5.09 HC) A message in a bottle is floating on top of the ocean in a...

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5.09 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 26 seconds, and the average height of the bottle is 12 feet. The bottle moves in a manner such that the distance from the highest and lowest point is 6 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) D A = 18 5.09 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 26 seconds, and the average height of the bottle is 12 feet. The bottle moves in a manner such that the distance from the highest and lowest point is 6 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) D A = 18