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