please help. FOR PART 2: (a). Graph the position function for 0 ? t ? 2. (b). Gr

Question

please help.

FOR PART 2:

(a). Graph the position function for 0 ? t ? 2.

(b).Graph the velocity function for 0 ? t ? 2.

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-2t sin 2 pi t where s is measured in centimeters and t in seconds. Find the velocity after t seconds. v(t) =

Explanation / Answer

Part 1. [4*e^(-2t)][(pi*(cos(2*pi*t)))-(sin(2*pi*t))]

Part 2: a. http://www.wolframalpha.com/input/?i=graph+of+%5B2e%5E%28-2t%29%5D*%5Bsin%282*pi*t%29%5D+t+from+0+to+2 (x axis is the time, y axis is the position)

b. http://www.wolframalpha.com/input/?i=graph+of+%5B4*e%5E%28-2t%29%5D%5B%28pi*%28cos%282*pi*t%29%29%29-%28sin%282*pi*t%29%29%5D+t+from+0+to+2 (x axis is the time, y axis is the velocity)

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