At a given moment in time, instantaneous speed can be thought of as the magnitude of the instantaneous velocity.

Here's why:

* Velocity is a vector quantity, meaning it has both magnitude (speed) and direction.

* Speed is a scalar quantity, meaning it only has magnitude.

* Instantaneous velocity is the velocity of an object at a specific moment in time.

* Instantaneous speed is the magnitude of the instantaneous velocity, meaning it tells you how fast the object is moving at that specific moment, without considering the direction.

Example:

Imagine a car traveling at 60 mph eastward.

* Instantaneous velocity: 60 mph eastward (both magnitude and direction)

* Instantaneous speed: 60 mph (only magnitude)

So, the instantaneous speed is just the numerical value of the instantaneous velocity, without the direction information.