9. [Geogebra Question] The altitude (in feet) attained by a model rocket t seconds into flight is given by the function P(t) = –4t³ + 20t² + 3, t > 0. Open a new Geogebra CAS. | In the left pane press the + button and click Expression Define the altitude function using the command P(t)=-4*t^3+20*t^2+3 A graph of the altitude attained by the model rocket will be shown to the right Adjust the interval of the horizontal axis which is displayed using the + or - magni- fying glasses on the bottom right. Move the graph around by clicking and holding your mouse on the graph. Adjust until the maximum point of the graph is clearly visible. Use this graph to answer the next questions. (a) What is the maximum altitude attained by the rocket? (b) How long does the rocket take to reach the maximum altitude? (c) Zoom out and save a screenshot of your graph and label the point where the maximum altitude occurs. Title the graph as Question 9

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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9. [Geogebra Question] The altitude (in feet) attained by a model rocket t seconds into
flight is given by the function P(t) = –4t³ + 20t² + 3, t > 0.
Open a new Geogebra CAS.
In the left pane press the + button and click Expression
Define the altitude function using the command
P(t)=-4*t^3+20*t^2+3
A graph of the altitude attained by the model rocket will be shown to the right
Adjust the interval of the horizontal axis which is displayed using the + or - magni-
fying glasses on the bottom right. Move the graph around by clicking and holding
your mouse on the graph. Adjust until the maximum point of the graph is clearly
visible. Use this graph to answer the next questions.
(a) What is the maximum altitude attained by the rocket?
(b) How long does the rocket take to reach the maximum altitude?
(c) Zoom out and save a screenshot of your graph and label the point where the
maximum altitude occurs. Title the graph as Question 9
Transcribed Image Text:9. [Geogebra Question] The altitude (in feet) attained by a model rocket t seconds into flight is given by the function P(t) = –4t³ + 20t² + 3, t > 0. Open a new Geogebra CAS. In the left pane press the + button and click Expression Define the altitude function using the command P(t)=-4*t^3+20*t^2+3 A graph of the altitude attained by the model rocket will be shown to the right Adjust the interval of the horizontal axis which is displayed using the + or - magni- fying glasses on the bottom right. Move the graph around by clicking and holding your mouse on the graph. Adjust until the maximum point of the graph is clearly visible. Use this graph to answer the next questions. (a) What is the maximum altitude attained by the rocket? (b) How long does the rocket take to reach the maximum altitude? (c) Zoom out and save a screenshot of your graph and label the point where the maximum altitude occurs. Title the graph as Question 9
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