To understand this concept more clearly, consider the following scenario:
- Imagine a car moving along a straight road at a certain speed.
- If the driver suddenly applies the brakes, the car will experience a force in the opposite direction to its motion (i.e., backward).
- This opposing force, which is friction between the tires and the road, will cause the car's velocity to decrease.
- As the car continues to move forward, the friction force will continue to act against it, causing its velocity to decrease further until it eventually comes to a stop.
In this example, the acceleration of the car is in the opposite direction to its motion (backward), and as a result, the car's velocity decreases.
Mathematically, this relationship can be expressed using the equation of motion:
v = u + at
Where:
- v is the final velocity of the object
- u is the initial velocity of the object
- a is the acceleration of the object
- t is the time elapsed
In the case of an object moving with acceleration opposite to its motion, the acceleration (a) will be negative, which will result in a decrease in the final velocity (v).