---
title: "An object attached to an ideal horizontal spring undergoes simple harmonic motion on a frictionless surface with a period of \\(6.0\\text{ s}\\). At time \\(t = 0\\), the object is released from rest at position \\(x = +0.40\\text{ m}\\), where \\(x = 0\\) is the equilibrium position. At what time \\(t\\) does the object first reach position \\(x = +0.20\\text{ m}\\)?"
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url: "https://nerd-notes.com/ubq/120975/"
date_modified: "2026-08-23T04:44:54+00:00"
---

# An object attached to an ideal horizontal spring undergoes simple harmonic motion on a frictionless surface with a period of \(6.0\text{ s}\). At time \(t = 0\), the object is released from rest at position \(x = +0.40\text{ m}\), where \(x = 0\) is the equilibrium position. At what time \(t\) does the object first reach position \(x = +0.20\text{ m}\)?

An object attached to an ideal horizontal spring undergoes simple harmonic motion on a frictionless surface with a period of \(6.0\text{ s}\). At time \(t = 0\), the object is released from rest at position \(x = +0.40\text{ m}\), where \(x = 0\) is the equilibrium position. At what time \(t\) does the object first reach position \(x = +0.20\text{ m}\)?

- **A.** \(0.38\text{ s}\)
- **B.** \(0.50\text{ s}\)
- **C.** \(0.75\text{ s}\)
- **D.** \(1.0\text{ s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120975/*