Brazilian Jiu Jitsu and physics

Introduction

Jiu-Jitsu is a grappling style martial art that uses physics to manipulate the opponent’s body using forces, torque, leverage, and fulcrums. Torque is a rotational force, leverage is found when a force is applied on a lever point, and fulcrums are found where a lever is supported at a point where it can pivot.

Why does Jiu-Jitsu follow this progression?

  1. Get your opponents to the ground
  2. Get past your opponent’s legs (or attack their legs)
  3. Control their hips and shoulders (or their legs)
  4. Add a submission

Jiu-Jitsu follows this progression because on the ground there is less leverage for the opponent to use against you as your center of balance is closer to the ground. Then you must get past their legs because those are the longest, strongest leverage points and most powerful tool to their body. Next, you control their hips and shoulder because that is where their center of gravity is. After all this, you can manipulate their body to submit them

Why does Brazilian Jiu-Jitsu want to control?

Brazilian Jiu-Jitsu wants control because when you are in control you can force your opponent to submit by manipulating their body until you win the match.

2 Techniques 

Armbar

Kneebar

 

Math11PCQuadraticFunctions2017

a(x-p)^2+q

vertex=(p,q)

In this unit I learned how standard form quadratic functions can be interpreted from the equation y=a(x-p)²+q. The “a” value tells you the shape of the graph. The higher the magnitude of the “a” value, the more skinner the parabola becomes. The lower the magnitude of the “a” value, the wider the parabola becomes. If the “a” value is positive, then the graph opens up. If the “a” value is negative, the parabola opens down. The “p” value tells us the translation of the parabola to the right or the left. For example, if p=4, the graph would be translated 4 units to the right and the vertex would be 4 units to the right of the origin. The “q” value tells us the translation of the graph up or down. For example, if q=-8, the graph would be translated 8 units down and the vertex would be 8 units down of the origin.

Here is an example of how we can use this equation to interpret how the graph may look like.

We will use the equation y=0.5(x-8)²+64.

From this equation we know that a=0.5, p=8, ad q=64.

Since, a=0.5, we can interpret that every coordinate will be 0.5 multiplied by the regular coordinate of what it would be as x². We also know that the graph will be wider than x².

Since p=8, we can interpret that the graph will be translated 8 units to the right.

Since q=64, we can interpret that the graph will be translated 64 units up.