Kinematic Equations

on . Posted in Classical Mechanics

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 \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)

 

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Tags: Velocity Equations Motion Equations