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Module G-Assimilate and Apply Apoge Perigee 1. As a spacecraft orbits the earth, it is said to be at its apogee when it is farthest above the earth's surface and at its perigee when it is closest to the earth's surface. The graph below models the satellite's approximate distance in kilometers from the surface of the earth at time t minutes. km a. At what times is the satellite at its apogee? How far from the earth's surface is it at this time? 960 840 720 b. At what times is the satellite at its perigee? How far from the earth's surface is it at this time? 600 480 C. State the period and amplitude of the function 360 240 d. Write a cosine function that models the situation. 120 e. Write a sine function that models the situation. times (minutes 30 60 90 120 150 180 2. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, he noticed a dead fish caught on one of the paddles. As the wheel turned, the distance, d, that the fish was from the water's surface was a sinusoidal function of time. When his stopwatch read 4 seconds, the fish was at its highest, 16 feet above the water's surface. It took another 10 seconds before the fish reached that height again. The diameter of the wheel was 18 feet. a. Sketch a graph. b. Write an equation. Show work to support your answer. C. How far above the surface was the point when Mark's stopwatch read: 17 seconds. Show work to support your answer 3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeled graph. a. f(x) = -10 sin TX - 6 10 b. f(x) = -3 cos 4 (x -) + 2 Draw a careful graph of each function and describe its properties in detail. y = 2 tan TX b. y = 6 csc() + 3 4. a.

Module G-Assimilate and Apply Apoge Perigee 1. As a spacecraft orbits the earth, it is said to be at its apogee when it is farthest above the earth's surface and at its perigee when it is closest to the earth's surface. The graph below models the satellite's approximate distance in kilometers from the surface of the earth at time t minutes. km a. At what times is the satellite at its apogee? How far from the earth's surface is it at this time? 960 840 720 b. At what times is the satellite at its perigee? How far from the earth's surface is it at this time? 600 480 C. State the period and amplitude of the function 360 240 d. Write a cosine function that models the situation. 120 e. Write a sine function that models the situation. times (minutes 30 60 90 120 150 180 2. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, he noticed a dead fish caught on one of the paddles. As the wheel turned, the distance, d, that the fish was from the water's surface was a sinusoidal function of time. When his stopwatch read 4 seconds, the fish was at its highest, 16 feet above the water's surface. It took another 10 seconds before the fish reached that height again. The diameter of the wheel was 18 feet. a. Sketch a graph. b. Write an equation. Show work to support your answer. C. How far above the surface was the point when Mark's stopwatch read: 17 seconds. Show work to support your answer 3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeled graph. a. f(x) = -10 sin TX - 6 10 b. f(x) = -3 cos 4 (x -) + 2 Draw a careful graph of each function and describe its properties in detail. y = 2 tan TX b. y = 6 csc() + 3 4. a.

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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Module G-Assimilate and Apply Арogee YPerigee 1. As a spacecraft orbits the earth, it is said to be at its apogee when it is farthest above the earth's surface and at its perigee when it is closest to the earth's surface. The graph below models the satellite's approximate distance in kilometers from the surface of the earth at time t minutes. km a. At what times is the satellite at its apogee? How far from the earth's surface is it at this time? 960 840 720 b. At what times is the satellite at its perigee? How far from the earth's surface is it at this time? 600 480 C. State the period and amplitude of the function 360 240 d. Write a cosine function that models the situation. 120 e. Write a sine function that models the situation. times (minutes) 30 60 90 120 150 180 2. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, he noticed a dead fish caught on one of the paddles. AS the wheel turned, the distance, d, that the fish was from the water's surface was a sinusoidal function of time. When his stopwatch read 4 seconds, the fish was at its highest, 16 feet above the water's surface. It took another 10 seconds before the fish reached that height again. The diameter of the wheel was 18 feet. a. Sketch a graph. b. Write an equation. Show work to support your answer. c. How far above the surface was the point when Mark's stopwatch read: 17 seconds. Show work to support your answer 3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeled graph. a. f(x) = -10 sin * – 6 10 b. f(x) = -3 cos [4 (x -)+: Draw a careful graph of each function and describe its properties in detail. a. y = 2 tan nx b. y = 6 csc() +3 Ci Y = sin1x 4.
Transcribed Image Text:Module G-Assimilate and Apply Арogee YPerigee 1. As a spacecraft orbits the earth, it is said to be at its apogee when it is farthest above the earth's surface and at its perigee when it is closest to the earth's surface. The graph below models the satellite's approximate distance in kilometers from the surface of the earth at time t minutes. km a. At what times is the satellite at its apogee? How far from the earth's surface is it at this time? 960 840 720 b. At what times is the satellite at its perigee? How far from the earth's surface is it at this time? 600 480 C. State the period and amplitude of the function 360 240 d. Write a cosine function that models the situation. 120 e. Write a sine function that models the situation. times (minutes) 30 60 90 120 150 180 2. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, he noticed a dead fish caught on one of the paddles. AS the wheel turned, the distance, d, that the fish was from the water's surface was a sinusoidal function of time. When his stopwatch read 4 seconds, the fish was at its highest, 16 feet above the water's surface. It took another 10 seconds before the fish reached that height again. The diameter of the wheel was 18 feet. a. Sketch a graph. b. Write an equation. Show work to support your answer. c. How far above the surface was the point when Mark's stopwatch read: 17 seconds. Show work to support your answer 3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeled graph. a. f(x) = -10 sin * – 6 10 b. f(x) = -3 cos [4 (x -)+: Draw a careful graph of each function and describe its properties in detail. a. y = 2 tan nx b. y = 6 csc() +3 Ci Y = sin1x 4.
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