An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically.
The equation of motion is $s(t)=2\cos{t}+3\sin{t}, \; t\geq 0$, where $s$ is measured in centimeters and $t$ in seconds. (We take the positive direction to be downward.)
(a) Find the velocity function.
(b) When does the mass pass through the equilibrium position for the first time?
(c) How far from its equilibrium position does the mass travel?

**For parts (b) and (c), round your answer to the nearest hundredth.

$v(t) =$
$t=$ sec
$d=$ cm