Using a throwing stick, Dominic can throw his dog's ball across the park. Assume that the park is flat. The path of the ball can be modelled by the equation y = -0.02x² + x + 1.8₁ where is the horizontal distance of the ball from where Dominic throws it, and y is the vertical distance of the ball above the ground (both measured in metres).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.CT: Chapter Test
Problem 19CT
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Question

(1) By substituting x = 20 into the equation of the parabola, find
the coordinates of the point where the line x = 20 meets the
parabola. 


(2) Using your answer to part (d)(ii)(1), explain whether the ball
goes higher than a tree of height 8.5 m that stands 20 m from
Dominic and lies in the path of the ball.

Using a throwing stick, Dominic can throw his dog's ball across the
park. Assume that the park is flat. The path of the ball can be
modelled by the equation
y = -0.02x² + x + 1.8,
where is the horizontal distance of the ball from where Dominic
throws it, and y is the vertical distance of the ball above the ground
(both measured in metres).
Transcribed Image Text:Using a throwing stick, Dominic can throw his dog's ball across the park. Assume that the park is flat. The path of the ball can be modelled by the equation y = -0.02x² + x + 1.8, where is the horizontal distance of the ball from where Dominic throws it, and y is the vertical distance of the ball above the ground (both measured in metres).
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