## FOR THE LONGEST KICK or THROW in Football you need this MATHS

April 19, 2022

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The following maths is suitable for Year 9+

but can be presented to lower grades just to show

maths is cool!

## Tennis Math: Is player height a BIG advantage? USA units

February 13, 2021

Metric version here.

The Australian Open is on at the moment in Melbourne in LOCKDOWN. (We have 1 community-acquired case. Tennis players are in a bubble.)

# Is height a BIG advantage in tennis?

Here are the heights of 3 top seeds in the Australian  Open. (See graph below)

No. 1 Novak Djokovic    6ft 1″  (73 in)

No. 6 Alexander Zverev  6ft 6’   (78 in)

No. 8 Diego Schwartzman  5ft 7’  (67 in)

# 1. Does serve speed increase with height?

That would be an advantage. Here is a Height vs Serve Speed chart for the Top 6 seeds in the tournament:

Find serve speed data here.

There is NO CLEAR HEIGHT ADVANTAGE for serve speed.

# 2. Does the serve return rate increase with height?

Here is Diego Schwartzman (L) when he defeated Alexander Zverev (R ) in the 2019 US Open.

# What is Schwartzman’s Super Power?

Schwartzman, the shortest player on the circuit (see graph above), tops the service returns stats. Highest 2nd serve return rate. Third highest 1st serve return rate. See data below. So agility, speed, and reaction times are also important factors in becoming a tennis star.

Go Schwartzee! Check data here.

## Tennis Maths: Is player height a BIG advantage? Metric

February 13, 2021

USA units post here.

The Australian Open is on at the moment in Melbourne in LOCKDOWN. (We have 1 community-acquired case. Tennis players are in a bubble.)

# Is height a BIG advantage in tennis?

Here are the heights of 3 top seeds in the Australian  Open. (See graph below)

No. 1 Novak Djokovic  188cm

No. 6 Alexander Zverev  198cm

No. 8 Diego Schwartzman  170cm

# 1. Does serve speed increase with height?

That would be an advantage. Here is a Height vs Serve Speed chart for the Top 6 seeds in the tournament:

Find serve speed data here.

There is NO CLEAR HEIGHT ADVANTAGE for serve speed.

# 2. Does the serve return rate increase with height?

Here is Diego Schwartzman (L) when he defeated Alexander Zverev (R ) in the 2019 US Open.

# What is Schwartzman’s Super Power?

Schwartzman, the shortest player on the circuit (see graph above), tops the service returns stats. Highest 2nd serve return rate. Third highest 1st serve return rate. See data below. So agility, speed, and reaction times are also important factors in becoming a tennis star.

Go Schwartzee! Check data here.

April 23, 2018

# Math Mentalist Devises Foolproof Gambling System

## Winter Olympics: Beaten by 0.001 seconds

February 14, 2018

In 2014 Winter Olympics Annette Gerristen (below) lost the Gold Medal in the 1000 m Women’s speed skate competition by 0.02 seconds.

Annette Gerritsen fromthe Netherlands

# If Yara lost the Gold Medal by 0.02 secs (2 hundredths of a second) what would the distance be between the Gold and Silver place getters?

## 23.8 cm behind the Gold Medalist

### The 2018 Olympic Gold Medalist in the 500m Women’s Speed Skating was Arianna Fontana.

Italy’s Arianna Fontana wins the 500 m Speed Skating 2018 Olympic Gold Medal in 42.569 seconds ahead of Yara van Kerkhof of the Netherlands and Kim Boutin of Canada.

# If you lose by  0.001 secs…………

Apollo Ono (below) competed in the 1500m men’s speed skating. He has won 8 Olympic Medals.

If a speed skater lost the Gold Medal by 0.001 seconds, the smallest measured time segment at the Olympics, they would be:

# 1.19 cm

behind the winner. That is less than the length of a small fingernail.

## FOOTBALL MATHS: THE LONGEST KICK

June 3, 2016

………………………………………………

The following maths is suitable for Year 9+

but can be presented to lower grades just to show

maths is cool!

## Could you return Andy Murray’s serve?

January 29, 2015

Mathspig is, like, soooooo excited. Tonight I’m gong to watch

TOMAS BERDYCH

Tomas Berdych (CZE) [7] play Andy Murray (GBR) [6] in the Semi-finals at the Australian Tennis Open.

Andy Murray

Some quick maths.

Tomas Berdych is 1.96 METRES (6 FT. 5 IN.)

While Andy Murray is 1.91 METRES (6 FT. 3 IN.)

But, but, but …. Andy Murray, who is 26 years old and is 2 years younger than Berdych.

# Would you be able to return the serve of a top tennis player?

Here is the serve speed of the of the fastest recorded tennis serves in the world:

How long would it take a tennis ball traveling at these speeds to reach the service line on the other side of the court?

# BUT … BUT … BUT …

The tennis ball leaves the servers racket approx 3m above the baseline and travels along the hypotenuse to the service line. We must call in Pythagorus Theorem!!!!

You can calculate the time it takes a tennis ball to reach the service line for each player in the Top 10 Service Speeds List by using the simple v = x/t equation.

The big question is this:

# How fast is YOUR reaction time?

You have to be able to move your racket before the ball arrives.

Can you do it mathspiggies?

You can calculate your reaction time by two methods:

# 1. The meter rule Method:

See details at Top End Sports Website.

# 2. Online Reaction Time Test

This is the best reaction time clock I’ve seen because it uses a traffic light system. Here is Mathspig’s reaction time:

Mathspigs reaction time was : 0.33 secs (see above)

So Mathspig would probably be hit on the head by a serve by Samuel Groth.

# Could you return Andy Murray’s serve?

According to Wikipedia fastest service speed times for these two players are:

Andy Murray = 233 km/h (145 mph)

Tomas Berdych = 226.0 km/h (140.4 mph)

Tomas Berdych service speed just beats the fastest female tennis serve by Barbora Záhlavová-Strýcová at 225 km/h (140 mph).

Could Mathspig react in time to return Andy Murray’s server? Could you react in time?

Tomas Berdych’s serve would hit the line after 0.29 secs. Once again, I’d still be hit on the head. Ditto the top female tennis players.

Mathspig might lose if she played in the Aussie Tennis Open, but I’m a pig. I’d win serve GRUNT of the match. Ha!

## 5. Beaten by 0.001 seconds

January 23, 2014

Here is a screen grab from the  New York Times article on Speed Skating:

Fractions of a Second: New York Times

Annette Gerritsen fromthe Netherlands

Annette Gerristen lost the Gold Medal in the 1000 m Women’s speed skate competition by 0.02 seconds.

Apollo Ono USA speed skater

Screen Grab NBC Mathletes
Apollo Ono Recorded Speed

From the wonderful NBC Mathletes Video

# How far can a speed skater travel in 0.02 secs?

When 1st and 2nd place are separated by 0.02 seconds, they are travelling at almost the same speed. So the second place contestant is:

# 23.8 cm

behind the winner.

The distance travelled by the winning speed skater in 0.002 seconds would be:

# 2.38 cm.

So the second place competitor would be 2.38 cm behind.

If a speed skater lost the Gold Medal by 0.001 seconds, the smallest measured time segment at the Olympics, they would be:

# 1.19 cm

behind the winner. That is less than the length of a small fingernail.

## Trick 10: Math Mentalist Devises Foolproof Gambling System

November 30, 2012

# Math Mentalist Devises Foolproof Gambling System

## Get Ready for the Lego Olympics

February 23, 2012

# EXERCISE 2:

### This little guy has to run 840 m!!!!! Wow!

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 Structure Real Olympics Lego Olympics 100m Sprint 100m 2m 400m Sprint 400m 42 km marathon 42,000m Olympic Pool Length 50m Olympic Pool Width 25m Olympic Rowing Course 2,000m Equestrian Jump Height 2m Approx Pole Vault Pole Length 5.5m Javelin Length Men Women 2.6m 2.2m Olympic Stadium Straight Segment Semi-circle Radius inner Lane Lane Width 84.39m 36.50m 2.5m