Final answer:
To find the unknown distance the airplane travels at 20 m/s, subtract the time taken to travel the first 55 meters at 6.3 m/s from the total time, then multiply the remaining time by 20 m/s to get the unknown distance, which is 1025.4 meters.
Step-by-step explanation:
The student is asking how to find the unknown distance an airplane travels at a speed of 20 m/s given a total flight time and a known distance and speed for the first part of the flight. We can solve this problem using the basic motion equation distance = speed × time. First, we need to calculate the time taken for the airplane to travel the first 55 m at a speed of 6.3 m/s, and then subtract this from the total time to find how long the airplane traveled at 20 m/s. Finally, we multiply this remaining time by 20 m/s to find the unknown distance.
Step-by-Step Solution
Calculate the time for the first part of the journey: Time = Distance / Speed = 55 m / 6.3 m/s.
- Subtract this time from the total time to find the time for the second part of the journey.
- Multiply this remaining time by the second speed of 20 m/s to get the unknown distance.
Now, let's calculate it:
- Time for the first part of the journey: 55 m / 6.3 m/s = 8.73 seconds (rounded to 2 decimal places)
- Remaining time for the second journey: 60 s - 8.73 s = 51.27 seconds
- Unknown distance traveled at 20 m/s: 51.27 s × 20 m/s = 1025.4 meters