Posted by Robin on .
The motion of a spring that is subject to dampening (such as a car's shock absorber)is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion for a point on such a spring is
s(t)=3∗e^(−2t)sin(3ðt)
where t is given in seconds.
a. Find the velocity of the point after t seconds.
v = .
b. Graph the velocity function and find the first time the velocity is 0.
t =

Calculus 
Steve,
for velocity, just take the derivative:
v(t) = 3e^(2t) (2sin 3πt  3πcos 3πt)