Vertical Motion The height of an object t seconds after it is dropped from a height of 300 meters is s(t) = -4.9f2 + 300. (a) Find the average velocity of the object during the first 3 seconds. (b) Use the Mean Value Theorem to verify that at some time during the first 3 seconds of fall, the instantaneous velocity equals the average velocity. Find that time.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Vertical Motion The height of an object t seconds after it
is dropped from a height of 300 meters is
s(t) = -4.9f2 + 300.
(a) Find the average velocity of the object during the first
3 seconds.
(b) Use the Mean Value Theorem to verify that at some time
during the first 3 seconds of fall, the instantaneous velocity
equals the average velocity. Find that time.
Transcribed Image Text:Vertical Motion The height of an object t seconds after it is dropped from a height of 300 meters is s(t) = -4.9f2 + 300. (a) Find the average velocity of the object during the first 3 seconds. (b) Use the Mean Value Theorem to verify that at some time during the first 3 seconds of fall, the instantaneous velocity equals the average velocity. Find that time.
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