A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet, can be modeled by f(x)=−0.1x2+1.4x+6 where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c). a. What are the maximum height of the ball and how far from where it was thrown does this occur? The maximum height is feet, which occurs feet from the point of release. (Round to the nearest tenth as needed.) b. How far does the ball travel horizontally before hitting the ground? (Round to the nearest tenth as needed.) c. Graph the function that models the ball's parabolic path.
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet, can be modeled by f(x)=−0.1x2+1.4x+6 where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c). a. What are the maximum height of the ball and how far from where it was thrown does this occur? The maximum height is feet, which occurs feet from the point of release. (Round to the nearest tenth as needed.) b. How far does the ball travel horizontally before hitting the ground? (Round to the nearest tenth as needed.) c. Graph the function that models the ball's parabolic path.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
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A ball is thrown upward and outward from a height of
6
feet. The height of the ball, f(x), in feet, can be modeled byf(x)=−0.1x2+1.4x+6
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
|
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a. What are the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs feet from the point of release.
(Round to the nearest tenth as needed.)
b. How far does the ball travel horizontally before hitting the ground?
(Round to the nearest tenth as needed.)
c.
Graph the function that models the ball's parabolic path. Expert Solution
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