Find the tangential and normal components of the acceleration vector for the curve r(t) = ( −5t, 4t³, −5ť²) at the point t = −2
Find the tangential and normal components of the acceleration vector for the curve r(t) = ( −5t, 4t³, −5ť²) at the point t = −2
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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Transcribed Image Text:Find the tangential and normal components of the acceleration vector for the curve
r(t) = ( −5t, 4t³, −5+²) at the point t = -2
T +
a(-2) =
N
Give your answers to two decimal places

Transcribed Image Text:For the curve defined by
r(t) = (etcos(t), e²¹ sin(t))
find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at
ㅠ
t
3
ㅠ
T
3
Ñ (7)
N
3
ат
an =
=
=
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