IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.
The function that best models the position of the weight is s(t) = 6cos (pi/2*t).
From the information, we know that the spring is going to have a sin or a cos equation.
We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. We have that the function is of the form 6sin(at+B).
We have that the period is 4 minutes and therefore that the time component in the equation needs to make a period (2pi) in 4 minutes.
In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6.
Substituting, we have s(t) = 6cos (pi/2*t).
Learn more about functions on:
https://brainly.com/question/25638609
#SPJ1