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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?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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