The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber in a car) is often modeled by the product of an exponential function and a sine or cosine...

The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber in 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) = 2e –1.5t sin 2pt where is measured in centimeters and in seconds. Find the velocity after seconds and graph both the position and velocity functions for 0 < t=""><>