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05 09 HC A message in a bottle is floating on top of the ocean...

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05 09 HC A message in a bottle is floating on top of the ocean in a periodic manner The time between periods of maximum heights is 24 seconds and the average height of the bottle is 8 feet The bottle moves in a manner such that the distance from the highest and lowest point is 4 feet A cosine function can model the movement of the message in a bottle in relation to the height Part A Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time t 5 points Part B Assuming that at t 0 the message in a bottle is at its average height and moves upwards after what is the equation of the function that could represent the situation 5 points Part C Based on the graph of the function after how many seconds will it reach its lowest height 5 points

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