
(a)
To find: The amplitude, period, and frequency of the motion.
(a)

Answer to Problem 10E
The amplitude, period, and frequency of the motion is
Explanation of Solution
Given Information:
The function model displacement of an object is,
Concept used:
The standard form of the simple harmonic motion is given by,
The angular velocity is given by:
The function of the simple harmonic motion in time period term is given by,
The function of the simple harmonic motion is givenby,
The function model displacement of an object is,
Compare both the equation to obtain,
The frequency of the motion is calculated as,
Thus, the amplitude, period, and frequency of the motion is
(b)
To find: The sketch of the motion.
(b)

Explanation of Solution
Given Information:
The function model displacement of an object is,
The function model displacement of an object is,
Consider the following graph of the displacement of the object over one complete cycle,
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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