---
title: "An object attached to an ideal spring undergoes simple harmonic motion along the \\(x\\)-axis. Its position as a function of time \\(t\\) is given by \\(x(t) = A \\cos(\\omega t + \\phi)\\), where \\(A\\), \\(\\omega\\), and \\(\\phi\\) are positive constants. Which of the following expressions represents the acceleration \\(a(t)\\) of the object as a function of time?"
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url: "https://nerd-notes.com/ubq/117574/"
date_modified: "2026-08-04T07:49:10+00:00"
---

# An object attached to an ideal spring undergoes simple harmonic motion along the \(x\)-axis. Its position as a function of time \(t\) is given by \(x(t) = A \cos(\omega t + \phi)\), where \(A\), \(\omega\), and \(\phi\) are positive constants. Which of the following expressions represents the acceleration \(a(t)\) of the object as a function of time?

An object attached to an ideal spring undergoes simple harmonic motion along the \(x\)-axis. Its position as a function of time \(t\) is given by \(x(t) = A \cos(\omega t + \phi)\), where \(A\), \(\omega\), and \(\phi\) are positive constants. Which of the following expressions represents the acceleration \(a(t)\) of the object as a function of time?

- **A.** \(\omega^2 A \cos(\omega t + \phi)\)
- **B.** x(t) = -\omega^2 A \cos(\omega t + \phi)
- **C.** -\omega^2 A \sin(\omega t + \phi)
- **D.** \(\omega^2 A \sin(\omega t + \phi)\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117574/*