I need help with this problem and an explanation of why its the answer described below: The position x of an object varies with time t. For which of the following equations relating x and t is the motion of the object simple harmonic motion?(There may be more than one correct choice.)O x = 5 sin²3tOx 8 cos (3t+x)O x = 4 tan 2tOx 5 sin (3t+0)=x= =2 cos²(3t-1)

Simple harmonic motion (SHM) is characterized by an oscillatory motion where the acceleration is…

Answered: The position x of an object varies with…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 12OQ

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The expression x = 8.50 cos (2.40 t + /2) describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the a. frequency, b. period, c. amplitude, and d. initial phase of the objects motion? e. What is the position of the particle at t = 1.45 s?
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The position x of an object varies with time t. For which of the following equations relating x and t is the motion of the object simple harmonic motion? (There may be more than one correct choice.) O x = 5 sin²3t Ox 8 cos (3t+x) O x = 4 tan 2t Ox 5 sin (3t+0) = x= =2 cos²(3t-1)