---
title: "A rigid wheel rotates about a fixed horizontal axle through its center. The angular position \\(\\theta\\) of a reference mark on the rim as a function of time \\(t\\) for \\(t \\ge 0\\) is given by the equation  \\[\\theta(t) = \\theta_0 + bt^2 – ct^3\\]  where \\(\\theta_0\\), \\(b\\), and \\(c\\) are positive constants. Which of the following graphs best represents the angular acceleration \\(\\alpha\\) of the wheel as a function of time \\(t\\)?"
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url: "https://nerd-notes.com/ubq/120815/"
date_modified: "2026-08-23T04:43:27+00:00"
---

# A rigid wheel rotates about a fixed horizontal axle through its center. The angular position \(\theta\) of a reference mark on the rim as a function of time \(t\) for \(t \ge 0\) is given by the equation

\[\theta(t) = \theta_0 + bt^2 – ct^3\]

where \(\theta_0\), \(b\), and \(c\) are positive constants. Which of the following graphs best represents the angular acceleration \(\alpha\) of the wheel as a function of time \(t\)?

A rigid wheel rotates about a fixed horizontal axle through its center. The angular position \(\theta\) of a reference mark on the rim as a function of time \(t\) for \(t \ge 0\) is given by the equation

\[\theta(t) = \theta_0 + bt^2 - ct^3\]

where \(\theta_0\), \(b\), and \(c\) are positive constants. Which of the following graphs best represents the angular acceleration \(\alpha\) of the wheel as a function of time \(t\)?

- **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/120815/*