Question: Find the decomposition of a(t) into tangential and normal components at the point indicated, as in Example 6. EXAMPLE 6 For r(t)= (1,2t, lnt), determine

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

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

EXAMPLE 6 For r(t)= (1,2t, lnt), determine the acceleration a(r). Atr=, 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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