---
title: "An object executes simple harmonic motion along the \\(x\\)-axis such that its position as a function of time \\(t\\) is given by \\(x(t) = C_1 \\cos(\\omega t) + C_2 \\sin(\\omega t)\\), where \\(C_1 = 0.060\\text{ m}\\) and \\(C_2 = 0.080\\text{ m}\\). The graph shows the acceleration \\(a\\) of the object as a function of its position \\(x\\). What is the magnitude of the maximum acceleration of the object?"
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url: "https://nerd-notes.com/ubq/124385/"
date_modified: "2026-09-28T14:05:06+00:00"
---

# An object executes simple harmonic motion along the \(x\)-axis such that its position as a function of time \(t\) is given by \(x(t) = C_1 \cos(\omega t) + C_2 \sin(\omega t)\), where \(C_1 = 0.060\text{ m}\) and \(C_2 = 0.080\text{ m}\). The graph shows the acceleration \(a\) of the object as a function of its position \(x\). What is the magnitude of the maximum acceleration of the object?

An object executes simple harmonic motion along the \(x\)-axis such that its position as a function of time \(t\) is given by \(x(t) = C_1 \cos(\omega t) + C_2 \sin(\omega t)\), where \(C_1 = 0.060\text{ m}\) and \(C_2 = 0.080\text{ m}\). The graph shows the acceleration \(a\) of the object as a function of its position \(x\). What is the magnitude of the maximum acceleration of the object?

![A Cartesian coordinate graph showing acceleration \(a\) in meters per second squared on the vertical axis versus position \(x\) in meters on the horizontal axis. The horizontal axis ranges from \(-0.20\) to \(+0.20\) with major tick marks and numerical labels at \(-0.20\), \(-0.10\), \(0\), \(0.10\), and \(0.20\). The vertical axis ranges from \(-20\) to \(+20\) with major tick marks and numerical labels at \(-20\), \(-10\), \(0\), \(10\), and \(20\). A regular grid of thin dashed lines is aligned with ticks spaced every \(0.05\text{ m}\) horizontally and every \(5\text{ m/s}^2\) vertically. A single straight solid black line passes through the origin \((0, 0)\), starting at the coordinate \((-0.20, 20)\) and ending at \((0.20, -20)\). The line passes cleanly through grid intersections at \((-0.10, 10)\) and \((0.10, -10)\). No other curves, points, arrows, or text appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604306-2cTtnv.jpg)

- **A.** \(8.0\text{ m/s}^2\)
- **B.** \(10\text{ m/s}^2\)
- **C.** \(14\text{ m/s}^2\)
- **D.** \(20\text{ m/s}^2\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124385/*