A group of Loyola students decided to depart from Earth after graduation to find work on Mars. Before building a shuttle, they conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisoned at t = 84.8 s, is given by

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 83PQ
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A group of Loyola students decided to depart from Earth after graduation to find work on Mars. Before building a shuttle, they conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisoned at t = 84.8 s, is given by

?(?)=0.001111333?^3−0.085745?^2+30.69?+9.71

(in feet per second). Using this model, estimate
the global maximum value =?
and global minimum value =?

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