A Ball That Is Bobbing Up and Down on the End

question 160

Multiple Choice

A ball that is bobbing up and down on the end of a spring has a maximum displacement of 3 inches.Its motion (in ideal conditions) is modeled by
$y = \frac { 1 } { 4 } \cos 18 t ( t > 0 )$
where y is measured in feet and t is the time in seconds.
What is the period of the oscillations ?

• A) \(\frac { 9 } { \pi }\)
• B) \(\frac { 18 } { \pi }\)
• C) \(\frac { \pi } { 18 }\)
• D) \(\frac { \pi } { 2 }\)
• E) \(\frac { \pi } { 9 }\)

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