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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!**

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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!**

**Nathan Chen, 22, USA, wins GOLD in the Men’s Figure skating with 5 brilliant, soaring quadruple jumps executed to perfection to Elton John’s “Goodbye Yellow Brick Road” and “Rocket Man.”**

**According to the fab NBC video, Mathletes, nine Figure Skating judges score competitors for the complexity of each element (eg. Triple axel or triple spin jump) and the quality of the performance producing a score out of ten.**

This is a typical figure skating score card for one competitor.

The final score, however, is based on the average for only 5 of these scores. Two are eliminated by random selection (Red Brackets). Then the top and bottom scores are removed and the remaining five scores averaged.

Four scores are removed. Two by the random selector (in brackets) and then the top and bottom scores (with line drawn through them)

Four scores are removed. Two by the random selector (in brackets) and then the top and bottom scores (with line drawn through them). But this time the random selector eliminates two low scores.

The average:

Same score cards but Skater B gets a higher average score than Skater A.

Skater A is, in fact, beaten by a random number selector!!!!

**The following information comes from the article 2 Companies Say Their Vaccines Are 95% Effective. What Does That Mean? Carl Zimmer, New York Times, 20 Nov 2020.**

**See Principles of Epidemiology here.**

As Dolly Parton donated $1Million to Moderna, the vaccine research group, it is only appropriate to include a VACCINE parody of her hit song, Jolene put together by the Dept of Health, AUSTRALIA.

**Melbourne singer, songwriter, and geometrically inclined performer Gotye performing with Kimbra won 3 Grammy Awards for his song Somebody that I used to Know in 2013.**

**The Gotye youtube clip has had 1,535,344,012 or 1.5 Billion hits since it was first uploaded 5th July 2011. **

**In 111 months Somebody that I used to know has scored 1.5 Billion hits. How many hits a. per month, b. per day, c. per minute? (Round off numbers)**

**Ans: a. 13.5 Million per month**

** b. 450,000 per day (Assuming 30 days per month)**

** c. 37,500 per hour and 625 per minute (for over 9 years non stop!)**

**The Influencer Marketing Hub **puts the rates an advertiser pays between **$0.10** to **$0.30** per view on Youtube, but averages out at $0.18 per view. Using the lower rate, how much has this song earnt in just over 7 years?

**Earnings = 0.10 x 1.5 x 10 ^{9 } = 1.5 x 10^{8} = $150,000,000 = $150 million***

*This calculation is based on a click per view of the video. Gotye will not receive anything like $150M, however, because advertisers pay per click on their ad.

**According to the Influencer Marketing Hub again ‘on average, the YouTube channel can receive $18 per 1,000 ad views. This equates to $3 – $5 per 1000 video views.’ Again, using the lower rate:**

**Video Hits =1.5 x 10 ^{9}**

**Divide by 1,000 = 1.5 x 10 ^{9 }÷10^{3} = 1.5 x 10^{6}**

**$3.00 per 1,000 video clicks earnings = 3.00 x 1.5 x 10 ^{6} = 4.5 x 10^{6}**

**Realistic Earnings = 4.5 x 10 ^{6} = $4,500,000 = $4.5 million**

**Here is Mathspig’s take on the song:**

**It’ll either help students do their exercises or work like Clockwork Orange and have them running screaming out of the room when they hear the first few notes.**

There is some amazing Middle School Maths in The Cake Server on Joseph’s Machines.

eg. Calculate the length of the arc of a circle to fit your HEAD! Watch for it.

Besides, this is so much FUN!

Maths is essential to the process, from calculating speeds and braking distances to looking at the ratio of the amount of film shot to the length of time of the end sequence. The stunt and crash is outlined, and the co-ordinator explains how he must calculate speeds and stopping distances carefully.

First think of the pain.

Mark Eiden, 52, a professional stuntman (pictured) who is not only afraid of heights, but was once told he likely wouldn’t walk again. Eiden’s had surgery on both arms and shoulders, five knee surgeries, six nasal reconstructions, foot and hand surgery and a facial cast. He fell off the top of a stunt car at 40 mph when the tyre blew. He gaffer taped his ear and continued, despite severe concussion. Northern Express Michigan

If you still want to be a stuntman do the Maths:

You can use quick handbrake turn, speed around a corner, fishtail into the curb or some other lunatic thing. The most controlled way to roll a car is to use a ramp.

These ramps often have a kicker at the end to add extra lift. Ramp calculations can be complicated, but the simplest way to look at the maths is to determine the angle a car will roll ie. When the Centre of Gravity moves over the base.

The distance between the front wheels in cars is often called the track width.

Table from Accident Reconstruction Website

So the Lamobgini Diablo is very hard to roll (build a higher ramp) and it therefore beats the SUV for stability every time.

A more skilled stunt involves driving a car on two wheels. A very skilled stunt driver can lift the car onto wheels by snaking the car back and forth across the road until it balances on 2 wheels.

From the Centre of Gravity vs Base angles above you can see that the SUV is the easiest car to balance of 2 wheels.

But there is nothing quite as crazy as this SUV stunt:

View full video here.

Safe Driving Info here

Star Stuntmen Monte Perin (pictured) has involved many films, including “Spider-Man,” “Star Trek, “Indiana Jones and the Kingdom of the Crystal Skull” and portraying Arnold Schwarzenegger’s stunt double in “Terminator 3: Rise of the Machines.”

Perhaps his most difficult stunt was landing his Harley in an open boxcar of a moving train for Disney’s 2008 Adam Sandler movie “Bedtime Stories”. In a career of over 25 years Perin has broken “almost everything” including both his arms, legs, knees, feet, ankles, several ribs, his back and his pelvis. See Confessions of a stuntman

Veteran stuntman Evel Knievel (1938 – 2007) was the pioneer of many stunt jumps. Here he is jumping 10 cars and 3 vans in 1973.

His injuries are legendary:

More Evel Knievel

The angle of the kicker in ramp design can vary from 10^{0} – 70^{0} (See below)

As any bike nut knows increasing speed and angle of take off will increase jump distance.

Here is a graph from final gear for speed vs angle to jump 90m.

METHOD 1 is approximate (See STEP 1 & STEP 2 above), but as METHOD 2 produces the same ans (See above), it is very useful.

You will find a thoroughly detailed calc for STUNT JUMP MATHS here:

And everything you ever wanted to know about PHYSICS OF STUNT JUMPS here.