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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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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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