Question

What is lnstantaneous velocity
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Answer 1

Instantaneous velocity is the speed and direction of an object at a specific moment, calculated as the derivative of its position with respect to time. Refer below.

Step-by-step explanation:

Instantaneous velocity refers to the velocity of an object at a specific moment in time. Unlike average velocity, which is calculated over a finite time interval, instantaneous velocity gives the speed and direction of an object at a particular instant.

Mathematically, instantaneous velocity is defined as the limit of the average velocity as the time interval approaches zero. In calculus terms, it is the derivative of the position function with respect to time. If x(t) represents the position of an object at time t, then the instantaneous velocity v(t) is given by:

`v(t) = \lim_(\Delta t \to 0) (\Delta x)/(\Delta t)=(d)/(dt)\left[x(t)\right]`

This means that instantaneous velocity is the rate of change of position with respect to time at a particular instant. It is a vector quantity, meaning it has both magnitude (speed) and direction.