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# Relation of math and volleyball

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## Cassandra Couture

on 14 June 2013

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#### Transcript of Relation of math and volleyball

By: Cassandra Couture
Relation of
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
Sites used:
http://infosolblog.com/volleyball-and-math/
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.
Full transcript