---
title: "A rocket, initially at rest, is fired vertically upward with an acceleration of \\( 12.0 \\, \\text{m/s}^2 \\). At an altitude of \\( 1.00 \\, \\text{km} \\), the rocket engine cuts off. Drag is negligible."
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url: "https://nerd-notes.com/ubq/19132/"
date_modified: "2024-09-25T03:16:47+00:00"
---

# A rocket, initially at rest, is fired vertically upward with an acceleration of \( 12.0 \, \text{m/s}^2 \). At an altitude of \( 1.00 \, \text{km} \), the rocket engine cuts off. Drag is negligible.

A rocket, initially at rest, is fired vertically upward with an acceleration of \( 12.0 \, \text{m/s}^2 \). At an altitude of \( 1.00 \, \text{km} \), the rocket engine cuts off. Drag is negligible.

**Part a)** How fast is the rocket traveling when the engine cuts off? *(3 points)*

**Part b)** What maximum height relative to the ground does the rocket reach before it begins falling back toward the earth? *(3 points)*

**Part c)** After free-falling, what is the rocket’s velocity just before it hits the earth? *(3 points)*

**Part d)** For what total amount of time was the rocket in the air (from initial launch to return to earth)? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/19132/*