The Displacement from Equilibrium of an Object in Harmonic Motion $y = \frac { 1 } { 4 } \cos 8 t - \frac { 1 } { 3 } \sin 15 t$

question 27

Multiple Choice

The displacement from equilibrium of an object in harmonic motion on the end of a spring is $y = \frac { 1 } { 4 } \cos 8 t - \frac { 1 } { 3 } \sin 15 t$ where $y$ is measured in feet and $t$ is the time in seconds. Determine the position of the object when $t = \pi / 12$ . Round your answer to two decimal places.

• A) \(0.12\) feet
• B) \(0.21\) feet
• C) \(17.53\) feet
• D) \(0.46\) feet
• E) \(0.11\) feet

---

Definitions:

Coffee Prices

Coffee prices refer to the cost of coffee beans in the market, which can fluctuate based on factors like supply and demand, weather conditions, and geopolitical events.

Coffee Surpluses

Occurs when the quantity of coffee produced exceeds the quantity demanded, leading to a decrease in price.

Price Ceiling

A government-imposed limit on how high a price is charged for a product.

Oil Products

Refined products derived from crude oil processing, such as gasoline, diesel, jet fuel, and heating oil.