Higher-Order Derivatives

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The acceleration of a particle is given by $a(t) = (t^2 - 4t + 2)e^{-t}$ . Determine the jerk (third derivative of position) at time $t = 1$ .

A.-\frac{3}{e}

B.-\frac{2}{e}

C.\frac{1}{e}

D.-\frac{1}{e}

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