A swimmer travels from the south end to the north end of a 30.0 m pool in 15.0 s and makes the return trip to the starting position in 19.0 s. What is the average velocity for the roundtrip?

60 meters in 34 seconds. That is avg velocity of 60m/34s = ? m/s.

2.27 m/s to the north

To find the average velocity for the roundtrip, we need to first find the total distance traveled and then divide it by the total time taken.

1. Calculate the total distance:
The swimmer travels from the south end to the north end in 15.0 s, which means the distance covered is equal to the length of the pool. So, the distance from the south end to the north end is 30.0 m.
On the return trip, the swimmer covers the same distance, so the total distance covered for the roundtrip is 2 * 30.0 m = 60.0 m.

2. Calculate the total time:
The swimmer takes 15.0 s to go from the south end to the north end and 19.0 s to make the return trip. Therefore, the total time for the roundtrip is 15.0 s + 19.0 s = 34.0 s.

3. Calculate the average velocity:
Average velocity is defined as total distance traveled divided by the total time taken.
Average Velocity = Total Distance / Total Time

In this case, the total distance is 60.0 m, and the total time is 34.0 s.

Using the formula:
Average Velocity = 60.0 m / 34.0 s ≈ 1.76 m/s

So, the average velocity for the roundtrip is approximately 1.76 m/s.