# 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

$$\large{ \overrightarrow{s} = v_i + a\;t }$$

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

$$\large{ \overrightarrow{s} = v_i\; t + \frac{1}{2} a\;t^2 }$$

$$\large{ \overrightarrow{s} = v_f\; t - \frac{1}{2} a\;t^2 }$$

Symbol 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: Motion Equations