# Motion

Motion is the acceleration, displacement, or velocity of an object relative to a given frame of reference. There are four basic types of motion with each one moving different than the other. There is a fifth called irregular motion which does not actually count as one.

### Types of Motion

**Linear motion**is anything that moves in a straight line.**Oscillating motion**(**simple harmonic motion**) moves repeatedly back and forth.**Rotary motion**is anything that moves in a circle.**Reciprocating motion**moves backwards and forwards in a straight line.**Irregular motion**is any motion that has no fixed pattern.

## Linear Motion

### Linear Motion Formula

\(\large{ x = \bar {v} t \;\;\;\;\; \bar {v} = \frac{v_i + v }{2} }\)

\(\large{ v = v_i + at }\)

\(\large{ x = v_i t + \frac {1}{2} at^2 }\)

\(\large{ v^2 = v_{i}{^2} + 2ax }\)

Where:

\(\large{ x }\) = position (linear motion)

\(\large{ a }\) = acceleration

\(\large{ v }\) = velocity

\(\large{ v_i }\) = initial velocity

\(\large{ \bar {v} }\) = averave velocity

\(\large{ t }\) = time

## Rotational Motion

### Rotational Motion Formula

\(\large{ \theta = \bar {\omega} t }\)

Where:

\(\large{ \theta }\) (Greek symbol theta) = angular position (rotational motion)

\(\large{ \bar {\omega} }\) (Greek symbol omega) = averave angular velocity

\(\large{ t }\) = time

Tags: Equations for Motion