If you have swam one lap in a swimming pool, that means you have swam from one end to the other and back. In 2.5 h, a swimmer makes exactly 26 laps in a swimming pool that is 37 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.
To determine the distance the swimmer traveled, we need to multiply the number of laps by the length of the pool:
Distance = Number of laps * Length of the pool
Distance = 26 laps * 37 m
Distance = 962 meters
So, the swimmer traveled a total distance of 962 meters.
To find the total displacement of the swimmer, we need to know the starting and ending points. However, since the swimmer completes 26 laps, starting and ending at the same point, the total displacement is zero.
The swimmer's average velocity is defined as the total displacement divided by the total time taken:
Average velocity = Total displacement / Total time
Average velocity = 0 / 2.5 h
Average velocity = 0 m/h
Therefore, the swimmer's average velocity is 0 m/h.
The swimmer's average speed is defined as the total distance traveled divided by the total time taken:
Average speed = Total distance / Total time
Average speed = 962 m / 2.5 h
Average speed = 384.8 m/h
So, the swimmer's average speed is approximately 384.8 m/h.
To determine the distance the swimmer traveled, we need to multiply the number of laps by the length of the pool. In this case, the swimmer made 26 laps and the length of the pool is 37 meters. Therefore, the distance traveled by the swimmer is:
Distance = Number of laps × Length of the pool
Distance = 26 laps × 37 m
Distance = 962 meters
So, the swimmer traveled a distance of 962 meters.
Next, let's calculate the total displacement of the swimmer. Displacement is the straight-line distance between the starting and ending points. Since the swimmer goes from one end of the pool to the other and then back, the total displacement is zero. This is because the swimmer returns to the starting point, resulting in a net displacement of zero.
Now, let's find the swimmer's average velocity. Velocity is defined as the displacement divided by the time taken. So, we need to divide the total displacement (which is zero) by the time of 2.5 hours.
Average velocity = Displacement / Time elapsed
Average velocity = 0 / 2.5 h
Average velocity = 0 m/h
Therefore, the swimmer's average velocity is zero meters per hour. This is because the swimmer returns to the starting point, so there is no overall change in position.
Finally, let's calculate the swimmer's average speed. Average speed is defined as the total distance traveled divided by the time taken. So, we need to divide the distance of 962 meters by the time of 2.5 hours.
Average speed = Total distance / Time elapsed
Average speed = 962 m / 2.5 h
Average speed = 384.8 m/h
Therefore, the swimmer's average speed is approximately 384.8 meters per hour.