a) Find the average velocity of the book over the interval t = 0 to t = 2 seconds. b) Find the average velocity of the book over the interval t= 1 to t= 2 seconds. c) Find the average velocity of the book over the interval t= 1. 5 to t = 2 seconds.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 52RE
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ルいしし
8. A calculus book is thrown from the top of a building such that its height off the
ground (in feet) could be calculated using the function h(t) = 120 – 3t – 16t?, where t is
measured in seconds.
a) Find the average velocity of the book over the interval t = 0 to t = 2 seconds.
b) Find the average velocity of the book over the interval t = 1 to t= 2 seconds.
c) Find the average velocity of the book over the interval t= 1. 5 to t = 2 seconds.
f (t + At) – f(t)
d) Using the definition of derivative lim
to find the instantaneous
At→0
At
rate of change of the book at t = 2.
e) How does your answer to part d) relate to the progression of answers from part a)
through c)?
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Transcribed Image Text:AutoSave MAT 265 Review for Exam 2 2020P Compatibility Mode Afeefah Rashid ff AR File Home Insert Draw Design Layout References Mailings Review View Help O Search A Share O Comments O Find - Times New Romi v 12 - A^ A° Aav A AaBbCcDc AaBbC AaBbCcDc AaBbC AaBbCcl S Replace Paste В IUab х, х* А 1 Normal Title 1 No Spac. Heading 1 Heading 2 Dictate Sensitivity A Select v Clipboard a Font Paragraph Styles Editing Voice Sensitivity II. ルいしし 8. A calculus book is thrown from the top of a building such that its height off the ground (in feet) could be calculated using the function h(t) = 120 – 3t – 16t?, where t is measured in seconds. a) Find the average velocity of the book over the interval t = 0 to t = 2 seconds. b) Find the average velocity of the book over the interval t = 1 to t= 2 seconds. c) Find the average velocity of the book over the interval t= 1. 5 to t = 2 seconds. f (t + At) – f(t) d) Using the definition of derivative lim to find the instantaneous At→0 At rate of change of the book at t = 2. e) How does your answer to part d) relate to the progression of answers from part a) through c)? Page 4 of 6 570 words O Focus 160% 9:22 AM 2 Type here to search W 11/18/2020
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Swokowski
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