Answered

Get comprehensive solutions to your questions with the help of IDNLearn.com's experts. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

A person jog eight complete laps around a 400 m track in a total time of 14.9 min. Calculate the average speed in m/s and average velocity in m/s?

Sagot :

W0lf93idn
The average speed of the person jogging is .45 m/s. This answer can be determined by taking 400m and dividing by 14.9 min. This will give you 26.8 m/min. You then convert the minutes to seconds in the denominator by multiplying 26.8 m/min by 1min/60s and you get .45 m/s.
Skyluke89idn

1) Average speed

First of all, we need to convert the total time from minutes to seconds. Keeping in mind that 1 min = 60 s, we have

[tex] t=14.9 min \cdot 60 s/min =894 s [/tex]

Each lap is 400 m, and the person completes 8 laps, so the total distance covered by the person is

[tex] S=8 \cdot 400 m=3200 m [/tex]


The average speed is just the ratio between the total distance and the total time:

[tex] v=\frac{S}{t}=\frac{3200 m}{894 s}=3.6 m/s [/tex]


2) Average velocity

The average velocity is equal to the ratio between the total displacement of the person and the total time:

[tex] v=\frac{d}{t} [/tex]

however, the total displacement is zero, because the person returns to his starting point (the track is a closed circuit). Therefore, d=0 and the average velocity is zero as well:

[tex] v=0 [/tex]

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.