Final answer:
The balloon traveled a distance of 80 m during the first 10 s and a distance of 50 m during the next 5 s. The total distance traveled during the entire trip is 130 m. The average velocity during the first 10 s is 8 m/s, the average velocity during the next 5 s is 10 m/s, and the average velocity for the entire trip is 8.67 m/s.
Step-by-step explanation:
To find the distance traveled during the first 10 s, we need to add up the distances traveled during the two time intervals separately. In the first 8 s, the balloon drifts 30 m east, and in the next 2 s, it flies 50 m west. Therefore, the total distance traveled during the first 10 s is 30 m + 50 m = 80 m.
To find the distance traveled during the next 5 s, we need to consider only the time interval from 8 s to 10 s. During this time, the balloon flies 50 m west. Therefore, the distance traveled during the next 5 s is 50 m.
The total distance traveled is the sum of the distances traveled during the first 10 s and the next 5 s. So the total distance traveled is 80 m + 50 m = 130 m.
The average velocity during the first 10 s can be calculated by dividing the total distance traveled (80 m) by the total time taken (10 s), so the average velocity during the first 10 s is 8 m/s.
The average velocity during the next 5 s can be calculated by dividing the distance traveled during that time (50 m) by the time taken (5 s), so the average velocity during the next 5 s is 10 m/s.
The average velocity for the entire trip can be calculated by dividing the total distance traveled (130 m) by the total time taken (15 s), so the average velocity for the entire trip is 8.67 m/s.