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 138 feet and stayed in the air for 5.3 seconds before it touched the ground. Pretty good for a Duffer. Mercury has a gravity of approximately 12 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 Mercury if it was hit at the same height, angle and velocity as Duffer's. The data below represent the results of that simulation: 1 2 3 4 H(t) 116| 175| 222 | 257 | 280 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. Н() — 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 feet after seconds. Use your model to determine how long it will take for the golf ball to hit the surface of Mercury. Round your answer to two decimal places. The golf ball will reach the surface of Mercury after seconds.

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,...
icon
Related questions
icon
Concept explainers
Topic Video
Question
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 138 feet and stayed in the air for 5.3 seconds before it touched the ground. Pretty good
for a Duffer.
Mercury has a gravity of approximately 12 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 Mercury 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)
116 175 222
257 280
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
feet after
seconds.
Use your model to determine how long it will take for the golf ball to hit the surface of Mercury.
Round your answer to two decimal places.
The golf ball will reach the surface of Mercury after
seconds.
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 138 feet and stayed in the air for 5.3 seconds before it touched the ground. Pretty good for a Duffer. Mercury has a gravity of approximately 12 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 Mercury 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) 116 175 222 257 280 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 feet after seconds. Use your model to determine how long it will take for the golf ball to hit the surface of Mercury. Round your answer to two decimal places. The golf ball will reach the surface of Mercury after seconds.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education