Jack and Jill exercise in a 25.0 m long swimming pool. Jack swims 9 lengths of the pool in 155.5 s (2 min and 35.5 s) , whereas Jill, the faster swimmer, covers 10 lengths in the same time interval. Find the average velocity and average speed of each swimmer.

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 (, , )

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