A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.4 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.80 m/s2 until it reaches an altitude of 1030 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a) For what time interval is the rocket in motion above the ground?   Your response differs from the correct answer by more than 10%. Double check your calculations. s (b) What is its maximum altitude?   Your response differs from the correct answer by more than 10%. Double check your calculations. km (c) What is its velocity just before it hits the ground?  m/s

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 7OQ: A student at the top of a building of height h throws one ball upward with a speed of vi and then...
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A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.4 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.80 m/s2 until it reaches an altitude of 1030 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.)

(a) For what time interval is the rocket in motion above the ground?
 
Your response differs from the correct answer by more than 10%. Double check your calculations. s

(b) What is its maximum altitude?
 
Your response differs from the correct answer by more than 10%. Double check your calculations. km

(c) What is its velocity just before it hits the ground?
 m/s
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