An arrow is shot straight up into the air. The function H (t) = − 16t² + 90t + 6 gives the height (in feet) of an arrow after t seconds. Round answers to two decimal places as needed. All answers must include appropriate units of measure. a.) How long does it take for the arrow to reach its maximum height? b.) Determine the maximum height of the arrow. c.) How long does it take the arrow to hit the ground? d.) Identify the vertical intercept. Write it as an ordered pair and interpret its meaning. e.) Determine the practical domain of H(t). f.) Determine the practical range of H(t).

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 12OE
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Question 19
An arrow is shot straight up into the air. The function H (t) = − 16t² + 90t + 6
gives the height (in feet) of an arrow after t seconds. Round answers to two decimal
places as needed. All answers must include appropriate units of measure.
a.) How long does it take for the arrow to reach its maximum height?
b.) Determine the maximum height of the arrow.
c.) How long does it take the arrow to hit the ground?
d.) Identify the vertical intercept. Write it as an ordered pair and interpret its meaning.
e.) Determine the practical domain of H(t).
f.) Determine the practical range of H(t).
♫x
FA
Search the web L
1₁
4)
0
1 pts
PrtScn
1
Transcribed Image Text:" F3 Question 19 An arrow is shot straight up into the air. The function H (t) = − 16t² + 90t + 6 gives the height (in feet) of an arrow after t seconds. Round answers to two decimal places as needed. All answers must include appropriate units of measure. a.) How long does it take for the arrow to reach its maximum height? b.) Determine the maximum height of the arrow. c.) How long does it take the arrow to hit the ground? d.) Identify the vertical intercept. Write it as an ordered pair and interpret its meaning. e.) Determine the practical domain of H(t). f.) Determine the practical range of H(t). ♫x FA Search the web L 1₁ 4) 0 1 pts PrtScn 1
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