Jack and jill exercise in a 25.0-m-long swimming pool. jack swims nine lengths of the pool in 2 minutes and 32.1 seconds, while jill, the faster swimmer, covers ten lengths in the same time interval. find the average velocity and average speed of each swimmer.

Respuesta :

Average Speed

Jack swims nine lengths of a 25 meter long swimming pool in 2 minutes and 32.1 seconds.

So, total distance [tex]=(25*9)meters= 225 meters[/tex] and time [tex]=(60*2+32.1)seconds=152.1 seconds[/tex]

Thus, average speed of Jack [tex]=\frac{Distance}{Time}=\frac{225}{152.1}meters/second=1.4792...meters/second[/tex]

Now, Jill swims ten lengths of the 25 meter long swimming pool in the same time interval.

So, the total distance [tex]=(25*10)meters=250 meters[/tex] and time [tex]=152.1 seconds[/tex]

Thus, average speed of Jill [tex]=\frac{Distance}{time}=\frac{250}{152.1} meters/second=1.6436...meters/second[/tex]


Average Velocity

As Jack swims nine lengths of the pool, it means he ends up at the opposite end of the pool from where he started.  So, the net displacement = 25 meter

Thus, average velocity of Jack [tex]=\frac{Displacement}{Time}=\frac{25}{152.1} meters/second=0.1643...meters/second[/tex]

Now, Jill swims ten length of the pool, it means he ends up at the starting position. So, the net displacement = 0 meter

Thus, average velocity of Jill [tex]=\frac{Displacement}{Time}=\frac{0}{152.1}meter/second= 0[/tex] meter/second.


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