Here's why:
* Speed is the magnitude of velocity. It tells you how fast an object is moving but doesn't indicate direction.
* Velocity is a vector quantity, meaning it has both magnitude (speed) and direction.
Therefore, the ratio of velocity to speed is simply the ratio of the magnitude of velocity to itself, which is always 1.
Example:
Let's say an object is moving at a speed of 10 m/s to the east.
* Speed: 10 m/s
* Velocity: 10 m/s east (magnitude and direction)
The ratio of velocity to speed is (10 m/s east) / (10 m/s) = 1.