Velocity Change Rate formula
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\( v_c \;=\; \dfrac{ \Delta v }{ \Delta t }\) (Velocity Change Rate) \( \Delta v \;=\; v_c \cdot \Delta t \) \( \Delta t \;=\; \dfrac{ \Delta v }{ v_c }\) |
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| Symbol | English | Metric |
| \( v_c \) = Velocity Change Rate | \( ft \;/\; sec\) | \( m \;/\; s \) |
| \( \Delta v \) = Change in Velocity | \( ft \;/\; sec\) | \( m \;/\; s \) |
| \( \Delta t \) = Change in Time | \( sec \) | \( s \) |
Velocity change rate, abbreviated as \(v_c\), also called velocity rate of change, is the measure of how an object’s velocity varies with respect to time, and it is fundamentally known as acceleration. It describes how quickly the speed and/or direction of motion changes, capturing both increases or decreases in speed as well as directional shifts. Mathematically, it is defined as the time derivative of velocity, meaning it quantifies the change in velocity per unit time. In physical systems, the velocity rate of change reflects the influence of forces acting on a mass, as described by Newton’s second law, and it plays a central role in analyzing motion in mechanics, fluid flow, vibration, and dynamic system behavior.
