Here's why:
* Velocity has both magnitude (speed) and direction.
* Acceleration is the rate of change of velocity.
* So, if the magnitude of velocity increases, it means the speed is increasing, which directly indicates acceleration.
Example:
* A car moving at 20 mph accelerates to 30 mph. The magnitude of its velocity (speed) has increased, meaning the car has accelerated.
Important Note: Acceleration can also occur when the direction of velocity changes, even if the speed remains constant. For example, a car turning a corner at a constant speed is still accelerating because its direction of motion is changing.
