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

r(t) = (4-t,t + 1,), t = 2


EXAMPLE 6 For r(t)= (1,2t, Int), 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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