An object is attached to a spring that is stretched and released. The equation d= -8*cos((pi/6)*t) models the distance, d, of th
e 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.
2 answers:
Answer:
Please see the attached graph for answer.
The object will be at 6 inches above the rest position at approximately 4.62 seconds
Step-by-step explanation:
To easily solve this problem, we only need to graph the equation in a calculator and find the solution at d = 6 inches
We can see in the graph that at t = 4.62 the height is equal to d = 6.001 which is the approximation of the required value.
The graph is cyclic, because it is modeled as an harmonic oscillator without any damping.
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