Problem $11\mathrm{.}004-$ Railroad car

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.

$v_0$

Problem $11\mathrm{.}004.$b $-$ Railroad car

Determine the position, velocity, and acceleration of the railroad car when $t=0\mathrm{.}700s.($Round the position value to three decimal places. Include a minus sign if necessary.$)$

The position, velocity, and acceleration of the railroad car when $t=0\mathrm{.}700s$ are $mm,m\frac{m}{s},$ and $m\frac{m}{s^2},$ respectively.