A baseball is hit at a point 3 feet above the ground at a velocity of 100 feet per second and at an angle of 45◦ with respect to the ground. The path of the baseball is given by the function ?(?)=−0.0032?2 + ? + 3 where f(x) is the height of the baseball feet) and is the horizontal distance from home plate (in feet).? a) Determine the axis of symmetry of f(x), and sketch the graph of ?(?) for . (2)0≤?≤300? B) What is the maximum height reached by baseball and how far from the home plate does that occur ? (1) C) Find f(0) and interpret the result in the context of the problem. (1)?
A baseball is hit at a point 3 feet above the ground at a velocity of 100 feet per second and at an angle of 45◦ with respect to the ground. The path of the baseball is given by the function ?(?)=−0.0032?2 + ? + 3 where f(x) is the height of the baseball feet) and is the horizontal distance from home plate (in feet).? a) Determine the axis of symmetry of f(x), and sketch the graph of ?(?) for . (2)0≤?≤300? B) What is the maximum height reached by baseball and how far from the home plate does that occur ? (1) C) Find f(0) and interpret the result in the context of the problem. (1)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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A baseball is hit at a point 3 feet above the ground at a velocity of 100 feet per second
and at an angle of 45◦ with respect to the ground. The path of the baseball is given by
the function ?(?)=−0.0032?2 + ? + 3 where f(x) is the height of the baseball
feet) and is the horizontal distance from home plate (in feet).?
a) Determine the axis of symmetry of f(x), and sketch the graph of ?(?) for
. (2)0≤?≤300?
B) What is the maximum height reached by baseball and how far from the home
plate does that occur ? (1)
C) Find f(0) and interpret the result in the context of the problem. (1)?
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