Chapter 11.1, Problem 11.4P

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 $x=60e^{-4.8t}$ sin 16t, where x and t are expressed in millimeters and seconds, respectively. Determine the position, the velocity, and the acceleration of the railroad car when (a) $t=0$ , (b) $t=0.3$ s.