Determine the Equation of the Graph $\mathrm { s } ( \mathrm { t } ) = - 2 \cos 7 \mathrm { t }$

question 262

Multiple Choice

Determine the equation of the graph.
-The position of a weight attached to a spring is $\mathrm { s } ( \mathrm { t } ) = - 2 \cos 7 \mathrm { t }$ inches after $\mathrm { t }$ seconds. What are the frequency and period of the system?

• A) Frequency \(= \frac { \pi } { 7 }\) cycles per sec, period \(= \frac { 7 } { \pi } \mathrm { sec }\)
• B) Frequency \(= \frac { 7 } { 2 \pi }\) cycles per sec, period \(= \frac { 2 \pi } { 7 } \mathrm { sec }\)
• C) Frequency \(= \frac { 7 } { \pi }\) cycles per sec, period \(= \frac { \pi } { 7 } \mathrm { sec }\)
• D) Frequency \(= 7\) cycles per sec, period \(= \frac { 1 } { 7 } \mathrm { sec }\)