Vertical Motion The height of an object t seconds after it isdropped from a height of 300 meters is s(t) = −4.9t2 + 300.(a) Find the average velocity of the object during the first3 seconds.(b) Use the Mean Value Theorem to verify that at some timeduring the first 3 seconds of fall, the instantaneous velocityequals the average velocity. Find that time.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 65E
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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) = −4.9t2 + 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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