Problem 3: An outfielder throws a baseball to a catcher 120 feet away to prevent a runner from scoring. The ball is released 6 feet above the ground with a horizontal speed of 70 feet per second and a vertical speed of 25 feet per second. The catcher holds his mitt 2 feet off the ground. The following equation describes the path of the ball. Where y is the height, in feet, of the ball off the ground, x feet from the outfielder. 25 y-x-16 ()* +6 70 a. Find the initial height of the ball. Show the substitution. ected ex b. Using the graphing calculator, find the maximum altitude of the ball. Round to 2 decimal places. C. How high is the ball off the ground when the ball is 10 feet from the outfielder? Show the substitution. Round to 2 decimal places.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.4: Parametric Equations And Further Graphing
Problem 41PS
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Problem 3:
An outfielder throws a baseball to a catcher 120 feet away to prevent a runner from
scoring. The ball is released 6 feet above the ground with a horizontal speed of 70
feet per second and a vertical speed of 25 feet per second. The catcher holds his
mitt 2 feet off the ground. The following equation describes the path of the ball.
Where y is the height, in feet, of the ball off the ground, x feet from the outfielder.
a.
b.
C.
d.
25
70-16
y =
16 (7) ² + +6
Find the initial height of the ball. Show the substitution.
Using the graphing calculator, find the maximum altitude of the ball. Round to
2 decimal places.
How high is the ball off the ground when the ball is 10 feet from the
outfielder? Show the substitution. Round to 2 decimal places.
Can the catcher catch the ball? Explain.
ving conscity for the foxes in the protect
AIRL
Transcribed Image Text:Problem 3: An outfielder throws a baseball to a catcher 120 feet away to prevent a runner from scoring. The ball is released 6 feet above the ground with a horizontal speed of 70 feet per second and a vertical speed of 25 feet per second. The catcher holds his mitt 2 feet off the ground. The following equation describes the path of the ball. Where y is the height, in feet, of the ball off the ground, x feet from the outfielder. a. b. C. d. 25 70-16 y = 16 (7) ² + +6 Find the initial height of the ball. Show the substitution. Using the graphing calculator, find the maximum altitude of the ball. Round to 2 decimal places. How high is the ball off the ground when the ball is 10 feet from the outfielder? Show the substitution. Round to 2 decimal places. Can the catcher catch the ball? Explain. ving conscity for the foxes in the protect AIRL
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