---
title: "A rocket is sent to shoot down an invading spacecraft that is hovering at an altitude of \\( 1500 \\, \\text{m} \\). The rocket is launched with an initial velocity of \\( 180 \\, \\text{m/s} \\). Find the following:"
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url: "https://nerd-notes.com/ubq/19542/"
date_modified: "2024-09-25T03:02:16+00:00"
---

# A rocket is sent to shoot down an invading spacecraft that is hovering at an altitude of \( 1500 \, \text{m} \). The rocket is launched with an initial velocity of \( 180 \, \text{m/s} \). Find the following:

A rocket is sent to shoot down an invading spacecraft that is hovering at an altitude of \( 1500 \, \text{m} \). The rocket is launched with an initial velocity of \( 180 \, \text{m/s} \). Find the following:

**Part a)** The minimum velocity needed to hit the spaceship. *(3 points)*

**Part b)** The time taken for the rocket to reach its maximum height when launched at 180 m/s. *(2 points)*

**Part c)** The maximum height the rocket reaches when launched at 180 m/s. *(2 points)*

**Part d)** The velocity and time of impact (assuming that the rocket collides with the spacecraft). *(5 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/19542/*