Quadratic Formula

SOH-CAH-TOA

Unit Circle

Degrees to Radians

Radians to Degrees

Pythagorean Theorem

a^{2}+b^{2}=c^{2}

Vectors

A 2D vector is similar to a point on a graph, but represents a direction and a magnitude.

Adding and Subtracting Vectors

Add or Subtract

all x values

all y values

all z values

to get the new vector.

Multiplying Vectors

Multiply each component of the vector by the value given.

ex. the vector(2,5) multiplied by 2 becomes

(4,10)

Calculating the Magnitude of a Vector

Use the Pythagorean Theorem

a^{2}+b^{2}=c^{2}

or

magnitude =√ a^{2}+b^{2}

magnitude =√ a^{2}+b^{2+}c^{2}

Mathematicians place two vertical bars around a vector to denote its lenght |v|

Normalizing Vectors

When a vector is normalized it retains its direction but its magnitude is recalculated so that it is of unit lenght (a length of 1).

N = v/|v| (divide each component of the vector, by the magnitude of the vector)

Resolving Vectors

The Dot Product

gives the angle between two vectors

**u*v = u _{x}*v_{x}+u_{y}*v_{y }**(not an angle)

The easiest way to get an angle is to normalize **u **and **v **and multiply them together

Time

Measured in Seconds

Distance

d - measured in meters

Mass

m -measured in kilograms

Position

measured from the center of mass

Velocity

v=a*t+v_{0}

v=d/t

(a dropped object) v^{2}=v_{0}^{2}+2ad

Acceleration

Force

30/60/90 Triangle

Gravity Constant Acceleration

9.8m/s^{2}