The Displacement D (In Meters) of an Object at Time $$d = 6 \sin ( 5 t )$$

question 54

Multiple Choice

The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the
maximum displacement from its resting position, the time required for one oscillation, and the frequency?
- $$d = 6 \sin ( 5 t )$$

• A) simple harmonic; \(- 6 \mathrm {~m} ; \frac { 2 } { 5 } \pi \mathrm { sec } ; \frac { 5 } { 2 \pi }\) oscillations/sec
• B) simple harmonic; \(6 \mathrm {~m} ; \frac { 5 } { 2 \pi } \mathrm { sec } ; \frac { 2 } { 5 } \pi\) oscillations/sec
• C) simple harmonic; \(6 \mathrm {~m} ; \frac { 2 } { 5 } \pi \mathrm { sec } ; \frac { 5 } { 2 \pi }\) oscillations/sec
• D) simple harmonic; \(6 \mathrm {~m} ; 5 \pi \mathrm { sec } ; \frac { 5 } { \pi }\) oscillations/sec

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Definitions:

Flotation Costs

The administrative cost of issuing new securities. Consists largely of commissions and marketing fees, but printing and engraving costs can also be significant.

Retained Earnings

The portion of a company's profits that is kept or retained rather than paid out as dividends to shareholders.

Flotation Costs

Expenses incurred by a company in issuing new securities, including underwriting, legal, and registration fees.

Capital Gains

The profit earned from the sale of assets or investments when the selling price exceeds the purchase price.