---
title: "A small particle of mass \\(m\\) and positive charge \\(q\\) moves along the \\(x\\)-axis in a region where the electric potential is given by \\(V(x) = C x^4\\), where \\(C > 0\\) is a constant and \\(V(0) = 0\\). The particle is released from rest at position \\(x = x_0\\). Assuming no non-conservative forces act on the particle, which of the following graphs best represents the particle’s velocity \\(v\\) as a function of position \\(x\\) during one full oscillation between \\(x = -x_0\\) and \\(x = x_0\\)?"
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url: "https://nerd-notes.com/ubq/118154/"
date_modified: "2026-08-04T08:05:32+00:00"
---

# A small particle of mass \(m\) and positive charge \(q\) moves along the \(x\)-axis in a region where the electric potential is given by \(V(x) = C x^4\), where \(C > 0\) is a constant and \(V(0) = 0\). The particle is released from rest at position \(x = x_0\). Assuming no non-conservative forces act on the particle, which of the following graphs best represents the particle’s velocity \(v\) as a function of position \(x\) during one full oscillation between \(x = -x_0\) and \(x = x_0\)?

A small particle of mass \(m\) and positive charge \(q\) moves along the \(x\)-axis in a region where the electric potential is given by \(V(x) = C x^4\), where \(C > 0\) is a constant and \(V(0) = 0\). The particle is released from rest at position \(x = x_0\). Assuming no non-conservative forces act on the particle, which of the following graphs best represents the particle's velocity \(v\) as a function of position \(x\) during one full oscillation between \(x = -x_0\) and \(x = x_0\)?

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118154/*