The Relationship Between Velocity And Acceleration: Derivative Calculation Explained.

derivative of velocity with respect to time

instantaneous acceleration

The derivative of velocity with respect to time is acceleration. Mathematically, if v(t) represents the velocity of an object at time t, then the acceleration a(t) of the object at that time is given by:

a(t) = dv/dt

Where dv/dt is the derivative of v(t) with respect to time. In other words, acceleration is the rate of change of velocity with respect to time.

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