5. A football player kicks a ball at an angle of 37° above the ground with an initial speed of 20 meters/second. The height, h, as a function of the horizontal distance traveled, d, is given by h = 0.75d – 0.0192d². a. When the ball hits the ground, how far is it from the spot where the football player kicked it? b. What is the maximum height the ball reaches during its flight? c. What is the horizontal distance the ball has traveled when it reaches its maximum height?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Can you answer A b and c?

5. A football player kicks a ball at an angle of 37' above the ground with an initial speed of 20
meters/second. The height, h, as a function of the horizontal distance traveled, d, is given by
h = 0.75d – 0.0192d².
When the ball hits the ground, how far is it from the spot where the football player kicked
it?
b. What is the maximum height the ball reaches during its flight?
What is the horizontal distance the ball has traveled when it reaches its maximum height?
c.
Transcribed Image Text:5. A football player kicks a ball at an angle of 37' above the ground with an initial speed of 20 meters/second. The height, h, as a function of the horizontal distance traveled, d, is given by h = 0.75d – 0.0192d². When the ball hits the ground, how far is it from the spot where the football player kicked it? b. What is the maximum height the ball reaches during its flight? What is the horizontal distance the ball has traveled when it reaches its maximum height? c.
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