rate of change in acceleration formula |
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\( j \;=\; \dfrac{ da }{ dt }\) (Rate of Change in Acceleration) \( da = j \cdot dt \) \( dt \;=\; \dfrac{ da }{ j }\) |
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| Symbol | English | Metric |
| \( j \) = Rate of Change in Acceleration | \(ft / sec^3\) | \(m / s^3\) |
| \( da \) = Infinitesimally Small Change in Acceleration | \( ft \) | \( m \) |
| \( dt \) = Infinitesimally Small Change in Time | \( sec \) | \( s \) |
Rate of change in acceleration, abbreviated as \(j\), also called jerk, is how quickly an object’s acceleration itself is increasing or decreasing over time. While acceleration measures how fast velocity changes, the rate of change of acceleration describes how fast the acceleration is changing at each moment. If acceleration rises smoothly, the rate of change in acceleration is positive; if acceleration decreases, it is negative. This concept is important in situations where sudden changes in acceleration matter, such as vehicle design, roller coaster engineering, machinery movement, and comfort analysis, because large or abrupt values can cause stress on materials or discomfort to people.
