Answer:
The maximum displacement from the equilibrium position is 9
Step-by-step explanation:
We are given
equation for the simple harmonic motion equation
[tex]y=9cos(\frac{\pi}{2}t)[/tex]
we can use trig formula
[tex]y=Acos(Bt)[/tex]
The maximum value of this equation is always A
So, firstly, we will compare and find A
A=9
so,
The maximum displacement from the equilibrium position is 9
Answer: 9
Step-by-step explanation:
1. You know that the simple harmonic motion equation is:
[tex]d=9cos(pi/2)(t)[/tex]
2. You have the following trigonometric function of cosine:
[tex]y=acos (b(x-c)+d[/tex]
Where a is the amplitude, or the maximum displacement.
2. Therefore, the maximum displacement from the equilibrium position of the equation given in the problem is 9.
