Fastest Pitch Ever Thrown

The other day I got real curious what the fastest pitch ever recorded is. To keep this mathish the formula for velocity is (here is the long answer): V = d / t (or v = dd/dt & v = integral of acceleration with respect to time for physics involving calculus) 

where V is velocity, d is displacement (distance traveled) and t is time. 

vf = vi + a*t 

(vf)^2 = (vi)^2 + 2*a*d 

Where vf is final velocity, vi is initial velocity, and a is acceleration 

v = p/m 

Where p is object's momentum and m is object's mass

ajahahahhaha didn't think id "throw" that at you did you?!?!?!

anyways enjoy these cheese throwers !

Order by Fastest Observed Speed 

Pitcher
Radar Speed
Date
Location

Mark Wohlers
103.0 mph
1995
Spring Training

Joel Zumaya
103.0 mph
07-04-2006
McAfee Coliseum

Armando Benitez
102.0 mph
05-24-2002
Shea Stadium

Bobby Jenks
102.0 mph
08-27-2005
Safeco Field

Randy Johnson
102.0 mph
07-09-2004
Pacific Bell Park

Robb Nen
102.0 mph
10-23-1997
Jacobs Field

A.J. Burnett
101.0 mph
05-31-2005
PNC Park

Rob Dibble
101.0 mph
06-08-1992
Candlestick Park

Kyle Farnsworth
101.0 mph
05-26-2004
Minute Maid Park

Eric Gagne
101.0 mph
04-16-2004
Pacific Bell Park

Jose Mesa
101.0 mph
05-01-1993
Cleveland Stadium

Guillermo Mota
101.0 mph
07-24-2002
Qualcomm Stadium

Justin Verlander
101.0 mph
05-10-2006
Camden Yards

Billy Wagner
101.0 mph
06-11-2003
Yankee Stadium

Nolan Ryan
100.9 mph
08-20-1974
Anaheim Stadium

Josh Beckett
100.0 mph
10-12-2003
Pro Player Park

Daniel Cabrera
100.0 mph
05-09-2005
Camden Yards

Roger Clemens
100.0 mph
10-10-2001
Yankee Stadium

Bartolo Colon
100.0 mph
10-06-1999
Jacobs Field

Francisco Cordero
100.0 mph
07-07-2004
Jacobs Field

Rich Harden
100.0 mph
05-27-2005
McAfee Stadium

Jorge Julio
100.0 mph
09-16-2004
Skydome

J.R. Richard
100.0 mph
05-25-1976
Candlestick Park

C.C. Sabathia
100.0 mph
06-28-2002
Jacobs Field

Ben Sheets
100.0 mph
07-10-2004
Miller Park

Derrick Turnbow
100.0 mph
05-27-2005
Miller Park

Kerry Wood
100.0 mph
08-10-2005
Wrigley Field

Shapes on Polar Graphs

Class was quite the doozy today in Mathland. So many shapes yet so little times. Sometimes I feel like Miss V doesn't understand that I am a senior and academics do not appeal to me as a form of interest at this moment of my life. Im jk. Miss V is a visionary but it would be nice to not have to do school at this point. Oh well. I will go pout to my mom now. Anyways. Some of the equations and shapes we learned in class on this special day include limaçons, rose curves, circles, and lemniscates.

Limaçons:

r = a ± b cosθ
r = a ± b sinθ
(0 < a, 0 < b)

Rose curves (if n is odd, there will be n "petals"; if n is even, there will be 2n "petals"):

r = a cos(nθ)
r = a sin(nθ)
(n ≥ 2)

Circles:

r = a cosθ
r = a sinθ

Lemniscates:

r² = a² sin(2θ)
r² = a² cos(2θ)
r = a ± b sinθ
(0 < a, 0 < b)

Rose curves (if n is odd, there will be n "petals"; if n is even, there will be 2n "petals"):

r = a cos(nθ)
r = a sin(nθ)
(n ≥ 2)

Circles:

r = a cosθ
r = a sinθ

Lemniscates:

r² = a² sin(2θ)
r² = a² cos(2θ)

Polar Graphs

I don't come to class too much. As you can probably tell. But. I am making good use of my buddies in class. Thank the Lord for good men like Alecs who can teach me the lesson from their blog. Here are some of the things I picked up. 

We learned about a new system of graphing. Originally, we used the rectangular graphing system, but now we can use the polar graphing system.

On a rectangular graph, a point is defined by (x, y). To reach this point, you must travel x units to the right and y units up. No point can be defined by two different ordered pairs; for example, the point (1, 6) can only be defined by (1, 6).

On a polar graph, a point is defined by (r, θ). To reach this point, you must travel r units in the direction of θ radians. This means that a point can be defined by multiple different ordered pairs; for example, the point (2, π) can also be defined by (-2, 0). This is because traveling 2 units in the direction π is the same as traveling 2 units backwards from the direction 0 or 2π.

To convert from polar to rectangular coordinates, use the following equations:

x = r cosθ
y = r sinθ

To convert from rectangular to polar coordinates, use the following equations:

tanθ = y / x
r² = x² + y²

Average Heights

The other day I was feeling slightly short and really needed an ego boost. SO, I looked up the average heights in to world and rest assured I felt better about myself. I would still like an inch or so but whatever. Here are my results.

Country and average female height:

• Argentina 161.03 cm (5 ft 3.4 in)
• Australia 163.9 cm (5' 4.5")
• Bahrain 154.7 cm (5' 1")
• Belgium 163.3 cm (5' 4.3")
• Brazil 158.0 cm (5' 2.2")
• Cameroon 161.3 cm (5' 3.5")
• Canada 161.0 cm (5' 3.4")
• China (PRC) 154.5 cm (5' 0.8")
• China 158.6 cm (5' 2.5")
• Colombia 158.65 cm (5' 2.4")
• Côte d'Ivoire 159.1 cm (5' 2.7")
• Czech Republic 167.3 cm (5' 6.0")
• Dinaric Alps 171.0 cm (5' 7.2")
• Finland 164.7 cm (5' 4.7")
• France 161.9 cm (5' 3.7")
• Ghana 158.53 cm (5' 2.4")
• Gambia 157.8 cm (5' 2.2")
• Germany 165 cm (5' 4.9")
• Guatemala (Maya people) 142.2 cm (4' 6")
• Hong Kong 158.8 cm (5' 2.6")
• Hungary, Debrecen 165.84 cm (5' 5.2")
• Iceland 167.6 cm (5' 6")
• India 152.4 cm (5' 0")
• Indonesia 147.0 cm (4' 10.0")
• Indonesia, East Bali 151.3 cm (4' 11.5")
• Iran 160.0 cm (5' 3")
• Iraq 155.8 cm (5' 1.3")
• Israel 162.7 cm (5' 4.1")
• Italy - Middle & North 163.2 cm (5' 4.2")
• Italy - South 160.8 cm (5' 3.3")
• Japan 158.8 cm (5' 2.6")
• Korea, South 162.56 cm (5' 4")
• Malaysia 153.3 cm (5' 0.4")
• Malta 159 cm (5' 2.6")
• Malawi 155 cm (5' 1.1")
• Mali 160.4 cm (5' 3.2")
• Mexico, State of Morelos 155 cm (5' 1.1")
• Netherlands 168.7 cm (5' 6.4")
• New Zealand 165.0 cm (5' 5")
• Nigeria 157.8 cm (5' 2.1")
• Norway 167.2 cm (5' 5.9")
• Philippines 151.8 cm (4' 11.8")
• Singapore 160 cm (5' 3")
• South Africa 159.0 cm (5' 2.5")
• Spain 161 cm (5' 3.3")
• Sweden 166.9 cm (5' 5.7")
• Switzerland 164.0 cm (5' 3.8")
• Taiwan 159.68 cm (5' 2.75")
• Thailand 157.3 cm (5' 1.9")
• Turkey 161.4 cm (5' 3.5")
• United Kingdom 163.7 cm (5' 4.4")
• U.S. 164.1 cm (5' 4.6")
• Vietnam 156

If you wish to read about weight in relation to height and body composition, see the page link, further down this page, listed under Related Questions. 
 

Country and average male height:

• Argentina 174.46 cm (5 ft 8.6 in)
• Australia 178.4 cm (5' 10.2")
• Bahrain 165.1 cm (5' 5")
• Belgium 176.6 cm (5' 9.5")
• Brazil 169.0 cm (5' 6.5")
• Cameroon 170.6 cm (5' 7.2")
• Canada 174 cm (5' 8.5")
• China (PRC) 164.8 cm (5' 4.9")
• China 169.4 cm (5' 6.7")
• Colombia 170.64 cm (5' 7.2")
• Côte d'Ivoire 170.1 cm (5' 7")
• Czech Republic 180.3 cm (5' 11")
• Denmark 180.6 cm (5' 11.1")
• Dinaric Alps 185.6 cm (6' 1.0")
• Estonia 179.1 cm (5' 10.5")
• Finland 178.2 cm (5' 10")
• France 174.1 cm (5' 8.5")
• Ghana 169.46 cm (5' 6.7")
• Gambia 168.0 cm (5' 6.1")
• Germany 178.1 cm (5' 10")
• Guatemala (Maya people) 157.5 cm (5' 2")
• Hong Kong 170 cm (5' 7")
• Hungary, Debrecen 179.14 cm (5' 10.4")
• Iceland 181.7 cm (5' 11.5")
• India 165.3 cm (5' 5")
• Indonesia 158.0 cm (5' 2.2")
• Indonesia, East Bali 162.4 cm (5' 3.9")
• Iran 174.24 cm (5' 8.6")
• Iraq 165.4 cm (5' 5.1")
• Israel 175.6 cm (5' 9.2")
• Italy - Middle & North 176.9 cm (5' 9.7")
• Italy - South 174.2 cm (5' 8.0")
• Japan 171.2 cm (5' 7.4")
• Korea, South 175.26 cm (5' 9")
• Lithuania 176.3 cm (5' 9.4")
• Malaysia 164.7 cm (5' 4.8")
• Malta 169 cm (5' 6.5")
• Malawi 166 cm (5' 5.3")
• Mali 171.3 cm (5' 7.4")
• Mexico, State of Morelos 167 cm (5' 5.7")
• Netherlands 184.8 cm (6' 0.8")
• New Zealand 177.0 cm (5' 9.7")
• Nigeria 163.8 cm (5' 4.5")
• Norway 179.9 cm (5' 10.8")
• Philippines 163.5 cm (5' 4.4")
• Portugal 172.8 cm (5' 8")
• Singapore 170.6 cm (5' 7.2")
• South Africa 169.0 cm (5' 6.5")
• Spain 170 cm (5' 7")
• Sweden 180 cm (5' 10.9")
• Switzerland 175.5 cm (5' 9")
• Taiwan 171.45 cm (5' 7.5")
• Thailand 167.5 cm (5' 5.9")
• Turkey 173.74 cm (5' 8.4")
• United Kingdom 176.8 cm (5' 9.6")
• U.S. 178.2 cm (5' 10.2")
• Vietnam 167 cm