Write a in the form $a = a_T T + a_N N$ at the given value of t without finding T and N. $r(t) = (3t + 5)i + (2t)j + (-t^2)k$, $t = -3$ $a = \boxed{}T + \boxed{}N$ (Type exact answers, using radicals as needed.)
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Step 1: First, we find the velocity vector $v(t)$ by taking the derivative of $r(t)$ with respect to $t$: $v(t) = \frac{dr}{dt} = 3i + 2j - 2tk$ Show more…
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