---
title: "A vehicle is moving at a speed of 12.3 m/s on a decline when the brakes of all four wheels are fully applied, causing them to lock. The slope of the decline forms an angle of 18.0 degrees with the horizontal plane. Given that the coefficient of kinetic friction between the tires and the road surface is 0.650, determine the distance the vehicle slides before it halts."
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/23104/"
date_modified: "2024-05-03T06:47:18+00:00"
---

# A vehicle is moving at a speed of 12.3 m/s on a decline when the brakes of all four wheels are fully applied, causing them to lock. The slope of the decline forms an angle of 18.0 degrees with the horizontal plane. Given that the coefficient of kinetic friction between the tires and the road surface is 0.650, determine the distance the vehicle slides before it halts.

A vehicle is moving at a speed of 12.3 m/s on a decline when the brakes of all four wheels are fully applied, causing them to lock. The slope of the decline forms an angle of 18.0 degrees with the horizontal plane. Given that the coefficient of kinetic friction between the tires and the road surface is 0.650.

**Part a)** Determine the distance *D* the vehicle slides down the incline before it halts. *(3 points)*

**Part b)** If the angle of the incline is increased by a factor of 1.5, how much further would the vehicle slide? Give your answer in terms of *d**. * *(3 points)*

**Part c)** Now suppose the vehicle were to lock its brakes while traveling **up** the same incline with the same initial velocity. Would the vehicle travel a larger, shorter, or equal distance than in part (a). Justify your answer. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/23104/*