A spider rests on the blade of a ceiling fan, as shown in the figures. A stopwatch is started, at which point the time is t= 0 seconds. When t=0, the spider is at its maximum distance from the wall, 2.5 m away from the wall (Figure 1). The spider first reaches its minimum distance from the wall, 1.5 m away from the wall, when t = 1 second (Figure 2). When t=2 seconds, the spider is back to its maximum distance from the wall. The spider continues to move in a circle, so that the spider's distance from the wall over time can be modeled by a sinusoidal function. Let f(t) be the distance between the spider and the wall 1 seconds after starting the stopwatch. (a) Graph the function y=f (t) that models the distance between the spider and the wall. • First choose the appropriate starting graph from the ones below. • Then transform it to make a graph that shows the distance between the spider and the wall from the stopwatch data. 2.5 m * * Figure 1: = 0 1,5 m Figure 2: = 1
A spider rests on the blade of a ceiling fan, as shown in the figures. A stopwatch is started, at which point the time is t= 0 seconds. When t=0, the spider is at its maximum distance from the wall, 2.5 m away from the wall (Figure 1). The spider first reaches its minimum distance from the wall, 1.5 m away from the wall, when t = 1 second (Figure 2). When t=2 seconds, the spider is back to its maximum distance from the wall. The spider continues to move in a circle, so that the spider's distance from the wall over time can be modeled by a sinusoidal function. Let f(t) be the distance between the spider and the wall 1 seconds after starting the stopwatch. (a) Graph the function y=f (t) that models the distance between the spider and the wall. • First choose the appropriate starting graph from the ones below. • Then transform it to make a graph that shows the distance between the spider and the wall from the stopwatch data. 2.5 m * * Figure 1: = 0 1,5 m Figure 2: = 1
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Please see attached for PartA.
Part B) Write an equation for f(t). Do not use an approximation for pi. Thank you.
Transcribed Image Text:A spider rests on the blade of a ceiling fan, as shown in the figures. A stopwatch is
started, at which point the time is t = 0 seconds. When t=0, the spider is at its
maximum distance from the wall, 2.5 m away from the wall (Figure 1). The spider first
reaches its minimum distance from the wall, 1.5 m away from the wall, when t=1
second (Figure 2). When t=2 seconds, the spider is back to its maximum distance from
the wall. The spider continues to move in a circle, so that the spider's distance from the
wall over time can be modeled by a sinusoidal function.
Let f(t) be the distance between the spider and the wall & seconds after starting the
stopwatch.
(a) Graph the function y=f (t) that models the distance between the spider and the
wall.
• First choose the appropriate starting graph from the ones below.
• Then transform it to make a graph that shows the distance between the
spider and the wall from the stopwatch data.
2.5 m
Figure 1: 0
Figure 2: = 1
1,5 m
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