$\"\"$

The object of mass $\"\"$ .

The spring damping factor is $\"\"$

The spring is pull down a distance $\"\"$ and then release it.

The time period $\"\"$ .

$\"\"$

$\"\"$ .

(a) Find the equation that relates the distance $\"\"$ of the object from its rest position after $\"\"$ seconds.

The displacement $\"\"$ of an oscillating object from its at-rest position at time $\"\"$ is $\"\"$ .

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$

Substitute $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

(b)

Graph the function $\"\"$ .

Graph:

$\"\"$

(a) $\"\"$ .

(b) Graph of the function $\"\"$ .

$\"\"$