The Displacement D (In Meters) of an Object at Time $d = - 2 \sin ( 5 t )$

question 3

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?
- $d = - 2 \sin ( 5 t )$

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

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Definitions:

Exponentiation

A mathematical operation, written as a^b, involving two numbers, the base (a) and the exponent (b), where the base is multiplied by itself the exponent number of times.

Division

The process of assigning or distributing something into separate parts or groups.

Equation Complexity

A measure of the difficulty or intricacy of a mathematical equation, often based on the number of operations or variables involved.

Exponential Functions

Mathematical functions characterized by an expression in which a constant base is raised to a variable exponent.