24. A rocket is fired upward on a straight upward trajectory at 90 degrees to the surface perfectly, starting from rest with an acceleration of +29.4 m/s² for the first 4 seconds of travel. After finishing these 4 seconds it runs out of gas but continues its upward movement on its original path for a short time. a. What is the maximum height it reaches? b. If after reaching the maximum height it is allowed to fall in free fall in a perfectly linear path towards the earth, what is its final speed just before hitting the ground? Select one: a. Maximum height = 135.8 meters, final velocity = 940.8 meters/seconds b. Maximum height = 940.8 centimeters, final velocity = 135.8 centimeters/seconds c. Maximum height = 940.8 centimeters, final velocity = 13.58 meters/seconds d. Maximum height = 940.8 meters, final velocity = 135.8 meters/seconds

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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24. A rocket is fired upward on a straight upward trajectory at 90 degrees to the surface
perfectly, starting from rest with an acceleration of +29.4 m/s² for the first 4 seconds of travel.
After finishing these 4 seconds it runs out of gas but continues its upward movement on its
original path for a short time.
a.
b.
What is the maximum height it reaches?
If after reaching the maximum height it is allowed to fall in free fall in a perfectly linear
path towards the earth, what is its final speed just before hitting the ground?
Select one:
-
b.
a. Maximum height = 135.8 meters, final velocity = 940.8 meters/seconds
Maximum height = 940.8 centimeters, final velocity = 135.8 centimeters/seconds
c. Maximum height = 940.8 centimeters, final velocity = 13.58 meters/seconds
d. Maximum height = 940.8 meters, final velocity = 135.8 meters/seconds
Transcribed Image Text:24. A rocket is fired upward on a straight upward trajectory at 90 degrees to the surface perfectly, starting from rest with an acceleration of +29.4 m/s² for the first 4 seconds of travel. After finishing these 4 seconds it runs out of gas but continues its upward movement on its original path for a short time. a. b. What is the maximum height it reaches? If after reaching the maximum height it is allowed to fall in free fall in a perfectly linear path towards the earth, what is its final speed just before hitting the ground? Select one: - b. a. Maximum height = 135.8 meters, final velocity = 940.8 meters/seconds Maximum height = 940.8 centimeters, final velocity = 135.8 centimeters/seconds c. Maximum height = 940.8 centimeters, final velocity = 13.58 meters/seconds d. Maximum height = 940.8 meters, final velocity = 135.8 meters/seconds
Expert Solution
Step 1

Given data: 

Initial velocity at ground (u) = 0 m/s

Acceleration (a) = +29.4 m/s2

Time (t) = 4 s

Required:

The maximum height (hmax) and final velocity just before hitting the ground 

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