Final answer:
The plane's acceleration from Centerville to Middleton is calculated by subtracting the starting velocity from the final velocity and then dividing by the time interval. It results in an acceleration of 100 m/s² north.
Step-by-step explanation:
To calculate the plane's acceleration from Centerville to Middleton, we need to use the formula:
Acceleration = (final velocity - starting velocity) ÷ time
The final velocity of the plane is 11,000 m/s north, and the starting velocity is 6,000 m/s north. The time it takes to change velocity is 50 seconds. Subtracting the starting velocity from the final velocity gives us the change in velocity:
Change in velocity (Delta V) = 11,000 m/s - 6,000 m/s = 5,000 m/s
Now we divide this value by the time interval:
Acceleration = 5,000 m/s ÷ 50 s = 100 m/s²
The plane's acceleration is 100 meters per second squared (m/s²) to the north.