (Gr- 20) j 2r i+(i-2t) j 39, rt)= cos ti + sin tj + tk cos t i 40. r(t)= ti +2e'j + e2'k 41-42 Find the tangential and normal com acceleration vector at the given point.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Question

Find the tangential and normal components of the acceleration vector

#39

37-40 Pind the tangential and normal compone
acceleration vector.
37. r(t)=
(t2 + 1) i + 'j,
>0
38. rt) = 2r2 i + (Gr- 20) j
2r i+(i-2t) j
39, rt)= cos ti + sin tj + tk
cos t i
40. r(t)= ti +2e'j + e2'k
41-42 Find the tangential and normal com
acceleration vector at the given point.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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