Final answer:
The acceleration of the airplane over the 600 meters is 100 m/s^2.
Step-by-step explanation:
To calculate the acceleration of the airplane, we can use the equation:
acceleration = change in velocity / time
The change in velocity is the difference between the final velocity (360 km/h) and the initial velocity (0 km/h), which is 360 km/h - 0 km/h = 360 km/h.
To convert this velocity to meters per second (m/s), we multiply it by 1000/3600 to get 100 m/s.
The time is given as the length of the runway, which is 600m divided by the ground speed of 360 km/h, converted to m/s: (360 km/h * 1000m/3600s = 100 m/s).
Now we can plug these values into the formula:
acceleration = (100 m/s - 0 m/s) / (600 m / 100 m/s)
Simplifying this equation gives us:
acceleration = 100 m/s^2