Write the definition of instantaneous velocity.

(N/A) The average velocity describes how fast an object moves over a given time interval,but it does not specify the velocity at specific moments within that interval. To address this,we define instantaneous velocity as the velocity of an object at a particular instant of time. Mathematically,it is defined as the limit of the average velocity as the time interval $\Delta t$ approaches zero: $v = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t} = \frac{dx}{dt}$.