Find Components of the Acceleration For the curve defined by F(t)= (e-¹, 3t, et) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = 2. T(t) = Ñ(t) = at = aN =
Find Components of the Acceleration For the curve defined by F(t)= (e-¹, 3t, et) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = 2. T(t) = Ñ(t) = at = aN =
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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![**Find Components of the Acceleration**
For the curve defined by
\[
\vec{r}(t) = \langle e^{-t}, 3t, e^{t} \rangle
\]
find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at \( t = 2 \).
\[
\vec{T}(t) = \, \_\_\_
\]
\[
\vec{N}(t) = \, \_\_\_
\]
\[
a_T = \, \_\_\_
\]
\[
a_N = \, \_\_\_
\]
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Transcribed Image Text:**Find Components of the Acceleration**
For the curve defined by
\[
\vec{r}(t) = \langle e^{-t}, 3t, e^{t} \rangle
\]
find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at \( t = 2 \).
\[
\vec{T}(t) = \, \_\_\_
\]
\[
\vec{N}(t) = \, \_\_\_
\]
\[
a_T = \, \_\_\_
\]
\[
a_N = \, \_\_\_
\]
[Submit Question]
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