Answer: 250 km/h
Explanation:
To find the average velocity of the airplane, we need to divide the displacement by the time taken:
Average velocity = Displacement / Time
The displacement of the airplane is 500 km northwest, which means that it has moved 500 km in the northwest direction. Since this is a vector quantity, we need to specify both its magnitude and direction. We can represent this displacement as (-500 km, +500 km) in the x-y coordinate system, where the negative sign indicates that the displacement is in the west direction and the positive sign indicates that it is in the north direction.
The time taken by the airplane is 2 hours. Therefore, we have:
Average velocity = (-500 km, +500 km) / 2 h
To simplify the calculation, we can divide each component of the displacement by the time:
Average velocity = (-250 km/h, +250 km/h)
Therefore, the average velocity of the airplane is 250 km/h in the northwest direction.