The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber on a car) is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion of a point on such a spring is $$s(t) = 3 e^{-2.2 t}\sin(2 \pi t)$$ where $s$ is measured in centimeters and $t$ is measured in seconds. Find the velocity of the point after $t$ seconds.

$v(t)$ =

Graph both the position and the velocity function for $0 \leq t \leq 3$ and put a "1" in the box when you are done