1. The ground crew is filling the fuel tanks. You know they fill the tanks at a rate of r=100et, where r is measured in tons per hour and t is measured in hours. They fill the tanks for two and a half hours. Calculate how many tons of fuel are in the tanks once they are full, rounded to the nearest ton. (Hint: Use Integration)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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200 years has passed and now it is year 2220. The Earth is out of basic resources as they
have been drastically drained in the past 200 years. The president of the United World
Council (UWC) has approved you and your crew's Mission to Mars. You will pilot the
most advanced spaceship the world has ever known, the Excelsior! It will carry
equipment that will help to transform Mars so as to resemble the Earth, especially so that
it can support human life.
Before the mission can launch a few items need to be figured out. What is the capacity of
the fuel tank? How long should the fuel burn to achieve escape velocity (otherwise the
Excelsior will be stuck in the Earth's gravitational pull)? How long will it take the Excelsior
to arrive at Mars?
1. The ground crew is filling the fuel tanks. You know they fill the tanks at a rate of
r=100et,
where r is measured in tons per hour and t is measured in hours. They fill
the tanks for two and a half hours. Calculate how many tons of fuel are in the tanks
once they are full, rounded to the nearest ton. (Hint: Use Integration)
Transcribed Image Text:200 years has passed and now it is year 2220. The Earth is out of basic resources as they have been drastically drained in the past 200 years. The president of the United World Council (UWC) has approved you and your crew's Mission to Mars. You will pilot the most advanced spaceship the world has ever known, the Excelsior! It will carry equipment that will help to transform Mars so as to resemble the Earth, especially so that it can support human life. Before the mission can launch a few items need to be figured out. What is the capacity of the fuel tank? How long should the fuel burn to achieve escape velocity (otherwise the Excelsior will be stuck in the Earth's gravitational pull)? How long will it take the Excelsior to arrive at Mars? 1. The ground crew is filling the fuel tanks. You know they fill the tanks at a rate of r=100et, where r is measured in tons per hour and t is measured in hours. They fill the tanks for two and a half hours. Calculate how many tons of fuel are in the tanks once they are full, rounded to the nearest ton. (Hint: Use Integration)
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