The rate of change of velocity is directly related to acceleration. Acceleration is defined as the rate of change of velocity with respect to time. In mathematical terms, it can be expressed as:
acceleration = d(velocity) / dt
where "d" represents the derivative (rate of change), "velocity" is the instantaneous velocity, and "dt" represents a small change in time.
Essentially, acceleration measures how quickly an object's velocity is changing over time. If the acceleration is positive, it means the object's velocity is increasing, and if the acceleration is negative, it means the object's velocity is decreasing. The magnitude of the acceleration determines how quickly the velocity is changing, with larger accelerations indicating faster changes in velocity.