Simple Harmonic Motion: the Position of an Object That Is

question 24

Essay

Simple harmonic motion: The position of an object that is oscillating on an ideal spring is given by the equation x = (12.3 cm) cos[(1.26s^-1)t]. At time t = 0.815 s,
(a) how fast is the object moving?
(b) what is the magnitude of the acceleration of the object?

---

Definitions:

Sulfur Analogues

Compounds similar in structure to another compound but with sulfur atoms replacing oxygen or nitrogen atoms, often used in medicinal chemistry to adjust the properties of drugs.

Ethers

A class of organic compounds characterized by an oxygen atom connected to two alkyl or aryl groups, used as solvents and in the synthesis of other chemicals.

Diethyl Ether

An organic compound, commonly used as a solvent, with the formula \(C_2H_5OC_2H_5\).

Cyclic Ethers

Organic compounds that contain an ether group (-O-) within a ring structure.