## FOOTBALL MATHS: THE LONGEST KICK

June 3, 2016

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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!

## 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

## Lego Olympics Flags

February 23, 2012

### The Lego Marching band is rehearsing for the Opening ceremony.

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### Hula Lula (Grinmania)

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# A. National Flag of  Comotosia

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### How will you do this? (Hint below)

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# BUT

## Lego Olympic Opening Ceremony

February 23, 2012

# triumphant Trumpet Fanfare.

### Here is the US Army Herald Trumpets playing a rousing fanfare:

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# Time on circuit (T) in mins:

## March Time with 1 min gap between groups:

### Here are the results for different gap times:

 Nation March Time Gap time 0 min March Time Gap Time  1 min March Time Gap Time  2 min March Time Gap Time  3 min PJ Boy + the Pajamaramas 8 8 8 8 Mummy’s Boy and the Crytomanians 5mins 20 secs 6 mins 20 secs 7mins 20 secs 8 mins 20 secs Olag and The Beserkers 4 6 8 10