Evaluating and Solving Quadratic Functions Duffer McGee stood on a hill and used a nine iron to hit a golf ball that reached a maximum height of 169 feet and stayed in the air for 6.1 seconds before it touched the ground. Pretty good for a Duffer. Neptune has a gravity of approximately 36 feet per second squared compared to Earth's 32 feet per second squared. NASA did a simulation to try to determine how high the golf ball would fly and how long it would stay in the air on Neptune if it was hit at the same height, angle and velocity as Duffer's. The data below represent the results of that simulation: t 1 2 3 4 5 H(t) 114 150 150 114 42 Use the Quadratic Regression feature of your calculator to generate a mathematical model for this situation. Write the function below. Round each coefficient to the nearest whole number. H(t) Based on your model how high is the hill from which the golf ball was hit?? feet high. The golf ball was hit from a hill Use your model to estimate how long the golf ball will take to reach its maximum height and what its maximum height will be. Round your answers to two decimal places. The golf ball will reach a maximum height of seconds. feet after Use your model to determine how long it will take for the golf ball to hit the surface of Neptune. Round your answer to two decimal places. The golf ball will reach the surface of Neptune after seconds.
Evaluating and Solving Quadratic Functions Duffer McGee stood on a hill and used a nine iron to hit a golf ball that reached a maximum height of 169 feet and stayed in the air for 6.1 seconds before it touched the ground. Pretty good for a Duffer. Neptune has a gravity of approximately 36 feet per second squared compared to Earth's 32 feet per second squared. NASA did a simulation to try to determine how high the golf ball would fly and how long it would stay in the air on Neptune if it was hit at the same height, angle and velocity as Duffer's. The data below represent the results of that simulation: t 1 2 3 4 5 H(t) 114 150 150 114 42 Use the Quadratic Regression feature of your calculator to generate a mathematical model for this situation. Write the function below. Round each coefficient to the nearest whole number. H(t) Based on your model how high is the hill from which the golf ball was hit?? feet high. The golf ball was hit from a hill Use your model to estimate how long the golf ball will take to reach its maximum height and what its maximum height will be. Round your answers to two decimal places. The golf ball will reach a maximum height of seconds. feet after Use your model to determine how long it will take for the golf ball to hit the surface of Neptune. Round your answer to two decimal places. The golf ball will reach the surface of Neptune after seconds.
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:Evaluating and Solving Quadratic Functions
Duffer McGee stood on a hill and used a nine iron to hit a golf ball that reached a maximum
height of 169 feet and stayed in the air for 6.1 seconds before it touched the ground. Pretty
good for a Duffer.
Neptune has a gravity of approximately 36 feet per second squared compared to Earth's 32
feet per second squared. NASA did a simulation to try to determine how high the golf ball
would fly and how long it would stay in the air on Neptune if it was hit at the same height,
angle and velocity as Duffer's. The data below represent the results of that simulation:
t
1
2
3
4 5
H(t) 114 150 150 114 42
Use the Quadratic Regression feature of your calculator to generate a mathematical model for
this situation. Write the function below. Round each coefficient to the nearest whole number.
H(t) =
Based on your model how high is the hill from which the golf ball was hit??
The golf ball was hit from a hill
feet high.
Use your model to estimate how long the golf ball will take to reach its maximum height and
what its maximum height will be. Round your answers to two decimal places.
The golf ball will reach a maximum height of
seconds.
feet after
Use your model to determine how long it will take for the golf ball to hit the surface of
Neptune. Round your answer to two decimal places.
The golf ball will reach the surface of Neptune after
seconds.
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