football is kicked into the air, and its height (h) in feet after t seconds is given by h (t) = -16t² + 34t. What was the height of the football when it was kicked? How many seconds does it take for the football to reach its maximum height (to 3 decimal places, if needed)? What is the maximum height (to 3 decimal places, if needed)? After how many seconds would the football reach a height of 1.2 feet above the ground when it is flying up? Round your answer to three decimal places.
football is kicked into the air, and its height (h) in feet after t seconds is given by h (t) = -16t² + 34t. What was the height of the football when it was kicked? How many seconds does it take for the football to reach its maximum height (to 3 decimal places, if needed)? What is the maximum height (to 3 decimal places, if needed)? After how many seconds would the football reach a height of 1.2 feet above the ground when it is flying up? Round your answer to three decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A football is kicked into the air, and its height (h) in feet after t seconds is given by h(t)=-16t^2+34t
Transcribed Image Text:A football is kicked into the air, and its height (h) in feet after t seconds is given by h (t) = -16t² + 34t.
a) What was the height of the football when it was kicked?
b) How many seconds does it take for the football to reach its maximum height (to 3 decimal places, if needed)?
c) What is the maximum height (to 3 decimal places, if needed)?
d) After how many seconds would the football reach a height of 1.2 feet above the ground when it is flying up? Round your answer to three decimal places.
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