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Once in motion, a pendulum's distance varies sinusoidally from 12 cm to 2 cm away from a wall every 12 seconds (i.e., from 12 cm away from the wall, to 2 cm away, 12 seconds has elapsed) afce a) Write a sinusoidal function for D (either sin or cosine), the pendulum's distance from the wall, as a function of the time (t, in seconds) since it was furthest from the wall. b) Sketch the pendulum's distance D from the wall over a 1 minute interval as a function of time t. Assume t=0 corresponds to a time when the pendulum was furthest from the wall. c) Find the first three times when the pendulum was 10 cm away from the wall. (Hint: write an equation, AND solve it algebraically.)

Once in motion, a pendulum's distance varies sinusoidally from 12 cm to 2 cm away from a wall every 12 seconds (i.e., from 12 cm away from the wall, to 2 cm away, 12 seconds has elapsed) afce a) Write a sinusoidal function for D (either sin or cosine), the pendulum's distance from the wall, as a function of the time (t, in seconds) since it was furthest from the wall. b) Sketch the pendulum's distance D from the wall over a 1 minute interval as a function of time t. Assume t=0 corresponds to a time when the pendulum was furthest from the wall. c) Find the first three times when the pendulum was 10 cm away from the wall. (Hint: write an equation, AND solve it algebraically.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 9E
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This is not a physics question it’s math (function trig)
Question 5 Once in motion, a pendulum's distance varies sinusoidally from 12 cm to 2 cm away from a wall every 12 seconds (i.e., from 12 cm away from the wall, to 2 cm away, 12 seconds has elapsed) a) Write a sinusoidal function for D (either sin or cosine), the pendulum's distance from the wall, as a function of the time (t, in seconds) since it was furthest from the wall. b) Sketch the pendulum's distance D from the wall over a 1 minute interval as a function of time t. Assume t=0 corresponds to a time when the pendulum was furthest from the wall. c) Find the first three times when the pendulum was 10 cm away from the wall. (Hint: write an equation, AND solve it algebraically.) P
Transcribed Image Text:Question 5 Once in motion, a pendulum's distance varies sinusoidally from 12 cm to 2 cm away from a wall every 12 seconds (i.e., from 12 cm away from the wall, to 2 cm away, 12 seconds has elapsed) a) Write a sinusoidal function for D (either sin or cosine), the pendulum's distance from the wall, as a function of the time (t, in seconds) since it was furthest from the wall. b) Sketch the pendulum's distance D from the wall over a 1 minute interval as a function of time t. Assume t=0 corresponds to a time when the pendulum was furthest from the wall. c) Find the first three times when the pendulum was 10 cm away from the wall. (Hint: write an equation, AND solve it algebraically.) P
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