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The motion of a spring that is subject to a frictional force or a damping force...

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)=7e−1.2tsin(2πt)s(t)=7e−1.2tsin⁡(2πt)

where ss is measured in centimeters and tt is measured in seconds. Find the velocity of the point after tt seconds.

v(t)v(t) =

Graph both the position and the velocity function for 0≤t≤70≤t≤7 and put a "1" in the box when you are done

Math   Calculus   
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