Final answer:
The total distance traveled by the plane up until the last second before taking off is 12 + 120 + 100 + 87.5 + 100 + 150 + 5.5556 = 574.0556 km.
Step-by-step explanation:
To find the distance traveled by the plane in the last second before taking off, we need to calculate the total distance traveled by the plane up until that point and then subtract the distance traveled in the previous second. From the information given, we can calculate the total distance traveled. Here is a breakdown of the distances:
- 12 hours ago: 1 km/hr * 12 hours = 12 km
- 4 hours ago: 30 km/hr * 4 hours = 120 km
- 1 hour ago: 100 km/hr * 1 hour = 100 km
- 15 minutes ago: 350 km/hr * 0.25 hours = 87.5 km
- 6 minutes ago: 1000 km/hr * 0.1 hours = 100 km
- 3 minutes ago: 3000 km/hr * 0.05 hours = 150 km
- Current speed: 20000 km/hr * (1/3600) hours = 5.5556 km
So, the total distance traveled by the plane is 12 + 120 + 100 + 87.5 + 100 + 150 + 5.5556 = 574.0556 km.
To find the distance traveled in the last second, we can calculate the difference in the distances traveled in the previous second and the current second. However, we don't have information about the speed during the previous second, so we cannot calculate the exact distance traveled in the last second.