The height of an object t seconds after it is dropped from a height of 160 meters is s(t) = -4.9t2 + 160. (a) Find the average velocity of the object during the first 3 seconds. m/s (b) Use the Mean Value Theorem to verify that at some time during the first 3 seconds of fallI, the instantaneous velocity equals the average velocity. Find that time.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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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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The height of an object t seconds after it is dropped from a height of 160 meters is
s(t) = -4.9t2 + 160.
(a) Find the average velocity of the object during the first 3 seconds.
m/s
(b) Use the Mean Value Theorem to verify that at some time during the first 3
seconds of fallI, the instantaneous velocity equals the average velocity. Find that
time.
Transcribed Image Text:The height of an object t seconds after it is dropped from a height of 160 meters is s(t) = -4.9t2 + 160. (a) Find the average velocity of the object during the first 3 seconds. m/s (b) Use the Mean Value Theorem to verify that at some time during the first 3 seconds of fallI, the instantaneous velocity equals the average velocity. Find that time.
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