Answer:
Jack:
Average velocity: , Average speed:
Jill:
Average velocity: , Average speed:
Explanation:
We assume that each swimmer returns to the point of the departure each two lengths of the pool.
The average velocity is defined by the following definition:
(1)
Where:
- Total time, measured in seconds.
- i-th Relative vector position, measured in meters.
- Number of lengths done by the swimmer.
And the average speed is represented by the following formula:
(2)
Where is the norm of the i-th relative vector position, measured in meters.
Now, we proceed to calculate both values for both swimmers:
Jack - Average velocity (, , )
Jack - Average speed (, , )
Jill - Average velocity (, , )
Jill - Average speed (, , )