---
title: "A ranger in a national park is driving at \\( 56 \\, \\text{km/h} \\) when a deer jumps onto the road \\( 65 \\, \\text{m} \\) ahead of the vehicle. After a reaction time of \\( t \\, \\text{s} \\), the ranger applies the brakes to produce an acceleration of \\( -3 \\, \\text{m/s}^2 \\). What is the maximum reaction time allowed if the ranger is to avoid hitting the deer?"
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url: "https://nerd-notes.com/ubq/19095/"
date_modified: "2024-09-24T10:16:31+00:00"
---

# A ranger in a national park is driving at \( 56 \, \text{km/h} \) when a deer jumps onto the road \( 65 \, \text{m} \) ahead of the vehicle. After a reaction time of \( t \, \text{s} \), the ranger applies the brakes to produce an acceleration of \( -3 \, \text{m/s}^2 \). What is the maximum reaction time allowed if the ranger is to avoid hitting the deer?

A ranger in a national park is driving at \( 56 \, \text{km/h} \) when a deer jumps onto the road \( 65 \, \text{m} \) ahead of the vehicle. After a reaction time of \( t \, \text{s} \), the ranger applies the brakes to produce an acceleration of \( -3 \, \text{m/s}^2 \). What is the maximum reaction time allowed if the ranger is to avoid hitting the deer?

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/19095/*