A design team for an electric car company finds that under some conditions the suspension system of the car performs in a way that produces unsatisfactory bouncing of the car. When they perform measurements of the vertical position of the car y as a function of time t under these conditions, they find that it is described by the relationship: y(t) = yoe at coswt) where yo = 0.75 m, a= 0.95s , and w= 6.3s . In order to find the vertical velocity of the car as a function of time we will need to evaluate the derivative of the vertical position with respect to time, or y As a first step, which of the following is an appropriate way to express the function y(t) as a product of two functions? a) y(t) = f(t) · g(t), where f(t) = yoe-at and g(t) = cos(wt).
b) y(t) cannot be expressed as a product of two functions.
c) y(t) = f(t) · g(t), where f(t) = yoe -at cos and g(t) = wt.
d) y(t) = f(t)-g(t), where f(t) = yoe cos(wt) and g(t) = -at.