A long jumper leaves the ground at an angle of 23 degrees above the horizontal, at a speed of 11 m/s. The height of the jumper can be modeled by f(x) = -0.046 x2 + 0.363 x where f(x) is the jumper's height in meters and x is the horizontal distance from the point of launch. (a) At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. (b) What is the maximum height of the long jumper? Round to 2 decimal places.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
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A long jumper leaves the ground at an angle of 23 degrees above the horizontal, at a speed of 11 m/s. The height of the jumper can
be modeled by
f(x) = -0.046 x2 + 0.363 x
where f(x) is the jumper's height in meters and x is the horizontal distance from the point of launch.
(a) At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places.
(b) What is the maximum height of the long jumper? Round to 2 decimal places.
Use algebra (methods developed in class) to solve the problem.
Transcribed Image Text:A long jumper leaves the ground at an angle of 23 degrees above the horizontal, at a speed of 11 m/s. The height of the jumper can be modeled by f(x) = -0.046 x2 + 0.363 x where f(x) is the jumper's height in meters and x is the horizontal distance from the point of launch. (a) At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. (b) What is the maximum height of the long jumper? Round to 2 decimal places. Use algebra (methods developed in class) to solve the problem.
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