# 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 Formula

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

\(\large{ s = \frac{1}{2} \left( v_i + v_f \right) t }\)

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

\(\large{ s = v_f t - \frac{1}{2} at^2 }\)

Where:

\(\large{ s }\) = displacement (linear motion)

\(\large{ a }\) = acceleration

\(\large{ v_f }\) = final velocity

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

\(\large{ t }\) = time

Tags: Equations for Motion