Answered: t and capable of creatir econds and a…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 10A

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Transcribed Image Text:fill the tanks for two and a half hours. Calculate how many tons of fuel are in the and t is measured in hours. They tanks once they are full, rounded to the nearest ton. 2) You know the Excelsior must achieve 30,000 mph to reach escape velocity. The rocket's engines are state-of-the-art and capable of creating an acceleration based on the profile a=10t, where t is in seconds and a is in 2. Unfortunately the pull of gravity works against the'rocket's motion at 32 ,2. Neglecting wind resistance, calculate how long to burn the fuel to allow the Excelsior to achieve 30,000 mph, rounded to the nearest minute. 3) The straight-line distance from Earth Mars at the time the launch is scheduled is 100 million miles. In order to avoid other celestial bodies the Excelsior must travel in an arc given by the equation y = - (x-50)2+20, where x and y are in 125 millions of miles, and the x-axis denotes the straight-line distance to Mars. Find the actual distance travelled by the Excelsior rounded to the nearest million and then find the approximate time for the trip rounded to the nearest month, assuming a constant speed of 30,000 mph and 30 days in each month.

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