*Instantaneous velocity * is defined as the value approached by the average velocity when the time interval for measurement becomes closer and closer to zero, i.e. Dt ® 0.

Mathematically,

*v(t) = *

The *instantaneous velocity function *is the derivative with respect to the time of the displacement function.

*v(t)* =

**The instantaneous speed can be defined as **the magnitude of the (instantaneous) velocity vector.

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