A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph of the equation h(x) = 11x − 0.01x2 where h(x) is the height of the cannonball above the water when it has traveled a horizontal distance of x feet.   (a) What is the maximum height that the cannonball reaches? ft (b) How far does the cannonball travel horizontally before splashing into the water? ft

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.CT: Chapter Test
Problem 3CT: A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph...
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A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph of the equation

h(x) = 11x − 0.01x2

where h(x) is the height of the cannonball above the water when it has traveled a horizontal distance of x feet.

 
(a) What is the maximum height that the cannonball reaches?
ft

(b) How far does the cannonball travel horizontally before splashing into the water?
ft

 

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