nt The position of a particle as it moves horizontally is described by the given equation s(t) = 12 sin +15. If s is the displacement, in metres, and t is the time, in seconds, do the following:

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 3E
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The position of a particle as it moves horizontally is described by
the given equation s(t) = 12 sin +15. If s is the displacement,
in metres, and t is the time, in seconds, do the following:
Transcribed Image Text:nt The position of a particle as it moves horizontally is described by the given equation s(t) = 12 sin +15. If s is the displacement, in metres, and t is the time, in seconds, do the following:
b. Estimate the value for the instantaneous rate of change of
s(t) at t = 10 s
c. What physical quantity does the instantaneous rate of
change represent?
d. When do you expect the instantaneous rate of change of
s(t) to be the same as t = 14 s? Why?
Transcribed Image Text:b. Estimate the value for the instantaneous rate of change of s(t) at t = 10 s c. What physical quantity does the instantaneous rate of change represent? d. When do you expect the instantaneous rate of change of s(t) to be the same as t = 14 s? Why?
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