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8. A rocket is fired into the air with an initial velocity of 98 m/s. The height (h) of the rocket after t seconds is given by the expression h = 98t - 4.9t². a. What the average rate of change over the first 2 seconds. b. At what point does the rocket reach its maximum height? Show a graphical and algebraic solution. c. Over what intervals is the rocket's height increasing and decreasing?

8. A rocket is fired into the air with an initial velocity of 98 m/s. The height (h) of the rocket after t seconds is given by the expression h = 98t - 4.9t². a. What the average rate of change over the first 2 seconds. b. At what point does the rocket reach its maximum height? Show a graphical and algebraic solution. c. Over what intervals is the rocket's height increasing and decreasing?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
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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8. A rocket is fired into the air with an initial velocity of 98 m/s. The height (h) of the rocket after t seconds is given by the expression h = 98t - 4.9t². a. What the average rate of change over the first 2 seconds. b. At what point does the rocket reach its maximum height? Show a graphical and algebraic solution. c. Over what intervals is the rocket's height increasing and decreasing?
Transcribed Image Text:8. A rocket is fired into the air with an initial velocity of 98 m/s. The height (h) of the rocket after t seconds is given by the expression h = 98t - 4.9t². a. What the average rate of change over the first 2 seconds. b. At what point does the rocket reach its maximum height? Show a graphical and algebraic solution. c. Over what intervals is the rocket's height increasing and decreasing?
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