The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why?

Explanation

To understand why the instantaneous speed is always equal to the magnitude of instantaneous velocity, we can break down the concepts of speed and velocity step by step.

### Step 1: Definitions
- **Speed** is defined as the distance traveled per unit time. It is a scalar quantity, meaning it only has magnitude and no direction.
- **Velocity** is defined as the displacement (change in position) per unit time. It is a vector quantity, meaning it has both magnitude and direction.

### Step 2: Instantaneous Speed and Instantaneous Velocity
- **Instantaneous Speed** is the speed of an object at a specific moment in time. It can be thought of as the limit of the average speed as the time interval approaches zero.
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