Uniform Acceleration means the velocity changes by the same amount in each unit of time. This constant rate of velocity change is key to determining the average velocity.

Uniform Acceleration Average Velocity

For an object moving with uniform acceleration, the velocity increases or decreases steadily. In this specific scenario, the average velocity ($v_{avg}$) can be calculated as the simple average of the initial velocity ($v_i$) and the final velocity ($v_f$) over the time interval.

Average Velocity Formula

The formula derived from the definition of uniform acceleration is:

$ v_{avg} = \frac{v_i + v_f}{2} $

Where:

• $v_{avg}$ is the average velocity.
• $v_i$ is the initial velocity.
• $v_f$ is the final velocity.

This formula holds true *only* when the acceleration is constant (uniform).