Answer:
Option C - 4.62 seconds
Step-by-step explanation:
Given : An object is attached to a spring that is stretched and released. The equation [tex]d=-8\cos(\frac{\pi}{6} t)[/tex] models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds.
To find : When will the object be 6 inches above the rest position?
Solution :
We have given the model,
[tex]d=-8\cos(\frac{\pi}{6} t)[/tex]
Where, d is the distance of the object in inches above or below the rest position and t is a function of time in seconds.
We have to find the time at which the object be 6 inches above the rest position i.e, for d=6.
Firstly we plot the graph of the given model,
Refer the attached graph below.
Now, the object be 6 inches above the rest position i.e, for d=6.
The time is t=4.62 seconds.
Therefore, Option C is correct.
