Rate of Change in Velocity

The rate of change in velocity, abbreviated as \(v_c\), is the first derivative of velocity, the second derivative of position or the instantaneous change in velocity.  In physics, it is known as acceleration. 

 

Rate of Change in Velocity formulas
\(\large{ v_c = \frac {s}{t} }\)  \(\large{ v_c = \frac { v_f \;-\; v_i }{ t } }\)
Symbol	English	Metric
\(\large{ v_c }\) = rate of change in velocity	\(\large{\frac{ft}{sec^2}}\)	\(\large{\frac{m}{s^2}}\)
\(\large{ s }\) = displacement	\(\large{ ft }\)	\(\large{ m }\)
\(\large{ t }\) = time taken tor change in velocity	\(\large{ sec }\)	\(\large{ s }\)
\(\large{ v_f }\) = final velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)
\(\large{ v_i }\) = initial velocity	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)