Linear Motion

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

linear motion 1Linear 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