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the rate at which velocity changes is called
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The rate of change of velocity is part of the definition of `acceleration` Mathematically:\[\huge \vec{a}=\frac{d \vec{v}}{dt}=\frac{d^2 \vec{x}}{dt^2}\] Acceleration is the first derivative of velocity and the second derivative of position
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`Acceleration: The rate of change of velocity is acceleration. Like velocity, acceleration is a vector and has both magnitude and direction. For example, a car in straight-line motion is said to have forward (positive) acceleration if it is speeding up and rearward (negative) acceleration if it is slowing down. We sometimes refer to negative acceleration as deceleration.` Source: http://lyle.smu.edu/propulsion/Pages/newton.htm
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