---
title: "A continuous transverse wave travels in the positive \\(x\\)-direction along a stretched string with a speed of \\(v = 2.0 \\text{ m/s}\\). The graph shows the vertical displacement \\(y\\) of a particle located at position \\(x = 0 \\text{ m}\\) as a function of time \\(t\\). What is the frequency of the wave, and which description correctly characterizes the graph of displacement \\(y\\) versus position \\(x\\) for the string at time \\(t = 0 \\text{ s}\\)?"
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/117508/"
date_modified: "2026-08-04T06:52:25+00:00"
---

# A continuous transverse wave travels in the positive \(x\)-direction along a stretched string with a speed of \(v = 2.0 \text{ m/s}\). The graph shows the vertical displacement \(y\) of a particle located at position \(x = 0 \text{ m}\) as a function of time \(t\). What is the frequency of the wave, and which description correctly characterizes the graph of displacement \(y\) versus position \(x\) for the string at time \(t = 0 \text{ s}\)?

A continuous transverse wave travels in the positive \(x\)-direction along a stretched string with a speed of \(v = 2.0 \text{ m/s}\). The graph shows the vertical displacement \(y\) of a particle located at position \(x = 0 \text{ m}\) as a function of time \(t\). What is the frequency of the wave, and which description correctly characterizes the graph of displacement \(y\) versus position \(x\) for the string at time \(t = 0 \text{ s}\)?

![A graph of displacement y in centimeters versus time t in seconds for a string particle at x = 0. The vertical axis ranges from -5 to 5 cm with major tick marks at -4, 0, and 4. The horizontal axis ranges from 0 to 0.5 s with major tick marks at 0, 0.1, 0.2, 0.3, 0.4, and 0.5. A smooth sinusoidal curve starts at (0, 0), rises to a crest at (0.1, 4), drops to zero at (0.2, 0), reaches a trough at (0.3, -4), and returns to zero at (0.4, 0), completing one full cycle in 0.4 seconds. No other curves or text appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785826345-fPHLGZ.jpg)

- **A.** Frequency: \(0.40 \text{ Hz}\) | Graph of \(y\) vs. \(x\): Starts at \(y = 0\) and initially increases to a positive crest as \(x\) increases
- **B.** Frequency: \(0.40 \text{ Hz}\) | Graph of \(y\) vs. \(x\): Starts at \(y = 0\) and initially decreases to a negative trough as \(x\) increases
- **C.** Frequency: \(2.5 \text{ Hz}\) | Graph of \(y\) vs. \(x\): Starts at \(y = 0\) and initially decreases to a negative trough as \(x\) increases
- **D.** Frequency: \(2.5 \text{ Hz}\) | Graph of \(y\) vs. \(x\): Starts at \(y = 0\) and initially increases to a positive crest as \(x\) increases

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117508/*