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11. The depth of water in a harbour varies as a function of time. The maximum depth is 9 feet and the minimum depth is 1 foot. The depth can be modelled with a sinusoidal function that has a period of 12 hours. If the depth is 5 feet at 12 midnight, and is increasing, a. Create an algebraic model to predict the depth of the water as a function of time. Justify your reasoning. [T4] [C2] b. The water must be at least 7 feet for Annie's fishing boat to safely navigate the harbour. She wants to enter the harbour during the afternoon. i. Create a graph of this function using technology. [T2] ii. What is the earliest time she can enter the harbour? [T2] iii. How long can she safely stay in the harbour? [T2]

11. The depth of water in a harbour varies as a function of time. The maximum depth is 9 feet and the minimum depth is 1 foot. The depth can be modelled with a sinusoidal function that has a period of 12 hours. If the depth is 5 feet at 12 midnight, and is increasing, a. Create an algebraic model to predict the depth of the water as a function of time. Justify your reasoning. [T4] [C2] b. The water must be at least 7 feet for Annie's fishing boat to safely navigate the harbour. She wants to enter the harbour during the afternoon. i. Create a graph of this function using technology. [T2] ii. What is the earliest time she can enter the harbour? [T2] iii. How long can she safely stay in the harbour? [T2]

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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11. The depth of water in a harbour varies as a function of time. The maximum depth is 9 feet and the minimum depth is 1 foot. The depth can be modelled with a sinusoidal function that has a period of 12 hours. If the depth is 5 feet at 12 midnight, and is increasing, a. Create an algebraic model to predict the depth of the water as a function of time. Justify your reasoning. [T4] [C2] b. The water must be at least 7 feet for Annie's fishing boat to safely navigate the harbour. She wants to enter the harbour during the afternoon. i. Create a graph of this function using technology. [T2] ii. What is the earliest time she can enter the harbour? [T2] iii. How long can she safely stay in the harbour? [T2]
Transcribed Image Text:11. The depth of water in a harbour varies as a function of time. The maximum depth is 9 feet and the minimum depth is 1 foot. The depth can be modelled with a sinusoidal function that has a period of 12 hours. If the depth is 5 feet at 12 midnight, and is increasing, a. Create an algebraic model to predict the depth of the water as a function of time. Justify your reasoning. [T4] [C2] b. The water must be at least 7 feet for Annie's fishing boat to safely navigate the harbour. She wants to enter the harbour during the afternoon. i. Create a graph of this function using technology. [T2] ii. What is the earliest time she can enter the harbour? [T2] iii. How long can she safely stay in the harbour? [T2]
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