Rate of Change in Acceleration
The rate of change in acceleration, abbreviated as \(a_c\), is the time derivative of acceleration, the second derivative of velocity or the third derivative of position. In physics, it is known as the jerk.
rate of change in acceleration formulas |
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\(\large{ a_c = \frac {d}{t} }\) \(\large{ a_c = \frac { a_f \;-\; a_i }{ t } }\) |
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Symbol | English | Metric |
\(\large{ a_c }\) = rate of change in acceleration | \(\large{\frac{ft}{sec^3}}\) | \(\large{\frac{m}{s^3}}\) |
\(\large{ d }\) = displacement | \(\large{ ft }\) | \(\large{ m }\) |
\(\large{ a_f }\) = final acceleration | \(\large{\frac{ft}{sec^2}}\) | \(\large{\frac{m}{s^2}}\) |
\(\large{ a_i }\) = initial acceleration | \(\large{\frac{ft}{sec^2}}\) | \(\large{\frac{m}{s^2}}\) |
\(\large{ t }\) = time taken for change in velocity | \(\large{ sec }\) | \(\large{ s }\) |
Tags: Acceleration