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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

166 feet and stayed in the air for 6.1 seconds before it touched the ground. Pretty good for a Duffer.

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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

H(t) 120

5

2 3 4

194 256 306 344

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,

feet after

The golf ball will reach a maximum height of

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.

Fig: 1