The instantaneous velocity at a point P can be found by making Dt smaller and smallerIn this case DX will also become smaller and point Q will approach PIf we continue this process letting Q approach P thus allowing Dt and DX to decrease but never disappear completely the. S 6t 2 2t 4 Velocity v 12t 2. Velocity is speed with a direction.
Like average velocity instantaneous velocity is a vector with dimension of length per time.
Speed is how fast something moves. After a short interval time Dt following the instant tthe body reaches the point Q which is described by the position X2. The instantaneous velocity of an object is the limit of the average velocity as the elapsed time approaches zero or the derivative of x with respect to t. Instantaneous Velocity Lim DT 0 DSDT dSdT It is the velocity of the object calculated in the shortest instant of time possible calculated as the time interval DT tends to zero.