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A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be approximated by the quadratic function h(x) = –0.06x² + 3.168x – 35.34, where x is the horizontal distance travelled, in metres, from the goal line and h is the height, in metres. a) You can determine the distance the soccer ball is from the goal line by solving the corresponding equation, -0.06x² + 3.168x – 35.34 = 0. How far is the soccer ball from the goal line when it is kicked? Express your answer to the nearest tenth of a metre. b) How far does the soccer ball travel before it hits the ground?

A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be approximated by the quadratic function h(x) = –0.06x² + 3.168x – 35.34, where x is the horizontal distance travelled, in metres, from the goal line and h is the height, in metres. a) You can determine the distance the soccer ball is from the goal line by solving the corresponding equation, -0.06x² + 3.168x – 35.34 = 0. How far is the soccer ball from the goal line when it is kicked? Express your answer to the nearest tenth of a metre. b) How far does the soccer ball travel before it hits the ground?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be approximated by the quadratic function h(x) = –0.06x² + 3.168x – 35.34, where x is the horizontal distance travelled, in metres, from the goal line and h is the height, in metres. a) You can determine the distance the soccer ball is from the goal line by solving the corresponding equation, -0.06x² + 3.168x – 35.34 = 0. How far is the soccer ball from the goal line when it is kicked? Express your answer to the nearest tenth of a metre. b) How far does the soccer ball travel before it hits the ground?
Transcribed Image Text:A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be approximated by the quadratic function h(x) = –0.06x² + 3.168x – 35.34, where x is the horizontal distance travelled, in metres, from the goal line and h is the height, in metres. a) You can determine the distance the soccer ball is from the goal line by solving the corresponding equation, -0.06x² + 3.168x – 35.34 = 0. How far is the soccer ball from the goal line when it is kicked? Express your answer to the nearest tenth of a metre. b) How far does the soccer ball travel before it hits the ground?
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