Acceleration is defined as the rate of change of velocity over time. In the given scenario, the bus accelerates at 25 m/s over a time period of 10 seconds and then moves at a constant velocity.
To find the total acceleration, we need to calculate the average acceleration during the period of acceleration and consider the fact that the acceleration becomes zero once the bus reaches constant velocity.
Average acceleration can be calculated using the formula:
Average acceleration = (change in velocity) / (time interval)
During the acceleration phase, the change in velocity is 25 m/s (as given) and the time interval is 10 seconds. Plugging these values into the formula:
Average acceleration = (25 m/s) / (10 s) = 2.5 m/s²
Therefore, the average acceleration during the acceleration phase is 2.5 m/s².
Once the bus reaches its constant velocity, there is no further change in velocity, so the acceleration becomes zero.
In summary, the total acceleration is 2.5 m/s² during the acceleration phase and zero when the bus reaches constant velocity.