## Average Acceleration Formula

Acceleration is defined as the rate of change in velocity. This is indicated by an “a” and is measured in m / s^{2}. The average acceleration at a particular interval is defined as the change in velocity at that particular interval. Unlike acceleration, the average acceleration is calculated at specific intervals.

## Formula

Average acceleration = ∆v / ∆t

Here

∆v = change in velocity

∆t = total time over which there is a change in velocity

Average acceleration = v_{f} – v_{i} / t_{f} – t_{i}

Here,

V_{f} = final velocity

V_{i} = initial velocity

T_{i} = initial time

T_{f} = final time

## Solved examples

**Ex. 1. Sparrows accelerate from 3m / s to 6m / s in 5 seconds on their way back to their nests, but what about the average acceleration? **

**Solution **

Given: Initial velocity, v_{i} = 3m / s

Final velocity v_{f }= 6m / s

Total time for acceleration, t = 5 s

Average acceleration = v_{f }– v_{i} / t_{f} – t_{i}

Average acceleration = 6-3 / 5 = 0.6 m/s^{2}