If a space shuttle's downward acceleration is given by y"(t) = –32 ft/s², find the osition function y(t). Assume that the shuttle's initial velocity is y'(0) =-100 ft/s nd that its initial position is y(0) = 100,000 ft. Use the position function to find the osition of the shuttle after 5 seconds.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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8. If a space shuttle's downward acceleration is given by y"(t) = -32 ft/s², find the
position function y(t). Assume that the shuttle's initial velocity is y'(0) = -100 ft/s
and that its initial position is y(0) = 100,000 ft. Use the position function to find the
position of the shuttle after 5 seconds.
Transcribed Image Text:8. If a space shuttle's downward acceleration is given by y"(t) = -32 ft/s², find the position function y(t). Assume that the shuttle's initial velocity is y'(0) = -100 ft/s and that its initial position is y(0) = 100,000 ft. Use the position function to find the position of the shuttle after 5 seconds.
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