1. Instantaneous velocity of an object is given as,
2. Motion of the object is given as, x = f(t)
3. The derivative f ‘(f) represents the rate of change of the position f (t) at time t, which is the instantaneous velocity of the object.
4. Acceleration is defined as the rate of change of velocity with respect to time.
5. The second derivative of the position function f “(t) represents the rate of change of velocity i.e., acceleration.