Math IA
IB Math Studies Internal Assessment:
Is the distance a tennis ball travels horizontally dependent on the angle of which it is dropped at?
Exam Session: May 2014
School Name:
Teacher:
Course: IB Math Studies
Word Count: 654
Name:
Is the distance a tennis ball travels horizontally dependent on the angle of which it is dropped at?
Introduction
In tennis, players hit the tennis ball in certain ways so the ball goes the way they want it to go. Hitting it at certain angles enables the tennis ball to travel various distances, it depending on the angle. Some angles make the ball go short or far distances.
Statement of Task The main purpose of this investigation is to determine whether there is a relationship between the distance a tennis ball travels horizontally and the angles of which it is dropped at. The type of data that will be collected is that I will drop a tennis ball, at a constant height of 4 feet, at from different angles (30°, 40°, 50°, 60°, 70°), twenty times for each angle with a total of one-hundred drops and measuring the distance of each drop in feet. The data will be used to determine whether the angle of which a ball is dropped affects how far a tennis ball travels horizontally.
Plan of Investigation I am investigating if the distance a tennis ball travels horizontally dependent on the angle it is drops at. I have collected data on the distances a tennis ball travels horizontally at five various angles (30°, 40°, 50°, 60°, 70°). With the collection of data that I have acquired, a number of mathematical processes were used to analyze the data: scatter plot, histogram, and linear regression.
Diagram of the set-up of investigation
Mathematical Investigation
Collected Data
Angles of which tennis ball were dropped at
Trails
30°
40°
50°
60°
70°
1
11.23
10.45
9.65
8.62
7.32
2
11.47
10.23
9.81
8.18
7.41
3
11.56
10.56
8.13
8.32
7.18
4
12.26
10.23
9.21
7.47
Is the distance a tennis ball travels horizontally dependent on the angle of which it is dropped at?
Exam Session: May 2014
School Name:
Teacher:
Course: IB Math Studies
Word Count: 654
Name:
Is the distance a tennis ball travels horizontally dependent on the angle of which it is dropped at?
Introduction
In tennis, players hit the tennis ball in certain ways so the ball goes the way they want it to go. Hitting it at certain angles enables the tennis ball to travel various distances, it depending on the angle. Some angles make the ball go short or far distances.
Statement of Task The main purpose of this investigation is to determine whether there is a relationship between the distance a tennis ball travels horizontally and the angles of which it is dropped at. The type of data that will be collected is that I will drop a tennis ball, at a constant height of 4 feet, at from different angles (30°, 40°, 50°, 60°, 70°), twenty times for each angle with a total of one-hundred drops and measuring the distance of each drop in feet. The data will be used to determine whether the angle of which a ball is dropped affects how far a tennis ball travels horizontally.
Plan of Investigation I am investigating if the distance a tennis ball travels horizontally dependent on the angle it is drops at. I have collected data on the distances a tennis ball travels horizontally at five various angles (30°, 40°, 50°, 60°, 70°). With the collection of data that I have acquired, a number of mathematical processes were used to analyze the data: scatter plot, histogram, and linear regression.
Diagram of the set-up of investigation
Mathematical Investigation
Collected Data
Angles of which tennis ball were dropped at
Trails
30°
40°
50°
60°
70°
1
11.23
10.45
9.65
8.62
7.32
2
11.47
10.23
9.81
8.18
7.41
3
11.56
10.56
8.13
8.32
7.18
4
12.26
10.23
9.21
7.47
Cited: Picture on cover: http://us.123rf.com/400wm/400/400/aditkok/aditkok0703/aditkok070300189/806459-three-tennis-balls-on-a-white-background.jpg