The velocity of a particle is given by $\vec{v} = \left(11t^2\hat{i} + 5t^3\hat{j} + (3t+2)\hat{k}\right)$ m/s, where $t$ is in seconds.
? Part A
If the particle is at the origin when $t = 0$, determine the magnitude of the particle's acceleration when $t = 4$ s.
Express your answer using three significant figures and include the appropriate units.
$a = 96.71 \frac{m}{s^2}$
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? Part B
Also, what is the $x$, $y$, $z$ coordinate position of the particle at this instant?
Enter the $x$, $y$, and $z$ coordinates using three significant figures separated by commas.
$x, y, z = 234.66, 106.66, 32$ m
