Answer:
To find the average speed of the reconnaissance plane, we need to consider the total distance traveled and the total time taken.
1. The plane flies 456 km away from its base at a speed of 676 m/s. To find the time taken, we divide the distance by the speed: 456 km / 676 m/s = 0.6748 s.
2. The plane then flies back to its base at a speed of 1014 m/s. Again, we calculate the time taken by dividing the distance (456 km) by the speed (1014 m/s): 456 km / 1014 m/s = 0.4497 s.
3. To find the total time taken, we add the time taken for the outbound and return trips: 0.6748 s + 0.4497 s = 1.1245 s.
4. To calculate the average speed, we divide the total distance (2 * 456 km) by the total time taken: (2 * 456 km) / 1.1245 s ≈ 810.32 m/s.
Therefore, the average speed of the reconnaissance plane is approximately 810.32 m/s.