---
title: "The graph represents the position \\( x \\) as a function of time \\( t \\) for an object undergoing simple harmonic motion. Which of the following equations could represent the position \\( x \\) as a function of time \\( t \\)?"
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url: "https://nerd-notes.com/ubq/88197/"
date_modified: "2025-05-06T02:12:57+00:00"
---

# The graph represents the position \( x \) as a function of time \( t \) for an object undergoing simple harmonic motion. Which of the following equations could represent the position \( x \) as a function of time \( t \)?

The graph represents the position \( x \) as a function of time \( t \) for an object undergoing simple harmonic motion. Which of the following equations could represent the position \( x \) as a function of time \( t \)?

![Diagram](https://nerd-notes.com/wp-content/uploads/2025/04/SimpleHarmonicMotionmakeanequationfromgraphubq-300x249.jpg)

- **A.** \[ x = x_0 \cos\left( \frac{ 3\pi t }{ 2 t_0 } \right) \]
- **B.** \[ x = x_0 \cos\left( \frac{ 2\pi t }{ t_0 } \right) \]
- **C.** \[ x = x_0 \sin\left( \frac{ 3\pi t }{ 2 t_0 } \right) \]
- **D.** \[ x = x_0 \sin\left( \frac{ 2\pi t }{ t_0 } \right) \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/88197/*