If you have swam one lap in a swimming pool, that means you have swam from one end to the other and back. In 4 h, a swimmer makes exactly 93 laps in a swimming pool that is 50 m long. Determine the distance the swimmer traveled, the total displacement of the swimmer, the swimmer's average velocity, and the swimmer's average speed.

The total length traveled back and forth in one lap is 50 m + 50 m = 100 m. The swimmer swims 93 of these laps, so he travels a distance of 93*100 = 9,300 m. The total displacement of the swimmer is zero (he ends up in the same place where he started). The swimmer's average velocity is also zero, because he spends half the route going in a positive direction, and half in a negative direction. The swimmer's average speed is 9,300 m/ 4h

To determine the distance the swimmer traveled, you need to multiply the number of laps by the length of the swimming pool. In this case, the swimmer made 93 laps, and the swimming pool is 50 meters long. So, the distance traveled by the swimmer is:

Distance = Number of laps * Length of the pool = 93 laps * 50 m = 4650 meters.

Next, let's determine the total displacement of the swimmer. The total displacement is the shortest straight-line distance from the initial position to the final position. Since the swimmer swam from one end of the pool to the other and back, the total displacement is zero. This is because when the swimmer returns to the starting position, their overall displacement is canceled out.

Now, let's calculate the swimmer's average velocity. Average velocity is defined as the total displacement divided by the total time taken. In this case, the total displacement is zero, and the total time taken is 4 hours or 14400 seconds.

Average Velocity = Total Displacement / Total Time = 0 / 14400 = 0 m/s.

Finally, let's calculate the swimmer's average speed. Average speed is defined as the total distance traveled divided by the total time taken.

Average Speed = Total Distance / Total Time = 4650 meters / 14400 seconds ≈ 0.323 m/s (rounded to three decimal places).

Therefore, the swimmer traveled a distance of 4650 meters, had a total displacement of 0 meters, an average velocity of 0 m/s, and an average speed of approximately 0.323 m/s.