# Linear Motion

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Linear motion is a one direction motion on a one dimensional plane using acceleration, displacement, and velocity.

## Linear motion formulas

 $$\large{ \overrightarrow{s} = v_i + a\;t }$$ $$\large{ \overrightarrow{s} = \frac{1}{2} \left( v_i + v_f \right) t }$$ $$\large{ \overrightarrow{s} = v_i\; t + \frac{1}{2} a\;t^2 }$$ $$\large{ \overrightarrow{s} = v_f\; t - \frac{1}{2} a\;t^2 }$$

### Where:

 Units English Metric $$\large{ \overrightarrow{s} }$$ = displacement (linear motion) $$\large{ ft }$$ $$\large{ m }$$ $$\large{ a }$$ = acceleration $$\large{\frac{ft}{sec^2}}$$ $$\large{\frac{m}{s^2}}$$ $$\large{ v_f }$$ = final velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$\large{ v_i }$$ = initial velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$\large{ t }$$ = time $$\large{ sec }$$ $$\large{ s }$$

Tags: Equations for Motion