Kinematic Equations

Kinematics formulas are about objects in motion and their interrelationship.  These formulas are only accurate if acceleration is constant during a time interval and it assumes all variables are in the same direction.  The following four equations describe the object in motion.

 

Kinematic Equations formulas
\(\large{ v_f = v_i + a \; t }\) \(\large{ d =  \left( \frac{ v_f  \;+\; v_i }{ 2 } \right) \; t }\) \(\large{ d = v_i \;t + \frac{ 1 }{ 2 } a \; t^2 }\) \(\large{ v_f^2 = v_i + 2 \; a \; d }\)
Symbol	English	Metric
\(\large{ s }\) = displacement	\(\large{ft}\)	\(\large{m}\)
\(\large{a}\) = constant acceleration	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{m}{s^2}}\)
\(\large{t}\) = travel time	\(\large{sec}\)	\(\large{s}\)
\(\large{v_f}\) = final velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{v_i}\) = initial velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)