Here's why:
* Velocity tells us the direction and speed of an object.
* Acceleration tells us the rate of change of velocity.
Scenario 1: Positive Velocity and Positive Acceleration
* Velocity: The object is moving in the positive direction (e.g., to the right).
* Acceleration: The object is accelerating in the positive direction (e.g., speeding up to the right).
Scenario 2: Negative Velocity and Negative Acceleration
* Velocity: The object is moving in the negative direction (e.g., to the left).
* Acceleration: The object is accelerating in the negative direction (e.g., speeding up to the left).
In both scenarios, the object's velocity and acceleration are increasing in the same direction, meaning the object is speeding up.
Key Point: If velocity and acceleration have opposite signs, the object is slowing down.
