A model rocket is launched from the ground at rest. The acceleration of the rocket is ?⃗ = 90 ?̂ ? ? 2 . After 1.5 seconds, the rocket fuel is expended, and the acceleration of the rocket returns to ?⃗ = −9.8 ?̂ ? ? 2 . a) Find the velocity of the rocket just as the fuel is expended (Answer: 135?̂ ? ? ) b) Find the height of the rocket just as the fuel is expended (Answer: 101?̂ ?) c) How long does it take the rocket to reach maximum height after the fuel is expended? (Answer: 13.8 ?) d) What is the maximum height of the rocket? (Answer: 1031 ?) e) What is the impact velocity of the rocket as it hits the ground? (Answer: −142?̂ ? �

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
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A model rocket is launched from the ground at rest. The acceleration of the rocket is ?⃗ = 90 ?̂ ? ? 2 . After 1.5 seconds, the rocket fuel is expended, and the acceleration of the rocket returns to ?⃗ = −9.8 ?̂ ? ? 2 . a) Find the velocity of the rocket just as the fuel is expended (Answer: 135?̂ ? ? ) b) Find the height of the rocket just as the fuel is expended (Answer: 101?̂ ?) c) How long does it take the rocket to reach maximum height after the fuel is expended? (Answer: 13.8 ?) d) What is the maximum height of the rocket? (Answer: 1031 ?) e) What is the impact velocity of the rocket as it hits the ground? (Answer: −142?̂ ? �

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