**By: Cassandra Couture**

**Relation of**

Math

and

Volleyball

Math

and

Volleyball

How can Math be related to Volleyball?

Here is a summary of what I will show you in this presentation:

The trajectory of a volley ball

can be represented by a

parabola with a negative

"a" parameter.

Or even a cosine

function represents a

bouncing volleyball.

Angles of your legs and arms when serving, bumping and receiving.

Here is a video that shows the importance of angles in volleyball.

-Parabolas in volleyball trajectory

- The Pythagorean theorem using a volleyball court

- angles of your legs, arms when receiving the ball

-statistics of the ball falling into one part of the court.

- axis of symmetry of the court (net)

Parabolas and

Cosine

All the skills in volleyball like

bump, set and serve include

parabolas.

The highest point that the ball reaches when serving or bumping is the vertex of a parabola with a negative "a".

Also, the "h" of the vertex represents the net because it

is the distance that is halfway of the parabolic path.

Pythagorean Theorem

The serve of a volleyball player can be calculated using the Pythagorean theorem.

Sorry for the low

sound

Here is a video that

demonstrates what i mean

So for example, this volleyball court has

a width (b) of 9m and a length (a) of 18m.

remember:

c is always

the longest

side.

c^2=a^2+b^2

c^2= 18^2+9^2

c^2= 324+81

c= 20.12m

Therefore the serve

would be close to 20.12m

long

As you can see, there are specific places that your body

has to be placed when playing volleyball.

-knees at 45 degrees

-arms are at > than 45 degrees

-hips and thighs have an angle that

has a difference of less than 45 degrees.

Fun fact:

Volleyball was called Mintonette when it was first invented.

Statistics in volleyball

I have performed 2 tests to demonstrate statistics in volleyball:

Axis of Symmetry

Thank you for watching my

Please comment on my blog if you

my presentation or

1. I have served the ball 50 times from the serving over the volleyball net and counted how many times it landed in the court.

serving line

Results:

The volleyball net represents

the axis of symmetry of a

parabola. It makes sense

because the net equally divides

the court so that both teams have

the same amount of court.

As you can see, the place where the net is situated is called the center line

My Resources

Google for my images

Sites used:

http://infosolblog.com/volleyball-and-math/

http://wiki.answers.com/QHow_is_volleyball_and_math_related

http://www.youtube.com/watch?

v=wWihT3mWHw0

I am also asked help from my

former volleyball coach and also

math teacher :)

In the court Outside the court

I I I I I I I

I I I I I I I

I I I I I I I

I I I I I I I

I I I I I I I

I I I I I I I

I I I I I I

I I I

This obviously depends on your skills

when playing volleyball.