Trigonometry Question
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Grade 11 Trigonometry CCSS: HSF-TF.B.5
A buoy bobs up and down in the water with simple harmonic motion. At rest (its average position), the buoy’s height is 0.5 meters above the base of a dock piling. During a storm, it moves a maximum of 0.3 meters above and below this average position. It completes one full up-and-down cycle every 4 seconds. When timing starts (t=0seconds), the buoy is at its average height and moving upward.
Write a trigonometric function H(t) for the buoy's height (in meters) relative to the dock piling base, and find its height at t=1.5 seconds.
Write a trigonometric function H(t) for the buoy's height (in meters) relative to the dock piling base, and find its height at t=1.5 seconds.
- 0.71 m
- 0.50 m
- 0.29 m
- 0.65 m
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