If you have swam one lap in a swimming pool, that means you have swam from one end to the other and back. In 3.5 h, a swimmer makes exactly 86 laps in a swimming pool that is 43 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.

Question

If you have swam one lap in a swimming pool, that means you have swam from one end to the other and back. In 3.5 h, a swimmer makes exactly 86 laps in a swimming pool that is 43 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.

Answer 1

First, an English lesson.

http://www.verb2verbe.com/conjugation/english-verb/swim.aspx

So if you have swum one 43 laps, you end at the place you started. your displacement is zero.
average velocity: zero
distance: 86*43*2

average speed: distance/time

Answer 2

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.

Answer 3

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

Distance traveled = Number of laps x Length of pool

The swimmer completed 86 laps, and the pool is 43 meters long.

Distance traveled = 86 laps x 43 m = 3708 m

So, the swimmer traveled a distance of 3708 meters.

To determine the total displacement of the swimmer, we need to find the difference between the initial and final positions. Since the swimmer swam laps back and forth, the displacement will be zero.

Total displacement = 0

The swimmer's average velocity can be calculated using the formula:

Average velocity = Total displacement / Time taken

In this case, since the total displacement is zero, the average velocity will also be zero.

Average velocity = 0

Finally, the swimmer's average speed can be calculated using the formula:

Average speed = Total distance traveled / Time taken

The swimmer traveled a distance of 3708 meters in a time of 3.5 hours. To calculate the average speed, we need to convert the time from hours to seconds.

1 hour = 3600 seconds

Time taken = 3.5 hours x 3600 seconds/hour = 12600 seconds

Average speed = 3708 m / 12600 s ≈ 0.294 m/s

So, the swimmer's average speed is approximately 0.294 meters per second.