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NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part. A loaded railroad car is rolling at a constant velocity when it couples with a spring and dashpot bumper system. After the coupling, the motion of the car is defined by the relation $x=60e^{-4\mathrm{.}8t}sin16t,$ where $x$ and $t$ are expressed in millimeters and seconds, respectively.

Determine the position, velocity, and acceleration of the railroad car when $t=0\mathrm{.}3s.$

The position, velocity, and acceleration of the railroad car when $t=0\mathrm{.}3s$ are $mm,m\frac{m}{s},$ and $-903\mathrm{.}517m\frac{m}{s^2},$ respectively.