---
title: "A car accelerates from rest with an acceleration of \\( 3.5 \\, \\text{m/s}^2 \\) for 10 seconds. After this, it continues at a constant speed for an unknown amount of time. The driver notices a ramp 50 meters ahead and takes 0.6 seconds to react. After reacting, the driver hits the brakes, which slow the car with an acceleration of \\( 7.2 \\, \\text{m/s}^2 \\). Unfortunately, the driver does not stop in time and goes off the 3-meter high ramp that is angled at \\( 27^\\circ \\)."
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url: "https://nerd-notes.com/ubq/29511/"
date_modified: "2024-09-25T03:19:00+00:00"
---

# A car accelerates from rest with an acceleration of \( 3.5 \, \text{m/s}^2 \) for 10 seconds. After this, it continues at a constant speed for an unknown amount of time. The driver notices a ramp 50 meters ahead and takes 0.6 seconds to react. After reacting, the driver hits the brakes, which slow the car with an acceleration of \( 7.2 \, \text{m/s}^2 \). Unfortunately, the driver does not stop in time and goes off the 3-meter high ramp that is angled at \( 27^\circ \).

A car accelerates from rest with an acceleration of \( 3.5 \, \text{m/s}^2 \) for \( 10 \, \text{s} \). After this, it continues at a constant speed for an unknown amount of time. The driver notices a ramp \( 50 \, \text{m} \) ahead and takes \( 0.6 \, \text{s} \) to react. After reacting, the driver hits the brakes, which slow the car with an acceleration of \( 7.2 \, \text{m/s}^2 \). Unfortunately, the driver does not stop in time and goes off the \( 3 \, \text{m} \) high ramp that is angled at \( 27^\circ \).

**Part a)** What horizontal distance does the car travel after going off the ramp? *(3 points)*

**Part b)** What is the cars final velocity when it reaches the ground? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/29511/*