Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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 :

W0lf93
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.
skyluke89

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]

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.