The height y (in feet) of a ball thrown by a child is 1 y = + 2x + 5 16 where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground? feet

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 6T
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The height y (in feet) of a ball thrown by a child is
1
-x² + 2x + 5
16
y =
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand?
feet
(b) What is the maximum height of the ball?
feet
(c) How far from the child does the ball strike the ground?
feet
Transcribed Image Text:The height y (in feet) of a ball thrown by a child is 1 -x² + 2x + 5 16 y = where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground? feet
Expert Solution
Step 1

The given equation,

y=-\dfrac{1}{14}x^2+6x+3

where,

x is the horizontal distance in feet and

y is the height of the ball in feet.

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