---
title: "A particle moves along the x-axis with a velocity given as a function of time by \\(v(t) = v_0 \\cos(\\omega t)\\), where \\(v_0\\) and \\(\\omega\\) are positive constants. Which of the following expressions represents the total distance traveled by the particle during one full period of oscillation from \\(t = 0\\) to \\(t = \\dfrac{2\\pi}{\\omega}\\)?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/117536/"
date_modified: "2026-08-04T07:48:56+00:00"
---

# A particle moves along the x-axis with a velocity given as a function of time by \(v(t) = v_0 \cos(\omega t)\), where \(v_0\) and \(\omega\) are positive constants. Which of the following expressions represents the total distance traveled by the particle during one full period of oscillation from \(t = 0\) to \(t = \dfrac{2\pi}{\omega}\)?

A particle moves along the x-axis with a velocity given as a function of time by \(v(t) = v_0 \cos(\omega t)\), where \(v_0\) and \(\omega\) are positive constants. Which of the following expressions represents the total distance traveled by the particle during one full period of oscillation from \(t = 0\) to \(t = \dfrac{2\pi}{\omega}\)?

- **A.** \(\dfrac{4v_0}{\omega}\)
- **B.** \(\dfrac{2v_0}{\omega}\)
- **C.** \(\dfrac{v_0}{\omega}\)
- **D.** \(0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117536/*