1. Instantaneous velocity of an object is given as,
![](https://www.sarthaks.com/?qa=blob&qa_blobid=10606515032684216179)
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.
![](https://www.sarthaks.com/?qa=blob&qa_blobid=14164234903842023973)
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.
![](https://www.sarthaks.com/?qa=blob&qa_blobid=10078985973896356693)