ications of Inverse Functions You can model time, t. in seconds an object takes to reach the ground falling from height, H, in meters by the function below. The value of g if 9.81 m/s². (H) 2H V g a. If an object falls from a height of 100 meters, how long does it take to hit the ground? t(4)= 4.52 seconds b. Write a function to determine the height of an object if you know the time it takes for the object to hit the ground. 2H= ((H) 9 c. If you drop an object from the top of the JW Marriot in downtown Grand Rapids, it will take 4.1 seconds to hit the ground. What is the height of the building? Use your function from part b. 2 (H) = (4.1) H = 9.81 m/s² 2H= (-41m15²) H
ications of Inverse Functions You can model time, t. in seconds an object takes to reach the ground falling from height, H, in meters by the function below. The value of g if 9.81 m/s². (H) 2H V g a. If an object falls from a height of 100 meters, how long does it take to hit the ground? t(4)= 4.52 seconds b. Write a function to determine the height of an object if you know the time it takes for the object to hit the ground. 2H= ((H) 9 c. If you drop an object from the top of the JW Marriot in downtown Grand Rapids, it will take 4.1 seconds to hit the ground. What is the height of the building? Use your function from part b. 2 (H) = (4.1) H = 9.81 m/s² 2H= (-41m15²) H
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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Transcribed Image Text:Kamren Bethea
MAT-171
Ingram
Applications of Inverse Functions
1. You can model time, t. in seconds an object takes to reach the ground falling from
height, H, in meters by the function below. The value of g if 9.81 m/s².
t(H) =
2H
g
a. If an object falls from a height of 100 meters, how long does it take to hit
the ground?
t(H) = 4.52 seconds
b. Write a function to determine the height of an object if you know the time
it takes for the object to hit the ground.
2H= ((H)
9
c. If you drop an object from the top of the JW Marriot in downtown Grand
Rapids, it will take 4.1 seconds to hit the ground. What is the height of the
building? Use your function from part b.
2 (H) = (4.1) H
=
9.81 m/s²
2H= (-41m15²) H
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