Non-Linear Functions(adsbygoogle = window.adsbygoogle || []).push({});

Introduction: When a golfer hits a golf ball squarely at the bottom of the swing, with the shaft perpendicular to the ground, the ball is propelled into the air in a direction perpendicular to the face of the club [see the diagram below]. The different club angles produce different initial horizontal speeds and different maximum horizontal distances reached along the ground. Various pieces of electronic equipment were used to obtain the data for the various club angles. The information is reproduced in the following chart.

Tasks:

1. Use an appropriate method of regression to find a formula for a relationship between club angle and initial speed. Express the numbers in the formula to 3 decimal places.

2. Draw the scatter plot as well as the curve of the relationship found in question 1 on the graph paper provided.

3. Use your formula to estimate the initial speed when the club angle is 25 degrees.

4. What would the club angle be if the initial speed were 45 metres per second?

5. Use an appropriate method of regression to find a formula for a relationship between club angle and the maximum horizontal distance reached. Express the numbers in the formula to 3 decimal places.

6. Draw the scatter plot as well as the curve of the relation found in question 5 on the graph paper provided

7. Use your formula to estimate the maximum horizontal distance reached when the club angle is 45 degrees.

8. What would the club angle be if the maximum horizontal distance reached were 120 metres?

9. On the third piece of graph paper extend the graph make in question 6 into the second quadrant.

http://i2.photobucket.com/albums/y9/clubenvy/one.jpg [Broken]

http://i2.photobucket.com/albums/y9/clubenvy/two.jpg [Broken]

http://i2.photobucket.com/albums/y9/clubenvy/three.jpg [Broken]

http://i2.photobucket.com/albums/y9/clubenvy/four.jpg [Broken]

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# Homework Help: Non-Linear Functions

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