Linear Motion

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

 

Linear motion formula
\(\large{ \overrightarrow{a} =  \frac{ \Delta v }{ \Delta t }  }\)
Symbol	English	Metric
\(\large{ \overrightarrow{a} }\) = linear acceleration	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{m}{s^2}}\)
\(\large{ \Delta t }\) = time differential	\(\large{ sec }\)	\(\large{ s }\)
\(\large{ \Delta v }\) = velocity differential	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)

 

Linear motion formula
\(\large{ \overrightarrow{d} = v_i\; t + \frac{1}{2} a\;t^2  }\)
Symbol	English	Metric
\(\large{ \overrightarrow{d} }\) = linear displacement	\(\large{ ft }\)	\(\large{ m }\)
\(\large{ a }\) = acceleration	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{m}{s^2}}\)
\(\large{ v_i }\) = initial velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{ t }\) = time	\(\large{ sec }\)	\(\large{ s }\)

 

Linear motion formula
\(\large{ \overrightarrow{d} =  \frac{1}{2} \; \left( v_f + v_i \right) \; t  }\)
Symbol	English	Metric
\(\large{ \overrightarrow{d} }\) = linear displacement	\(\large{ ft }\)	\(\large{ m }\)
\(\large{ a }\) = acceleration	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{m}{s^2}}\)
\(\large{ v_i }\) = initial velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{ t }\) = time	\(\large{ sec }\)	\(\large{ s }\)

 

Linear motion formula
\(\large{ \overrightarrow{v_f} =  v_i + a\;t  }\)
Symbol	English	Metric
\(\large{ \overrightarrow{v_f} }\) = linear final velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{ a }\) = acceleration	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{m}{s^2}}\)
\(\large{ v_i }\) = initial velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{ t }\) = time	\(\large{ sec }\)	\(\large{ s }\)