A ball is thrown upward and outward from a height of 5 feet. The height of the ball, f(x), in feet, can be modeled by f(x) = - 0.2x? + 2.1x+5 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 is 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? O feet (Round to the nearest tenth as needed.) c. Graph the function that models the ball's parabolic path. Choose the correct graph below. OB. OD. 25- 20- 15- 10- 5-4 04 0 5 10152025 Horizontal Distance 254 20 15 10- 5- 254 20- 15 10- 254 20- 15- 10- 5- 0- 05 101520 25 Horizontal Distance 0+ 05 10152025 Horizontal Distance 05 1015 2025 Horizontal Distance

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A ball is thrown upward and outward from a height of 5 feet. The height of the ball, f(x), in feet, can be modeled by
f(x) = - 0.2x2 + 2.1x+5
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 is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is fee
(Round to the nearest tenth as needed.)
feet, which occurs
feet from the point of release.
b. How far does the ball travel horizontally before hitting the ground?
feet
(Round to the nearest tenth as needed.)
c. Graph the function that models the ball's parabolic path. Choose the correct graph below.
OA.
OB.
OC.
OD.
25-
20-
15-
10-
5-
0+
05 10 15 20 25
Horizontal Distance
25-
20-
15-
10-
25-
25-
20-
15-
20-
15-
10-
10-
5-
5-
5-
0+
05 10 15 20 25
Horizontal Distance
0-
05 10 15 20 25
Horizontal Distance
05 101520 25
Horizontal Distance
Height
Height
Height
Height
Transcribed Image Text:A ball is thrown upward and outward from a height of 5 feet. The height of the ball, f(x), in feet, can be modeled by f(x) = - 0.2x2 + 2.1x+5 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 is the maximum height of the ball and how far from where it was thrown does this occur? The maximum height is fee (Round to the nearest tenth as needed.) feet, which occurs feet from the point of release. b. How far does the ball travel horizontally before hitting the ground? feet (Round to the nearest tenth as needed.) c. Graph the function that models the ball's parabolic path. Choose the correct graph below. OA. OB. OC. OD. 25- 20- 15- 10- 5- 0+ 05 10 15 20 25 Horizontal Distance 25- 20- 15- 10- 25- 25- 20- 15- 20- 15- 10- 10- 5- 5- 5- 0+ 05 10 15 20 25 Horizontal Distance 0- 05 10 15 20 25 Horizontal Distance 05 101520 25 Horizontal Distance Height Height Height Height
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