4. The path of a softball struck by a bat is given by the function h(t) =-16t* +63t+4.1, where t represents time in seconds since the softball was struck and h(t) represents the height of the softball in feet. a. Fill in the blanks.
4. The path of a softball struck by a bat is given by the function h(t) =-16t* +63t+4.1, where t represents time in seconds since the softball was struck and h(t) represents the height of the softball in feet. a. Fill in the blanks.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
As the softball sails through the air, a defensive player resides her hand and catches the ball in her glove on its way down. The heigh of her raised glove is 6.5 feet. How long does it take from the time the softball was struck by the bat for the player to catch it? Round your answer to the nearest hundredth of a second, and express with the appropriate unit. (Hints: is 6.5 a value of t or h(t)? Consequently, will our answer be a value of t of h(t)?)
I need help with 4a, 4b, and 4c please.
Transcribed Image Text:4. The path of a softball struck by a bat is given by the function h(t) =-16t² +63t +4.1, where
t represents time in seconds since the softball was struck and h(t) represents the height of
the softball in feet.
a. Fill in the blanks.
The input variable of the function is
and it represents the
in
since the softball was
The output is given symbolically by
which represents the
of the
softball in
b. Find the exact value of the maximum height of the softball and the time at which it reaches
this maximum. Include appropriate units in your answer.
c. As the softball sails through the air, a defensive player raises her hand and catches the ball
in her glove on its way down. The height of her raised glove is 6.5 feet. How long does it
take from the time the softball was struck by the bat for the player to catch it? Round your
answer to the nearest hundredth of a second, and express with the appropriate unit. (Hints:
Is 6.5 a value of t or h(t)? Consequently, will our answer be a value of t or h(t)?)
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