When a spring is stretched and then released, it oscillates according to two laws of physics: Hooke's Law and Netwon's Second Law. These two laws combine to form the following differential equation in the case of free, undamped oscillation: 
where m is the mass of an object attached to the spring, x is the distance the spring is stretched beyond its standard length with the object attached (its equilibrium point) , t is time, and k is a constant associated with the strength of the spring. Consider a spring with 
from which is hung a 68-pound weight. The spring with the weight attached stretches to its equilibrium point. The spring is then pulled 3 feet farther than its equilibrium and released. Write a differential equation describing the acceleration of the spring with respect to time t measured in seconds. Use the fact that 
, where g is the gravitational constant 32 feet per second per second.
Definitions:
Repetition
The act of repeating something, such as information or an action, to emphasize its importance or enhance memory retention.
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The ability to produce original and unusual ideas, or to make something new or imaginative.
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Words or phrases that provide a connection between ideas, sentences, and paragraphs, aiding in the smooth progression of thought.
Temporal Association
A relationship between two events that occur in a sequential manner over a period of time.
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