---
title: "Initially, a ball has an angular velocity of \\( 5.0 \\) \\( \\text{rad/s} \\) counterclockwise. Some time later, after rotating through a total angle of \\( 5.5 \\) \\( \\text{radians} \\), the ball has an angular velocity of \\( 1.5 \\) \\( \\text{rad/s} \\) clockwise."
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/104213/"
date_modified: "2025-10-30T07:00:35+00:00"
---

# Initially, a ball has an angular velocity of \( 5.0 \) \( \text{rad/s} \) counterclockwise. Some time later, after rotating through a total angle of \( 5.5 \) \( \text{radians} \), the ball has an angular velocity of \( 1.5 \) \( \text{rad/s} \) clockwise.

Initially, a ball has an angular velocity of \( 5.0 \) \( \text{rad/s} \) counterclockwise. Some time later, after rotating through a total angle of \( 5.5 \) \( \text{radians} \), the ball has an angular velocity of \( 1.5 \) \( \text{rad/s} \) clockwise.

**Part a)** What is the angular acceleration? What is the average angular velocity? How much time did this take? *(3 points)*

**Part b)** At some point the angular velocity of the ball had to have been zero. At what angle from its initial orientation did this occur and how long did it take? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/104213/*