Answer:
Second option
Step-by-step explanation:
If it takes 2 seconds for a spring to complete a cycle, the period is 2 so use the period equation.
[tex] \frac{2\pi}{ |b| } = 2[/tex]
Solve for b.
[tex]2\pi \times \frac{1}{2} = b[/tex]
[tex]\pi = b[/tex]
So the Value of b is pi. So that leaves us only 2 and 5th option.
Know we need to find amplitude.
The amplitude should be half of the total distance between the highest and lowest point so the answer is
[tex] \frac{5}{2} = 2.5 = a[/tex]
So the equation should be
[tex]2.5 \sin(\pi(t)) [/tex]
