Suppose an object is launched straight up so that its position (in feet) above the ground after 1 seconds is given by f(1) =-161? +161 , and thus assume its velocity after t seconds is given by v(t)= f '(1) =-32t +16 ft/sec a.) What is the object's speed at the instant it hits the ground ? b.) When does the object reach the highest point above the ground ?
Suppose an object is launched straight up so that its position (in feet) above the ground after 1 seconds is given by f(1) =-161? +161 , and thus assume its velocity after t seconds is given by v(t)= f '(1) =-32t +16 ft/sec a.) What is the object's speed at the instant it hits the ground ? b.) When does the object reach the highest point above the ground ?
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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Transcribed Image Text:Suppose an object is launched straight up so that its position (in feet) above the ground
after t seconds is given by f(t)=-161² +161 , and thus assume its velocity after t
seconds is given by v(t) = f '(1) =-321 +16 ft/sec
a.) What is the object's speed at the instant it hits the ground ?
b.) When does the object reach the highest point above the ground ?
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