Question

An object is attached to a spring that is stretched and released. The equation d= -8COS(pi/6 t) models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.
0 seconds
1.38 seconds
4.62 seconds
8 seconds

Answer 1

The time when the object will be 6 inches above the rest position is C. 4.62 seconds.

How to depict the information?

From the information, the object is attached to a spring and is stretched and released.

The given model is given as:

d = -8 cos (π/6t)

In this case, it's important to plot the graph based on the model given. Therefore, the time when the object will be 6 inches above the rest position is 4.62 seconds.

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