---
title: "The position of a cart on a spring is given by the equation \\( x = 12.3 \\text{ cm} \\cos( 1.26 t ) \\). When \\( t = 0.805 \\text{ s} \\), what are the (a) velocity and (b) acceleration of the cart?"
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/88570/"
date_modified: "2026-08-18T02:40:13+00:00"
---

# The position of a cart on a spring is given by the equation \( x = 12.3 \text{ cm} \cos( 1.26 t ) \). When \( t = 0.805 \text{ s} \), what are the (a) velocity and (b) acceleration of the cart?

The position of a cart on a spring is given by the equation \( x = 12.3 \text{ cm} \cos( 1.26 t ) \). When \( t = 0.805 \text{ s} \), what are the (a) velocity and (b) acceleration of the cart?

**Part a)** Determine the velocity of the cart at \( t = 0.805 \text{ s} \). *(3 points)*

**Part b)** Determine the acceleration of the cart at \( t = 0.805 \text{ s} \). *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/88570/*