Why is acceleration a derivative of velocity?

Derivative is just a mathematical way to denote rate of change in something. Velocity is actually change in position (say x) of an object with time, hence Velocity is dx/dt. read more

Velocity is the change in position, so it's the slope of the position. Acceleration is the change in velocity, so it is the change in velocity. Since derivatives are about slope, that is how the derivative of position is velocity, and the derivative of velocity is acceleration. read more

Velocity, V(t) is the derivative of position (height, in this problem), and acceleration, A(t), is the derivative of velocity. Thus The graphs of the yo-yo’s height, velocity, and acceleration functions from 0 to 4 seconds. read more

In the discussion of the applications of the derivative, note that the derivative of a distance function represents instantaneous velocity and that the derivative of the velocity function represents instantaneous acceleration at a particular time. read more