Yes, acceleration is indeed defined as the ratio of the change in velocity to the time taken for that change to occur. Mathematically, acceleration (a) is given by the equation:
a = (change in velocity) / (time taken)
This equation represents the average acceleration over a given time interval. If the velocity is changing at a constant rate, you can calculate the average acceleration by dividing the change in velocity by the time taken.
It's important to note that acceleration is a vector quantity, meaning it has both magnitude and direction. The direction of acceleration can be the same as the direction of velocity (when speeding up) or opposite to the direction of velocity (when slowing down).