If you have swam one lap in a swimming pool, that means you have swam from one end to the other and back. In 3 h, a swimmer makes exactly 30 laps in a swimming pool that is 30 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.

1 Lap = 2 * 3o m = 60 m.

a. d = 60 m/Lap * 30 Laps. = 1800 m. = Distance traveled

b. Displacement = 0 because the starting point and end point are the same.

c.

d. S = d/t = 1800 m/3h = 600 m/h.

c. Vavg = D/t = 0/3 = 0.

To determine the distance the swimmer traveled, you need to find out how far the swimmer covered in total. Since the swimmer completes 30 laps, and each lap is from one end to the other and back, the distance per lap is 30 m (since the pool is 30 m long). So the total distance traveled is 30 laps multiplied by 30 m per lap, which is equal to 900 m.

The total displacement of the swimmer is the shortest distance between the starting and ending points, regardless of the path taken. Since the swimmer starts and ends at the same point, the displacement is zero. This is because displacement takes into account the change in position from the initial to the final point, and in this case, the starting and ending points coincide.

To determine the swimmer's average velocity, you need to calculate the displacement and divide it by the time taken. In this case, since the displacement is zero, the average velocity is also zero. The swimmer's average velocity is the rate at which the swimmer changes position over a given time interval. However, since the starting and ending points are the same, there is no change in position and therefore the average velocity is zero.

Finally, to find the swimmer's average speed, you need to calculate the total distance traveled and divide it by the time taken. In this case, the swimmer traveled a distance of 900 m and took 3 hours, so the average speed is 900 m divided by 3 hours, which equals 300 m/h. The swimmer's average speed is a measure of how fast the swimmer covers distance without considering the direction.