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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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