If you have swam one lap in a swimming pool, that means you have swam from one end to the other and back. In 1.5 h, a swimmer makes exactly 77 laps in a swimming pool that is 27 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.

Distance = 54m/lap * 77laps = 4158 m.

Displacement = Df-Do = 0-0 = 0.
Do = Starting point.
Df = Final distance from starting point.

V = D/t = 0/1.5 = 0

r = d/t = 4158/1.5 = 2772 m/h.=1.73 mi/h

To determine the distance the swimmer has traveled, we can multiply the number of laps by the length of the pool.

Distance traveled = Number of laps × Length of the pool

Given that the number of laps is 77 and the length of the pool is 27 m, we can calculate the distance:

Distance traveled = 77 laps × 27 m = 2079 m

Therefore, the swimmer traveled a total distance of 2079 meters.

Next, let's determine the total displacement of the swimmer. Displacement is the difference between the initial and final positions and is a vector quantity. Since the swimmer makes laps back and forth, the displacement is zero because the swimmer starts and ends at the same position.

Total displacement = 0 m

Moving on to the swimmer's average velocity, we divide the total displacement by the time taken.

Average velocity = Total displacement / Time taken

Since the total displacement is 0 m, the average velocity will also be zero, regardless of the time taken.

Average velocity = 0 m / 1.5 h = 0 m/h

Therefore, the swimmer's average velocity is 0 m/h.

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

Average speed = Total distance / Time taken

Given that the total distance traveled is 2079 meters and the time taken is 1.5 hours, we can calculate the average speed:

Average speed = 2079 m / 1.5 h = 1386 m/h

Therefore, the swimmer's average speed is 1386 meters per hour.