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.
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.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section8.5: Using Intercept Form
Problem 85E
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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 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.
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