Find the decomposition of a(t) into tangential and normal components at the point indicated, as in Example 6 r(t) (e t , 1 t), t 0 EXAMPLE 6 For r(t) (1,2t, Int), determine the acceleration a(r) At t 1, decom pose the acceleration vector into tangential and normal components, and find the curva tur...

We have At t 0 this gives Therefore and by Eq 2 in the text Next ...

Find the decomposition of a(t) into tangential and normal components at the point indicated, as in Example

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Find the decomposition of a(t) into tangential and normal components at the point indicated, as in Example 6.

EXAMPLE 6 For r(t) = (,2t, Int), determine the acceleration a(r). At t = 1, decom- pose the acceleration

r(t) = (e^t, 1 − t), t = 0

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Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Find the decomposition of a(t) into tangential and normal components at the point indicated, as in Example

Question:

EXAMPLE 6 For r(t)= (1,2t, Int), determine the acceleration a(r). At t = 1, decom- pose the acceleration vector into tangential and normal components, and find the curva- ture of the path (Figure 8). * a=-2T+4N

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We have At t 0 this gives Therefore and by Eq 2 in the text Next ...View the full answer

Calculus

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