An Object Is Attached to a Coiled Spring $\mathrm { d } = 6 + 4 \cos 3 \pi \mathrm { t }$

question 246

Multiple Choice

An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) and
then released. Write an equation for the distance of the object from its rest position after t seconds.
- $\mathrm { d } = 6 + 4 \cos 3 \pi \mathrm { t }$ meters

• A) displacement \(= 4\) meters; period \(= \frac { 2 } { 3 }\) seconds; \(\mathrm { f } = \frac { 3 } { 2 }\) oscillations/second
• B) displacement \(= 4\) meters; period \(= \frac { 3 } { 2 }\) seconds; \(\mathrm { f } = \frac { 2 } { 3 }\) oscillations/second
• C) displacement \(= 10\) meters; period \(= \frac { 2 } { 3 } \pi\) seconds; \(\mathrm { f } = \frac { 3 } { 2 \pi }\) oscillations/second
• D) displacement \(= 10\) meters; period \(= \frac { 2 } { 3 }\) seconds; \(\mathrm { f } = \frac { 3 } { 2 }\) oscillations/second

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Definitions:

Lens

A curved piece of glass, plastic, or other transparent materials that refracts light rays, focusing them to form an image or aid in vision correction.

Fovea

A small depression in the retina of the eye where visual acuity is highest, responsible for sharp central vision.

Lens

A transparent optical component that focuses or disperses light rays, used in devices like cameras, glasses, and microscopes.

Transparent Disc

A disc-shaped object made from a material that allows light to pass through it without scattering, making the material itself nearly invisible but still physically present.