Part A 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¯ cos(wt) where yo= 0.75 m, a = 0.95 1/s, and w = 6.3 rad/s. 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, dy or dt -at As a first step, which of the following is an appropriate way to express the function y(t) as a product of two functions? ▸ View Available Hint(s) ○ y(t) cannot be expressed as a product of two functions. . ○ y(t) = f(t) · g(t), where ƒ(t) = Yoe¯ and g(t): -at = = cos(wt). ○ y(t) = f(t) · g(t), where f(t) = you cos(wt) and g(t) = −at. . ○ y(t) = f(t)· g(t), where f(t) = yoe¯ -at cos and g(t) = wt.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Part A
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¯ cos(wt) where yo= 0.75 m, a = 0.95 1/s, and w = 6.3 rad/s. 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,
dy
or
dt
-at
As a first step, which of the following is an appropriate way to express the function y(t) as a product of two functions?
▸ View Available Hint(s)
○ y(t) cannot be expressed as a product of two functions.
.
○ y(t) = f(t) · g(t), where ƒ(t) = Yoe¯ and g(t):
-at
=
= cos(wt).
○ y(t) = f(t) · g(t), where f(t) = you cos(wt) and g(t) = −at.
.
○ y(t) = f(t)· g(t), where f(t) = yoe¯
-at
cos and g(t) = wt.
Transcribed Image Text:Part A 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¯ cos(wt) where yo= 0.75 m, a = 0.95 1/s, and w = 6.3 rad/s. 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, dy or dt -at As a first step, which of the following is an appropriate way to express the function y(t) as a product of two functions? ▸ View Available Hint(s) ○ y(t) cannot be expressed as a product of two functions. . ○ y(t) = f(t) · g(t), where ƒ(t) = Yoe¯ and g(t): -at = = cos(wt). ○ y(t) = f(t) · g(t), where f(t) = you cos(wt) and g(t) = −at. . ○ y(t) = f(t)· g(t), where f(t) = yoe¯ -at cos and g(t) = wt.
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