Velocity is a measure of the rate of change of an object’s position over a period of time, while acceleration is the rate of change of an object’s velocity over a period of time. Both are related to one another, and when the velocity of an object changes, the acceleration of that object changes as well. In this article, we will explore what happens to the acceleration when the velocity changes during the same time period.

## Change in Velocity

Velocity is the rate of change of an object’s position over a period of time. It is calculated by dividing the distance traveled by the time taken for the journey. When the velocity of an object changes, it is said to have undergone an acceleration. This means that the object has changed its speed, either in terms of its magnitude or its direction.

If the velocity of an object increases, then it is said to have undergone a positive acceleration. On the other hand, if the velocity of the object decreases, then it is said to have undergone a negative acceleration. For example, if the velocity of a car increases from 30 mph to 40 mph in 10 seconds, then the car has undergone a positive acceleration.

## Impact on Acceleration

When the velocity of an object changes, the acceleration of the object also changes. If the velocity of an object increases during the same time period, then the acceleration of the object also increases. This is because the object is changing its speed faster than before. Similarly, if the velocity of an object decreases during the same time period, then the acceleration of the object also decreases.

The rate of change of acceleration is also determined by the rate of change of velocity. If the velocity of an object increases quickly, then the acceleration of the object will also increase quickly. On the other hand, if the velocity of an object increases slowly, then the acceleration of the object will also increase slowly.

It is important to note that the rate of change of acceleration is not always equal to the rate of change of velocity. This is because acceleration is the rate of change of velocity over a period of time, and the rate of change of velocity can vary from one moment to the next.

In conclusion, when the velocity of an object changes during the same time period, the acceleration of the object also changes. If the velocity of an object increases, then the acceleration of the object also increases. On the other hand, if the velocity of an object decreases, then the acceleration of the object also decreases. The rate of change of acceleration is also determined by the rate of change of velocity, and the rate of change of acceleration is not always equal to the rate of change of velocity.